5. Appendix C - 2012 HCS AnalysisAppendix C
2012 HCS Analysis
HCS+: Unsignalized Intersections Release 5.6
TWO-WAY STOP CONTROL SUMMARY
Analyst: TMW
Agency/Co.: COK
Date Performed: 2/13/2012
Analysis Time Period: 7:45 TO 8:45 AM
Intersection: MERAPPEA
Jurisdiction: FLATHEAD CO
Units: U. S. Customary
Analysis Year: 2012
Project ID: 12-002 EXISTING CONDITIONS
East/West Street: APPLEWAY DRIVE
North/South Street:
Intersection Orientation: NS Study period (hrs): 0.25
___Vehicle Volumes and Adjustments_
-----------------
Major Street: Approach Northbound Southbound
Movement 1 2 3 J 4 5 6
L T R I L T R
Volume
62 385
0
0
331
13
Peak -Hour Factor, PHF
0.91 0.91
01.91
1.00 0.78
0.78
Hourly Flow Rate, HFR
68 423
0
0
424
16
Percent Heavy Vehicles
1 --
--
1
--
--
Median Type/Storage
Undivided
/
RT Channelized?
Lanes
0 1 0
0 1 0
Configuration
LTR
LTR
Upstream Signal?
No
No
---------------------------
Minor Street: Approach
--------------------------
Westbound
Eastbound
Movement
7 8
9
1 10
11
12
L T
R
I L
T
R
Volume
Peak Hour Factor, PHF
Hourly Flow Rate, HFR
Percent Heavy Vehicles
Percent Grade M 0
Flared Approach: Exists?/Storage
Lanes
Configuration
Approach
Movement
Lane Config
v (vph)
C(m) (vph)
V/c
95% queue length
Control Delay
LOS
Approach Delay
Approach LOS
19 0 133
0.74 0.74 0.74
25 0 179
0 0 0
1
/ No
0 1 0
LTR
FA
Delay, Queue Length, and Level of Service
NB SB Westbound Eastbound
1 4 1 7 8 9 I 10 11 12
LTR LTR J 1 LTR
---- ------ ------------------ --------------------------
68 0 204
1125 1142 522
0.06 0.00 0.39
0.19 0.00 1.84
8.4 8.2 16.3
A A C
16.3
C
HCS+: Unsignalized Intersections Release 5.6
Phone: Fax:
E-Mail:
TWO-WAY STOP CONTROL(TWSC) ANALYSIS
Analyst:
TMW
Agency/Co.:
COK
Date Performed:
2/13/2012
Analysis Time Period:
7:45 TO 8:45
AM
Intersection:
MERAPPEA
Jurisdiction:
FLATHEAD
CO
Units: U. S. Customary
Analysis Year:
2012
Project ID: 12-002 EXISTING
CONDITIONS
East/West Street:
APPLEWAY
DRIVE
North/South Street:
Intersection Orientation:
NS
Study period
(hrs): 0.25
—------------
---------
--Vehicle
Volumes
and
Adjustments
-----------------------
Major Street Movements
1
2
3
4
5
6
L
T
R
L
T
R
-- -----------------------------------------------------
Volume
62
385
0
0
331
13
Peak -Hour Factor, PHF
0.91
0.91
0.91 1.00
0.78
0.78
Peak-15 Minute Volume
17
106
0
0
106
4
Hourly Flow Rate, HFR
68
423
0
0
424
16
Percent Heavy Vehicles
1
--
--
1
--
--
Median Type/Storage
Undivided
/
RT Channelized?
Lanes
0
1 0
0
1
0
Configuration
LTR
LTR
Upstream Signal?
No
No
------------- --------------------------
Minor Street Movements
7
---------------------------------------
8
9
10
11
12
L
T
R
L
T
R
— ---------------------------------
Volume
Peak Hour Factor, PHF
Peak-15 Minute Volume
Hourly Flow Rate, HFR
Percent Heavy Vehicles
Percent Grade (%) 0
Flared Approach: Exists?/Storage
RT Channelized?
Lanes
Configuration
Movements
------------------
19
0
133
0.74
0.74
0.74
6
0
45
25
0
179
0
0
0
1
/
No
0
1 0
LTR
Pedestrian Volumes_ and Adjustments
13 14 15 16
Flow (ped/hr)
0 0 0 0
Lane Width (ft)
Walking Speed (ft/sec)
Percent Blockage
Prog.
Flow
vph
S2 Left -Turn
Through
S5 Left -Turn
Through
12.0 12.0 12.0 12.0
4.0 4.0 4.0 4.0
0 0 0 0
Upstream Signal Data
Sat Arrival Green Cycle Prog. Distance
Flow Type Time Length Speed to Signal
vph sec sec mph feet
------------------------------------ ------------------------------------
Worksheet 3-Data for Computing Effect of Delay to Major Street Vehicles
Movement 2 Movement 5
Shared In
volume, major
th vehicles:
423
Shared In
volume, major
rt vehicles:
0
Sat flow
rate, major th
vehicles:
1700
Sat flow
rate, major rt
vehicles:
1700
Number of
major street
through lanes:
1
Worksheet 4-Critical Gap and Follow-up Time Calculation
Critical Gap Calculation
424
16
1700
1700
1
Movement
1
4
7
8
9
10
11
12
L
L
L
T
R
L
T
R
---------------------
t(c,base)
4.1
--------------------
4.1
-----------------------
7.1
6.5
--___ ------
6.2
t(c,hv)
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
P(hv)
1
1
0
0
0
t(c,g)
0.20
0.20
0.10
0.20
0.20
0.10
Percent Grade
0.00
0.00
0.00
1.00
1.00
1.00
t(3,1t)
0.00
0.00
0.70
0.00
0.00
t(c,T):
1-stage
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
2-stage
0.00'
0.00
1.00
1.00
0.00
1.00
1.00
0.00
t(c)
1-stage
4.1
4.1
6.6
6.7
6.3
2-stage
-------
--------------------------------------------------------------------
Follow-Up
Time Calculations
Movement
1
4
7
8
9
10
11
12
L
L
L
T
R
L
T
R
--------------------------------------
t(f,base)
2.20
2.20
----------------------------------------
3.50
4.00
3.30
t(f,HV)
0.90
0.90
0.90
0.90
0.90
0.90
0.90
0.90
P(HV)
1
1
0
0
0
t(f)
2.2
2.2
3.5
4.0
3.3
Worksheet 5-Effect of Upstream Signals
----------------------------------------------------------------------------
Computation 1-Queue Clearance Time at Upstream Signal
Movement 2 Movement 5
V(t) V(l,prot) V(t) V(l,prot)
V prog
Total Saturation Flow Rate, s (vph)
Arrival Type
Effective Green, g (sec)
Cycle Length, C (sec)
Rp (from Exhibit 16-11)
Proportion vehicles arriving on green P
g (ql)
g (q2)
g (q)
Computation 2-Proportion of TWSC Intersection Time blocked
Movement 2 Movement 5
V(t) V(l,prot) V(t) V(l,prot)
alpha
beta
Travel time, t (a) (sec)
Smoothing Factor, F
Proportion of conflicting flow, f
Max platooned flow, V(c,max)
Min platooned flow, V(c,min)
Duration of blocked period, t(p)
Proportion time blocked, p 0.000 0.000
--------------------------------------------------------------------------------
Computation 3--Platoon Event Periods Result
- - _—_-_--------------------------
p(2) 0.000
p (5 ) 0.000
p(dom)
p(subo)
Constrained or unconstrained?
Proportion
unblocked (1) (2) (3)
for minor Single -stage Two -Stage Process
movements, p(x) Process Stage I Stage II
p(1)
p(4)
p(7)
p(8)
p(9)
p(10)
P(11)
p(12)
------------------------------- ------------------------------------
Computation 4 and 5
Single --Stage Process
Movement 1 4 7 8 9 10 11 12
L L L T R L T R
V c,x 440 423 991 991 432
s
Px
V c, u, x
--------- --------------------------------- -------------------- -----------
C r, x
C plat,x
Two -Stage Process
7 8 10 11
Stagel Stage2 Stagel Stage2 Stagel Stage2 Stagel Stage2
V(c,x)
s
P M
V (c, U, x )
C(r,x)
C (plat, x)
Worksheet 6-Impedance and Capacity Equations
1500
Step 1: RT from Minor St. 9 12
Conflicting Flows 432
Potential Capacity 620
Pedestrian Impedance Factor 1.00 1.00
Movement Capacity 620
Probability of Queue free St. 1.00 0.71
1500
Step 2: LT from Major St.
4
1
----------------------------------------------------------------------------
Conflicting Flows
423
440
Potential Capacity
1142
1125
Pedestrian Impedance Factor
1.00
1.00
Movement Capacity
1142
1125
Probability of Queue free St.
1.00
0.94
Mai L-Shared Prob Q free St.
1.00
0.92
Step 3: TH from Minor
----------------------------
St.
8
11
-----------
Conflicting Flows
--------------------
991
Potential Capacity
235
Pedestrian Impedance
Factor
1.00
1.00
Cap. Adj. factor due
to Impeding mvmnt
0.92
0.92
Movement Capacity
216
Probability of Queue
free St.
1.00
1.00
-------------------------------------------------------------------------------
Step 4: LT from Minor
St.
7
10
Conflicting Flows 991
Potential Capacity 260
Pedestrian Impedance Factor 1.00 1.00
Maj. L,.Min T Impedance factor 0.92
Maj. L, Min T Adj. Imp Factor. 0.94
Cap. Adj. factor due to Impeding mvmnt 0.67 0.94
Movement Capacity 244
Worksheet 7-Computation of the Effect of Two -stage Gap Acceptance
Step 3: TH from Minor St. 8 11
Part 1 -- First Stage
Conflicting Flows
Potential Capacity
Pedestrian Impedance Factor
Cap. Adj. factor due to Impeding mvmnt
Movement Capacity
Probability of Queue free St.
Part 2 -- Second Stage
Conflicting Flows
Potential Capacity
Pedestrian Impedance Factor
Cap. Adj. factor due to Impeding mvmnt
Movement Capacity
Part 3 - Single Stage
Conflicting Flows 991
Potential Capacity 235
Pedestrian Impedance Factor 1.00 1.00
Cap. Adj. factor due to Impeding mvmnt 0.92 0.92
Movement Capacity 216
----_--_------------------------- -------------
Result for 2 stage process:
a
y
C t 216
Probability of Queue free St. 1.00 1.00
Step 4: LT from Minor St.
Part 1 -- First Stage
Conflicting Flows
Potential Capacity
Pedestrian Impedance Factor
Cap. Adj. factor due to Impeding mvmnt
Movement Capacity
Part 2 - Second Stage
Conflicting Flows
Potential Capacity
Pedestrian Impedance Factor
Cap. Adj. factor due to Impeding mvmnt
Movement Capacity
Part 3 - Single Stage
Conflicting Flows
Potential Capacity
Pedestrian Impedance Factor
Maj. L, Min T Impedance factor
Maj. L, Min T Adj. Imp Factor.
Cap. Adj. factor due to Impeding mvmnt
Movement Capacity
Results for Two -stage process:
a
y
C t
Worksheet 8-Shared Lane Calculations
Movement
Volume (vph)
Movement Capacity (vph)
Shared Lane Capacity (vph)
i
10
991
260
1.00
1.00
0.92
0.94
0.67
0.94
244
244
7 8 9 10 11 12
L T R L T R
25 0 179
244 216 620
522
Worksheet 9-Computation of Effect of Flared Minor Street Approaches
Movement
7 8 9 10
11
12
L T R L
T
R
-----------------------
C Sep
----- -----------------------------------------
244
216
—
620
Volume
25
0
179
Delay
Q sep
Q sep +1
round (Qsep +1)
-------------------------------------
n max
-------------------- ----------------------=
C sh
522
SUM C sep
n
C act
Worksheet 10-Delay, Queue Length, and Level of Service
Movement
Lane Config
1
LTR
4 7
LTR
8 9 10 11 12
LTR
---------------------------------------------------------------------------.---
v (vph)
68
0
204
C(m) (vph)
1125
1142
522
v/c
0.06
0.00
0.39
95% queue length
0.19
0.00
1.84
Control Delay
8.4
8.2
16.3
LOS
A
A
C
Approach Delay
16.3
Approach LOS
C
Worksheet 11-Shared Major LT Impedance and Delay
Movement 2 Movement 5
p(oj)
0.94
1.00
v(il), Volume for
stream 2 or 5
423
424
v(i2), Volume for
stream 3 or 6
0
16
s(il), Saturation
flow rate for stream 2 or 5
1700
1700
s(i2), Saturation
flow rate for stream 3 or 6
1700
1700
P*(oj)
0.92
1.00
d(M,LT), Delay for
stream 1 or 4
8.4
8.2
N, Number of major
street through lanes
1
1
d(rank,l) Delay for
stream 2 or 5
0.7
0.0
HCS+: Unsignalized Intersections Release 5.6
Phone: Fax:
E-Mail:
ALL -WAY STOP CONTROL(AWSC) ANALYSIS
Analyst: TMW
Agency/Co.: COK
Date Performed: 2/13/2012
Analysis Time Period: 7:30 - 8:30 AM
Intersection: MERCENEA
Jurisdiction: FLATHEAD CO
Units: U. S. Customary
Analysis Year: 2012
Project ID: 12-002 EXISTING CONDITIONS
East/West Street: CENTER
North/South Street: MERIDIAN
---- _—Worksheet 2 - Volume Adjustments and Site Characteristics______
I Eastbound I Westbound I Northbound I Southbound
I L T R I L T R I L T R I L T R
Volume 16 2 2 124 7 244 17 229 30 1248 237 12
% Thrus Left Lane
Eastbound
Ll L2
Configuration
LTR
PHF
0.60
Flow Rate
15
% Heavy Veh
0
No. Lanes
l
Opposing -Lanes
2
Conflicting -lanes
1
Geometry group
4a
Duration, T 0.25
hrs.
Westbound
Northbound
Southbound
Ll
L2
L1
L2
L1
L2
LT
R
LTR
LTR
0.83
0.83
0.80
0.87
36
293
331
570
0
1
1
1
2
1
1
1
1
1
1
2
2
5
2
2
Worksheet 3 - Saturation Headway Adjustment Worksheet
Eastbound
L1 L2
Flow Rates:
Total in Lane 15
Left -Turn 9
Right -Turn 3
Prop. Left -Turns 0.6
Prop. Right -Turns 0.2
Prop. Heavy Vehicle0.0
Geometry Group 4a
Adjustments Exhibit 17-33:
hLT-adj 0.2
Westbound
Northbound
Southbound
L1
L2
Ll L2
Ll L2
36
293
331
570
28
0
8
285
0
293
37
13
0.8
0.0
0.0
0.5
0.0
1.0
0.1
0.0
0.0
0.0
0.0
0.0
5
2
2
0.5
0.2
0.2
hRT-adj
-0.6
-0.7
-0.6
-0.6
hHV-adj
1.7
1.7
1.7
1.7
hadj, computed
0.0
0.4
-0.7
-0.0
0.1
__Worksheet 4 -
Departure
Headway and
Service Time
Eastbound
Westbound
Northbound
Southbound
L1 L2
Ll
L2
L1 L2
L1
L2
Flow rate
15
36
293
331
570
hd, initial value
3.20 3.20
3.20
3.20
3.20 3.20
3.20
3.20
x, initial
0.01
0.03
0.26
0.29
0.51
hd, final value
7.59
7.45
6.35
5.95
5.70
x, final value
0.03
0.07
0.52
0.55
0.90
Move -up time, m
2.0
2.3
2.0
2.0
Service Time
5.6
5.1
4.1
4.0
3.7
---------------Worksheet 5 -
Capacity
and Level
of Service_
Westbound
Northbound
Southbound
L1 L2
L1
L2
L1 L2
L1
L2
Flow Rate
15
36
293
331
570
Service Time
5.6
5.1
4.1
4.0
3.7
Utilization, x
0.03
0.07
0.52
0.55
0.90
Dep. headway, hd
7.59
7.45
6.35
5.95
5.70
Capacity
265
286
541
580
627
Delay
10.83
10.75
15.65
15.90
39.73
LOS
B
B
C
C
E
Approach:
Delay
10.83
15.11
15.90
39.73
LOS
B
C
C
E
Intersection Delay
26.54
Intersection
LOS D
HCS+: Unsignalized Intersections Release 5.6
Phone: Fax:
E-Mail,
ALL -WAY STOP CONTROL(AWSC) ANALYSIS
Analyst: TMW
Agency/Co.: COK
Date Performed: 2/13/2012
Analysis Time Period: 7:30 - 8:30 AM
Intersection: MER2NDEA
Jurisdiction: FLATHEAD CO
Units: U. S. Customary
Analysis Year: 2012
Project ID: 12-002 EXISTING CONDITIONS
East/West Street: 2ND
North/South Street: MERIDIAN
_________Worksheet 2 - Volume Adjustments and Site Characteristics
Eastbound I Westbound I Northbound I Southbound
I L T R I L T R I L T R I L T R
Volume 114 10 1 124 1 44 12 206 74 170 169 4
% Thrus Left Lane
Eastbound
Westbound
Northbound
L1 L2
L1 L2
L1 L2
Configuration
LTR
LTR
LTR
PHF
0.66
0.64
0.87
Flow Rate
37
106
323
% Heavy Veh
0
0
1
No. Lanes
1
1
1
Opposing -Lanes
1
1
1
Conflicting -lanes
1
1
1
Geometry group
1
1
1
Duration, T 0.25
hrs.
___________Worksheet 3 - Saturation Headway
Adjustment Worksheet
Eastbound
Westbound
Northbound
L1 L2
Ll L2
Ll L2
Flow Rates:
Total in Lane 37
Left -Turn 21
Right -Turn 1
Prop. Left -Turns 0.6
Prop. Right -Turns 0.0
Prop. Heavy Vehicle0.0
Geometry Group 1
Adjustments Exhibit 17-33:
hLT-adj 0.2
Southbound
L1 L2
LTR
0.88
275
1
1
1
1
1
Southbound
L1 L2
106
323
275
37
2
79
68
85
4
0.3
0.0
0.3
0.6
0.3
0.0
0.0
0.0
0.0
1
1
1
0.2
0.2
0.2
hRT-adj
-0.6
-0.6
-0.6
hHV-adj
1.7
1.7
1.7
hadj, computed
0.1
-0.3
-0.1
Worksheet 4 - Departure Headway and
Service Time
Eastbound
Westbound
Northbound
Ll L2
Ll L2
L1 L2
Flow rate
37
106
323
hd, initial value
3.20 3.20
3.20 3.20
3.20 3.20
x, initial
0.03
0.09
0.29
hd, final value
5.58
5.04
4.49
x, final value
0.06
0.15
0.40
Move -up time, m
2.0
2.0
2.0
Service Time
3.6
3.0
2.5
--------------- Worksheet 5 - Capacity
and Level
of Service -----
Eastbound
Westbound
Northbound
Ll L2
L1 L2
Ll L2
Flow Rate
37
106
323
Service Time
3.6
3.0
2.5
Utilization, x
0.06
0.15
0.40
Dep. headway, hd
5.58
5.04
4.49
Capacity
287
356
573
Delay
8.92
8.92
10.48
LOS
A
A
B
Approach:
Delay
8.92
8.92
10.48
LOS
A
A
B
Intersection Delay
10.14
Intersection
LOS B
-0.6
1.7
0.1
Southbound
L1 L2
275
3.20 3.20
0.24
4.73
0.36
2.0
2.7
Southbound
L1 L2
275
2.7
0.36
4.73
525
10.38
B
10.38
B
HCS+: Unsignalized Intersections Release 5.6
TWO-WAY STOP CONTROL SUMMARY
Analyst: TMW
Agency/Co.: COK
Date Performed: 2/13/2012
Analysis Time Period: 7:45 TO 8:45 AM
Intersection: MERAPPEA-1
Jurisdiction: FLATHEAD CO
Units: U. S. Customary
Analysis Year: 2012
Project ID: 12-002 EXISTING CONDITIONS W/ NORTHBOUND LTL
East/West Street: APPLEWAY DRIVE
North/South Street: MERIDIAN
Intersection Orientation: NS Study period (hrs): 0.25
--------�--------- ___Vehicle Volumes and Adjustments
——-- -----------------
Major Street: Approach Northbound Southbound
Movement 1 2 3 1 4 5 6
L T R I L T R
Volume
62
385 0
0
331 13
Peak -Hour Factor, PHF
0.91
0.91 0.91
0.78
0.78 0.78
Hourly Flow Rate, HFR
68
423 0
0
424 16
Percent Heavy Vehicles
1
-- --
1
-- --
Median Type/Storage's
TWLTL
/ 2
RT Channelized?
Lanes
1
1 0
0
1 0
Configuration
L
TR
LTR
Upstream Signal?
No
No
Minor Street: Approach Westbound Eastbound
Movement 7 8 9 1 10 11 12
L T R I L T R
Volume
Peak Hour Factor, PHF
Hourly Flow Rate, HFR
Percent Heavy Vehicles
Percent Grade M 0
Flared Approach: Exists?/Storage
Lanes
Configuration
Approach
Movement
Lane Config
19 0 133
0.74 0.74 0.74
25 0 179
0 0 0
1
/ No /
0 1 0
LTR
Delay, Queue Length, and Level of Service_________
NB SB Westbound Eastbound
1 4 7 8 9 1 10 11
L LTR I LTR
12
v (vph)
68
0
204
C(m) (vph)
1125
1142
590
v/c
0.06
0.00
0.35
95% queue length
0.19
0.00
1.54
Control Delay
8.4
8.2
14.3
LOS
A
A
B
Approach Delay
14.3
Approach LOS
B
HCS+: Unsignalized Intersections Release 5.6
Phone: Fax:
E-Mail.
TWO-WAY STOP CONTROL(TWSC) ANALYSIS
Analyst: TMW
Agency/Co.: COK
Date Performed: 2/13/2012
Analysis Time Period: 7:45 TO 8:45 AM
Intersection: MERAPPEA-1
Jurisdiction: FLATHEAD CO
Units: U. S. Customary
Analysis Year: 2012
Project ID: 12-002 EXISTING CONDITIONS W/ NORTHBOUND LTL
East/West Street: APPLEWAY DRIVE
North/South Street: MERIDIAN
Intersection Orientation: NS Study period (hrs): 0.25
__Vehicle Volumes and Adjustments__ ------
Major Street Movements 1 2 3 4 56
L T R L T R
Volume
62
385
0
0
331
13
Peak -Hour Factor, PHF
0.91
0.91
0.91
0.78
0.78
0.78
Peak-15 Minute Volume
17
106
0
0
106
4
Hourly Flow Rate, HFR
68
423
0
0
424
16
Percent Heavy Vehicles
1
--
--
1
--
--
Median Type/Storage
TWLTL
/ 2
RT Channelized?
Lanes
1
1 0
0
1
0
Configuration
L
TR
LTR
Upstream Signal?
No
No
Minor Street Movements 7 8
L T
9 10
R L
11
T
12
R
------------------------------------------------------------------------------
Volume
19
0
133
Peak Hour Factor, PHF
0.74
0.74
0.74
Peak-15 Minute Volume
6
0
45
Hourly Flow Rate, HFR
25
0
179
Percent Heavy Vehicles
0
0
0
Percent Grade M 0
1
Flared Approach: Exists?/Storage
/
No /
RT Channelized?
Lanes
0
1
0
Configuration
LTR
__Pedestrian Volumes and Adjustments
Movements 13 14 15 16
--------- -----------------------------------
Flow (ped/hr) 0 0 0 0
Lane Width (ft)
12.0
12.0
12.0
12.0
Walking Speed (ft/sec)
4.0
4.0
4.0
4.0
Percent Blockage
0
0
0
0
__Upstream Signal Data
------------------- ------------------------
Prog. Sat Arrival Green Cycle Prog. Distance
Flow Flow Type Time Length Speed to Signal
vph vph sec sec mph feet
S2 Left -Turn
Through
S5 Left -Turn
Through
Worksheet 3-Data for Computing Effect of Delay to Major Street Vehicles
--------------------- ------------------------------------- ----------------
Movement 2 Movement 5
Shared In
volume, major
th vehicles:
424
Shared In
volume, major
rt vehicles:
16
Sat flow
rate, major th
vehicles:
1700
Sat flow
rate, major rt
vehicles:
1700
Number of
major street
through lanes:
1
Worksheet 4-Critical Gap and Follow-up Time Calculation
-------------------------------------------------------------------------------
Critical Gap Calculation
Movement
1
4
7
8
9
10
11
12
L
L
L
T
R
L
T
R
t(c,base)
4.1
4.1
7.1
6.5
6.2
t(c,hv)
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
P (hv)
1
1
0
0
0
t(c,g)
0.20
0.20
0.10
0.20
0.20
0.10
Percent Grade
0.00
0.00
0.00
1.00
1.00
1.00
t(3,lt)
0.00
0.00
0.70
0.00
0.00
t(c,T):
1-stage
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
2-stage
0.00
0.00
1.00
1.00
0.00
1.00
1.00
0.00
t(c)
1-stage
4.1
4.1
6.6
6.7
6.3
2-stage
4.1
4.1
5.6
5.7
6.3
-----------------------
--------
Follow-Up
Time Calculations
------------------------------------
Movement
1
4
7
8
9
10
11
12
L
L
L
T
R
L
T
R
t(f,base)
t(f,HV)
P(HV)
t(f)
2.20
2.20
0.90
0.90 0.90
1
1
2.2
2.2
3.50
0.90 0.90 0.90
0
3.5
4.00
3.30
0.90
0.90
0
0
4.0
3.3
Worksheet 5-Effect of Upstream Signals
-----------------------.-- ---------------__.------------------
Computation 1-Queue Clearance Time at Upstream Signal
Movement 2 Movement 5
V(t) V(l,prot) V(t) V(l,prot)
V prog
Total Saturation Flow Rate, s (vph)
Arrival Type
Effective Green, g (sec)
Cycle Length, C (sec)
Rp (from Exhibit 16-11)
Proportion vehicles arriving on green P
g(ql)
g(q2)
g (q)
------------------- ---------------------------- ------------------------------
Computation 2-Proportion of TWSC Intersection Time blocked
Movement 2 Movement 5
V(t) V(l,prot) V(t) V(l,prot)
alpha
beta
Travel time, t(a) (sec)
Smoothing Factor, F
Proportion of conflicting flow, f
Max platooned flow, V(c,max)
Min platooned flow, V(c,min)
Duration of blocked period, t(p)
Proportion time blocked, p
0.000
0.000
--------------------------------------------------------------------
Computation 3-Platoon Event Periods
Result
------
------------- -------------------- ---------.--_--.--------------------------------
p(2)
0.000
P(5)
0.000
p (dom)
p(subo)
Constrained or unconstrained?
------------------------------------------------------------------------------
Proportion
unblocked (1)
(2)
(3)
for minor Single -stage
Two -Stage
Process
movements, p(x) Process
Stage I
Stage II
--------------------------
---- _--------------
p(1)
-------------------------------
p(4)
p(7)
P(8)
P(9)
P(10)
P(11)
p(12)
------------------------------------
Computation 4 and 5
--------------------------------------
Single --Stage Process
Movement 1 4
7 8 9
10 11 12
L L
L T R
L T R
V c,x 440 423 991 991 432
s
Px
V c, u, x
--------------------------------- ------------ --------------------------- -----
C r, x
C plat,x
-------------------------------- — --- --------------------------
Two-Stage Process
7 8 10 11
Stagel Stage2 Stagel Stage2 Stagel Stage2 Stagel Stage2
V(c,x) 432 559 432 559
s 1500 1500
P (x)
V(c,u,x)
- -----------
C(r,x)
-----------------------
C (plat, x)
Worksheet 6-Impedance and Capacity Equations
----------------------------
__-------------------------------------------
Step 1: RT from Minor St.
-----------------------------------
9
12
_-----------------------------------
Conflicting Flows
-------
432
Potential Capacity
620
Pedestrian Impedance Factor
1.00
1.00
Movement Capacity
620
Probability of Queue free St.
-----------------------------------------------------------------------
1.00
0.71
Step 2: LT from Major St.
------------------------------------------------------------------------------
4
1
Conflicting Flows
423
440
Potential Capacity
1142
1125
Pedestrian Impedance Factor
1.00
1.00
Movement Capacity
1142
1125
Probability of Queue free St.
1.00
0.94
Maj L-Shared Prob Q free St.
-------------------------------------------------
1.00
Step 3: TH from Minor St.
--------------------------------------------------------------------------------
---------
8
11
Conflicting Flows
991
Potential Capacity
235
Pedestrian Impedance Factor
1.00
1.00
Cap. Adj. factor due to Impeding mvmnt
0.94
0.94
Movement Capacity
221
Probability of Queue free St.
-----------------------------------------------------------------------------------
1.00
1.00
Step 4: LT from Minor St.
----------------------------------------------
7
10
Conflicting Flows
---------
991
Potential Capacity
260
Pedestrian Impedance Factor
1.00
1.00
Maj. L, Min T Impedance factor
0.94
Maj. L, Min T Adj. Imp Factor.
0.95
Cap. Adj. factor due to Impeding mvmnt
0.68
0.94
Movement Capacity
---------- —_----------------------------------
244
-----------------------------
Worksheet 7-Computation of the Effect of Two -stage Gap
Acceptance
Step 3: TH from Minor St.
Part 1 - First Stage
Conflicting Flows
Potential Capacity
Pedestrian Impedance Factor
Cap. Adj. factor due to Impeding mvmnt
Movement Capacity
Probability of Queue free St.
8
11
432
514
572
1.00
1.00
0.94
1.00.
483
572
1.00
1.00
Part 2 - Second Stage
Conflicting Flows
559
Potential Capacity
581
499
Pedestrian Impedance Factor
1.00
1.00
Cap. Adj. factor due to Impeding
mvmnt
1.00
0.94
Movement Capacity
581
469
-------------------------
Part 3 - Single Stage
-------------------------------
Conflicting Flows
991
Potential Capacity
235
Pedestrian Impedance Factor
1.00
1.00
Cap. Adj. factor due to Impeding
mvmnt
0.94
0.94
Movement Capacity
221
---------------------------------------
Result for 2 stage process:
—__---------
-------------------------
a
0.95
0.95
y
C t
221
Probability of Queue free St.
1.00
1.00
------------------------ ---------
Step 4: LT from Minor St.
_-----------------------------------------
7
10
--------------------------------------------------------------
Part 1 - First Stage
Conflicting Flows
432
Potential Capacity
576
643
Pedestrian Impedance Factor
1.00
1.00
Cap. Adj. factor due to Impeding
mvmnt
0.94
1.00
Movement Capacity
541
643
------------------------------------------------------------------------------
Part 2 - Second Stage
Conflicting Flows
559
Potential Capacity
599
559
Pedestrian Impedance Factor
1.00
1.00
Cap. Adj. factor due to Impeding
mvmnt
0.71
0.94
Movement Capacity
426
525
-----------------------------------------------------------------------------
Part 3 - Single Stage
Conflicting Flows
991
Potential Capacity
260
Pedestrian Impedance Factor
1.00
1.00
Maj. L, Min T Impedance factor
0.94
Maj. L, Min T Adj. Imp Factor.
0.95
Cap. Adj. factor due to Impeding
mvmnt
0.68
0.94
Movement Capacity
244
---------- -------------------------------------------_----------------------
Results for Two -stage process:
a
0.95
0.95
y
1.42
C t
438
---- ---------------------------------------------
Worksheet 8-Shared Lane Calculations
----------------------------
----------------- -------___----------_-------------------��----------------
Movement
7
8 9
10
11
12
L
T R
L
T
R
-----------------------------------------------------------------------------
Volume (vph)
25
0
179
Movement Capacity (vph)
438
221
620
Shared Lane Capacity (vph)
590
Worksheet 9-Computation of Effect of Flared Minor Street Approaches
Movement
7 8 9 10
L T R L
11
T
12
R
C sep
438
221
620
Volume
25
0
179
Delay
Q sep
Q sep fl
round (Qsep f1)
---- ------------------- --------------------------
n max
----------------------------
C sh
590
SUM C sep
n
C act
Worksheet 10-Delay, Queue Length, and Level of Service
Movement
Lane Config
1
L
4 7 8
LTR
9 10 11 12
LTR
------- ------------------
v (vph)
68
-----------------------------------------------------
0
204
C(m) (vph)
1125
1142
590
v/c
0.06
0.00
0.35
95% queue length
0.19
0.00
1.54
Control Delay
8.4
8.2
14.3
LOS
A
A
B
Approach Delay
14.3
Approach LOS
B
Worksheet 11-Shared Major LT Impedance and Delay
Movement 2 Movement 5
p(oj)
0.94
1.00
v(il), Volume for
stream 2
or 5
424
v(i2), Volume for
stream 3
or 6
16
s(il), Saturation
flow rate
for stream 2 or 5
1700
s(i2), Saturation
flow rate
for stream 3 or 6
1700
P*(oj)
1.00
d(M,LT), Delay for
stream 1
or 4 8.4
8.2
N, Number of major
street through
lanes
1
d(rank,l) Delay for
stream
2 or 5
0.0
HCS+: Unsignalized Intersections Release 5.6
Phone: Fax:
E-Mail:
ALL -WAY STOP CONTROL(AWSC) ANALYSIS
Analyst: TMW
Agency/Co.: COK
Date Performed: 2/13/2012
Analysis Time Period: 7:30 - 8:30 AM
Intersection: MERCENEA-1
Jurisdiction: FLATHEAD CO
Units: U. S. Customary
Analysis Year: 2012
Project ID: 12-002 EXISTING CONDITIONS W/ SOUTHBOUND LTL
East/West Street: CENTER
North/South Street: MERIDIAN
Worksheet 2 - Volume Adjustments and Site Characteristics
Eastbound I Westbound I Northbound I Southbound
L T R I L T R I L T R I L T R
I I I I
---------------------------------------------------------
Volume 16 2 2 124 7 244 17 229 30 1248 237 12
% Thrus Left Lane
Eastbound
Westbound
Northbound
Southbound
L1 L2
L1
L2
L1 L2
L1
L2
Configuration
LTR
LT
R
LTR
L
TR
PHF
0.60
0.83
0.83
0.80
0.87
1.00
Flow Rate
15
36
293
331
285
249
% Heavy Veh
0
0
1
1
1
0
No. Lanes
1
2
1
2
Opposing --Lanes
2
1
2
1
Conflicting -lanes
2
2
2
2
Geometry group
4b
5
4b
5
Duration, T 0.25
hrs.
__Worksheet
3 - Saturation Headway Adjustment
Worksheet
Eastbound
Westbound
Northbound
Southbound
L1 L2
L1
L2
L1 L2
Ll
L2
Flow Rates:
Total in Lane
15
36
293
331
285
249
Left -Turn
9
28
0
8
285
0
Right -Turn
3
0
293
37
0
12
Prop. Left -Turns
0.6
0.8
0.0
0.0
1.0
0.0
Prop. Right -Turns
0.2
0.0
1.0
0.1
0.0
0.0
Prop. Heavy Vehicle0.0
0.0
0.0
0.0
0.0
0.0
Geometry Group
4b
5
4b
5
Adjustments Exhibit
17-33:
hLT-adj
0.2
0.5
0.2
0.5
hRT-adj
-0.6
-0.7
-0.6
hHV-adj
1.7
1.7
1.7
hadj, computed
0.0
0.4
-0.7
-0.0
---- ----------- Worksheet 4 -
Departure
Headway
and Service Time
Eastbound
Westbound
Northbound
L1 L2
L1
L2
L1 L2
Flow rate
15
36
293
331
hd, initial value
3.20 3.20
3.20
3.20
3.20 3.20
x, initial
0.01
0.03
0.26
0.29
hd, final value
7.67
7.26
6.17
6.30
x, final value
0.03
0.07
0.50
0.58
Move -up time, m
2.3
2.3
2.3
Service Time
5.4
5.0
3.9
4.0
____-Worksheet 5 -
Capacity
and Level
of Service
Eastbound
Westbound
Northbound
Ll L2
Ll
L2
Ll L2
Flow Rate
15
36
293
331,
Service Time
5.4
5.0
3.9
4.0
Utilization, x
0.03
0.07
0.50
0.58
Dep. headway, hd
7.67
7.26
6.17
6.30
Capacity
265
286
543
557
Delay
10.62
10.52
14.93
17.30
LOS
B
B
B
C
Approach:
Delay
10.62
14.45
17.30
LOS
B
B
C
Intersection Delay
15.42
Intersection
LOS C
-0.7
1.7
0.5 -0.0
Southbound
Ll
L2
285
249
3.20
3.20
0.25
0.22
6.67
6.11
0.53
0.42
2.3
4.4
3.8
Southbound
L1 L2
285 249
4.4 3.8
0.53 0.42
6.67 6.1'1
529 499
16.57 13.20
C B
15.00-
B
HCS+: Unsignalized Intersections Release 5.6
TWO-WAY STOP CONTROL SUMMARY
Analyst:
Agency/Co.: COK
Date Performed: 2/13/2012
Analysis Time Period: 4:30 TO 5:30 PM
Intersection: MERAPPEP
Jurisdiction: FLATHEAD CO
Units: U. S. Customary
Analysis Year: 2012
Project ID: 12-002 EXISTING CONDITIONS
East/West Street: APPLEWAY
North/South Street: MERIDIAN
Intersection Orientation: NS Study period (hrs):
__Vehicle Volumes and Adjustments____________
Major Street: Approach Northbound Southbound
Movement 1 2 3 1 4 5 6
L T R I L T R
0.25
Volume
105 483
0
0
481
56
Peak -Hour Factor, PHF
0.86 0.86
1.00
1.00 0.91
1.00
Hourly Flow Rate, HFR
122 561
0
0
528
56
Percent Heavy Vehicles
1 --
--
1
--
--
Median Type/Storage
Undivided
/
RT Channelized?
Lanes
0 1 0
0 1 0
Configuration
LTR
LTR
Upstream Signal?
No
No
--------- --------------------------
Minor Street: Approach
Westbound
----------------------------------
Eastbound
Movement
7 8
9
10
11
12
L T
R
I L
T
R
Volume
30
0
81
Peak Hour Factor, PHF
0.71
1.00
0.71
Hourly Flow Rate, HER
42
0
114
Percent Heavy Vehicles
0
0
0
Percent Grade M 0
1
Flared Approach: Exists?/Storage
/
No /
Lanes
0
1
0
Configuration
LTR
------------------Delay, Queue Length, and Level of Service_______
Approach NB SB Westbound Eastbound
Movement 1 4 1 7 8 9 1 10 11 12
Lane Config LTR LTR I LTR
v (vph)
122
0
156
C(m) (vph)
996
1015
294
v/c
0.12
0.00
0.53
95% queue length
0.42
0.00
2.90
Control Delay
9.1
8.5
30.3
LOS
A
A
D
Approach Delay
30.3
Approach LOS
D
HCS+: Unsignalized Intersections Release 5.6
Phone: Fax:
E-Mail.
TWO-WAY STOP CONTROL(TWSC) ANALYSIS
Analyst:
Agency/Co.: COK
Date Performed: 2/13/2012
Analysis Time Period: 4:30 TO 5:30 PM
Intersection: MERAPPEP
Jurisdiction: FLATHEAD CO
Units: U. S. Customary
Analysis Year: 2012
Project ID: 12-002 EXISTING CONDITIONS
East/West Street: APPLEWAY
North/South Street: MERIDIAN
Intersection Orientation: NS Study period (hrs): 0.25
Vehicle Volumes and Adjustments
Major Street Movements 1 2 3 4 5 6
L T R L T R
------------------------------
Volume
105
483
0.
0
481
---------
56
Peak -Hour Factor, PHF
0.86
0.86
1.00
1.00
0.91
1.00
Peak-15 Minute Volume
31
140
0
0
132
14
Hourly Flow Rate, HFR
122
561
0
0
528
56
Percent Heavy Vehicles
1
--
--
1
--
--
Median Type/Storage
Undivided
/
RT Channelized?
Lanes
0
1 0
0
1
0
Configuration
LTR
LTR
Upstream Signal?
No
No
_-_------------------------
Minor Street Movements
--------------
7
8
------
9
-------
10
----------------------
11
12
L
T
R
L
T
R
------------------------------------------------------------------------------
Volume
30
0
81
Peak Hour Factor, PHF
0.71
1.00
0.71
Peak-15 Minute Volume
11
0
29
Hourly Flow Rate, HFR
42
0
114
Percent Heavy Vehicles
0
0
0
Percent Grade (%)
0
1
Flared Approach: Exists?/Storage
/
No /
RT Channelized?
Lanes
0
1
0
Configuration
LTR
Pedestrian
Volumes
and
Adjustments
--------------------
Movements
13
14
15
16
----------------------
Flow (ped/hr) 0 0 0 0
Lane Width (ft)
Walking Speed (ft/sec)
Percent Blockage
Prog.
Flow
vph
S2 Left -Turn
Through
S5 Left -Turn
Through
12.0 12.0 12.0 12.0
4.0 4.0 4.0 4.0
0 0 0 0
-----------------------------------
Upstream Signal Data
----------------
Sat Arrival Green Cycle Prog.
Flow Type Time Length Speed
vph sec sec mph
Distance
to Signal
feet
Worksheet 3-Data for Computing Effect of Delay to Major Street Vehicles
------------------------------------------------------------------------------
Movement 2 Movement 5
Shared In
volume, major
th vehicles:
561
528
Shared In
volume, major
rt vehicles:
0
56
Sat flow
rate, major th
vehicles:
1700
1700
Sat flow
rate, major rt
vehicles:
1700
1700
Number of
major street
through lanes:
1
1
Worksheet 4-Critical Gap and Follow-up Time Calculation
Critical
Movement
Gap Calculation
1
L
4
L
7
L
8
T
9
R
10
L
11
T
12
R
---- -------------------------
t(c,base)
4.1
4.1
----------
----------
---------------------------
7.1
6.5
6.2
t(c,hv)
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
P (hv)
1
1
0
0
0
t(c,g)
0.20
0.20
0.10
0.20
0.20
0.10
Percent Grade
0.00
0.00
0.00
1.00
1.00
1.00
t(3,lt)
0.00
0.00
0.70
0.00
0.00
t(c,T):
1-stage
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
2-stage
0.00
0.00
1.00
1.00
0.00
1.00
1.00
0.00
t(c)
1-stage
4.1
4.1
6.6
6.7
6.3
2-stage
--------- --------------------------------------------------------------------
Follow-Up Time Calculations
Movement 1 4 7 8 9 10 11 12
L L L T R L T R
t(f,base)
2.20
2.20
3.50
4.00
3.30
t(f,HV)
0.90
0.90 0.90 0.90
0.90 0.90
0.90
0.90
P(HV)
1
1
0
0
0
t(f)
2.2
2.2
3.5
4.0
3.3
Worksheet 5-Effect of Upstream Signals
Computation 1-Queue Clearance Time at Upstream Signal
Movement 2 Movement 5
V(t) V(l,prot) V(t) V(l,prot)
V prog
Total Saturation Flow Rate, s (vph)
Arrival Type
Effective Green, g (sec)
Cycle Length, C (sec)
Rp (from Exhibit 16-11)
Proportion vehicles arriving on green P
g(ql)
g(q2)
g(q)
------------- ---------------------------
Computation 2-Proportion of TWSC Intersection Time blocked
Movement 2 Movement 5
V(t) V(l,prot) V(t) V(l,prot)
alpha
beta
Travel time, t(a) (sec)
Smoothing Factor, F
Proportion of conflicting flow, f
Max platooned flow, V(c,max)
Min platooned flow, V(c,min)
Duration of blocked period, t(p)
Proportion time blocked, p 0.000 0.000
----------------------------------- ---------------------------------------
Computation 3-Platoon Event Periods Result
---- ----------------------------------------------------- ---------------------
p(2) 0.000
p(5) 0.000
p(dom)
p(subo)
Constrained or unconstrained?
------------------------------------------------------------------------------
Proportion
unblocked (1) (2) (3)
for minor Single -stage Two -Stage Process
movements, p(x) Process Stage I Stage II
--------- - --------------------------------------------------_-
Computation 4 and 5
Single -Stage Process
Movement 1 4 7 8 9 10 11 12
L L L T R L T R
--------- ------------------------------------------------------
V c,x 584 561 1361 1361 556
s
Px
V c, u, x
------------------- _ _-------------- -----------------------------------------
C r, x
C plat, x
---- -------- -------------------------- ------------------------------ ---
Two-Stage Process
7 8 10 11
Stagel Stage2 Stagel Stage2 Stagel Stage2 Stagel Stage2
V(c,x)
s
1500 1500
P(x)
V (c, u, x )
C(r,x) ----------------------------------------
C (plat, x)
------------------------------
Worksheet 6-Impedance and Capacity Equations
------------------
---------------------------------------------------------------------------
Step 1: RT from Minor St.
9
12
-------------------------------------- --------------------------
Conflicting Flows
556
Potential Capacity
526
Pedestrian Impedance Factor
1.00
1.00
Movement Capacity
526
Probability of Queue free St.
1.00
0.78
--------- ---------
Step 2: LT from Major St.
4
1
-------------------------------------------------------------------------------
Conflicting Flows
561
584
Potential Capacity
1015
996
Pedestrian Impedance Factor
1.00
1.00
Movement Capacity
1015
996
Probability of Queue free St.
1.00
0.88
Maj L--Shared Prob Q free St.
1.00
0.82
-- ---------------------------------------------
Step 3: TH from Minor St.
8
11
-----------------------------------------------------------------------------
Conflicting Flows
1361
Potential Capacity
139
Pedestrian Impedance Factor
1.00
1.00
Cap. Adj. factor due to Impeding mvmnt
0.82
0.82
Movement Capacity
114
Probability of Queue free St.
1.00
1.00
------------------------------------------------------------------------------
Step 4: LT from Minor St.
7
10
----------- ----------- ------------ --------------_.--------_-.---------------_
Conflicting Flows
1361
Potential Capacity
153
Pedestrian Impedance Factor
1.00
1.00
Maj. L, Min T Impedance factor
0.82
Maj. L, Min T Adj. Imp Factor.
0.86
Cap. Adj. factor due to Impeding mvmnt
0.67
0.88
Movement Capacity
134
Worksheet 7-Computation of the Effect of Two -stage
Gap
Acceptance
Step 3: TH from Minor St. 8 11
Part 1 - First Stage
Conflicting Flows
Potential Capacity
Pedestrian Impedance Factor
Cap. Adj. factor due to Impeding mvmnt
Movement Capacity
Probability of Queue free St.
Part 2 - Second Stage
Conflicting Flows
Potential Capacity
Pedestrian Impedance Factor
Cap. Adj. factor due to Impeding mvmnt
Movement Capacity
Part 3 - Single Stage
Conflicting Flows 1361
Potential Capacity 139
Pedestrian Impedance Factor 1.00 1.00
Cap. Adj. factor due to Impeding mvmnt 0.B2 0.82
Movement Capacity 114
Result for 2 stage process:
a
y
C t 114
Probability of Queue free St. 1.00 1.00
Step 4: LT from Minor St. 7 10
-------------------------------------
Part 1 - First Stage
Conflicting Flows
Potential Capacity
Pedestrian Impedance Factor
Cap. Adj. factor due to Impeding mvmnt
Movement Capacity
Part 2 - Second Stage
Conflicting Flows
Potential Capacity
Pedestrian Impedance Factor
Cap. Adj. factor due to Impeding mvmnt
Movement Capacity
Part 3 - Single Stage
Conflicting Flows
1361
Potential Capacity
153
Pedestrian Impedance Factor
1.00
1.00
Maj. L, Min T Impedance factor
0.82
Maj. L, Min T Adj. Imp Factor.
0.86
Cap. Adj. factor due to Impeding mvmnt
0.67
0.88
Movement Capacity
134
-----------------------------------------------------------------------------
Results for Two -stage process:
a
y
C t
134
Worksheet B-Shared Lane Calculations
-------------- --- ---------------------------
Movement 7 8 9 10 11 12
L T R L T R
Volume (vph) 42 0 114
Movement Capacity (vph) 134 114 526
Shared Lane Capacity (vph) 294
Worksheet 9-Computation of Effect of Flared Minor Street Approaches
Movement 7 8 9 10 11 12
L T R L T R
------------------- ---------------------------------------------- --
C sep 134 114 526
Volume 42 0 114
Delay
Q sep
Q sep +1
round (Qsep +1)
n max
C sh 294
SUM C sep
n
C act
Worksheet 10-Delay, Queue Length, and Level of Service
Movement
1
4 7
8 9 10 11 12
Lane Config
LTR
LTR
LTR
---- --------------------------------------------------------------
v (vph)
122
0
156
C(m) (vph)
996
1015
294
v/c
0.12
0.00
0.53
95% queue length
0.42
0.00
2.90
Control Delay
9.1
8.5
30.3
LOS
A
A
D
Approach Delay
30.3
Approach LOS
D
Worksheet 11--Shared Major LT Impedance and Delay
Movement 2 Movement 5
p(oj)
0.88
1.00
v(il), Volume for
stream 2 or 5
561
528
v(i2), Volume for
stream 3 or 6
0
56
s(il), Saturation
flow rate for stream 2 or 5
1700
1700
s(i2), Saturation
flow rate for stream 3 or 6
1700
1700
P*(oj)
0.82
1.00
d(M,LT), Delay for
stream 1 or 4
9.1
8.5
N, Number of major
street through lanes
1
1
d(rank,l) Delay for
stream 2 or 5
1.7
0.0
HCS+: Unsignalized Intersections Release 5.6
Phone: Fax:
E-Mail:
ALL -WAY STOP CONTROL(AWSC) ANALYSIS
Analyst: TMW
Agency/Co.: COK
Date Performed: 2/13/2012
Analysis Time Period: 4:30 TO 5:30 PM
Intersection: MERCENEP
Jurisdiction: FLATHEAD CO
Units: U. S. Customary
Analysis Year: 2012
Project ID: 12-002 EXISTING CONDITIONS
East/West Street: CENTER
North/South Street: MERIDIAN
------__-Worksheet 2 - Volume Adjustments and Site Characteristics
I Eastbound I
Westbound I
Northbound
I Southbound
L
T R I L
T R I
L T R
I L T R
I
Volume 112 6
I
I
6 282 10
I
4 136
248 30
1245 311 11
% Thrus Left Lane
Eastbound
Westbound
Northbound
Southbound
Ll L2
Ll L2
L1 L2
L1 L2
Configuration
LTR
LT R
LTR
LTR
PHF
0.6B
0.91 0.91
0.76
0.84
Flow Rate
30
45 309
365
674
% Heavy Veh
0
0 1
1
1
No. Lanes
1
2
1
1
Opposing -Lanes
2
1
1
1
Conflicting -lanes
1
1
2
2
Geometry group
4a
5
2
2
Duration, T 0.25
hrs.
----------- Worksheet 3 - Saturation Headway Adjustment
Worksheet
Eastbound
Westbound
Northbound
Southbound
L1 L2
Ll L2
Ll L2
L1 L2
Flow Rates:
Total in Lane 30
Left -Turn 17
Right -Turn 5
Prop. Left -Turns 0.6
Prop. Right -Turns 0.2
Prop. Heavy Vehicle0.0
Geometry Group 4a
Adjustments Exhibit 17-33:
hLT-adj 0.2
45
309
365
674
39
0
0
291
0
309
39
13
0.9
0.0
0.0
0.4
0.0
1.0
0.1
0.0
0.0
0.0
0.0
0.0
5
2
2
0.5
0.2
0.2
hRT-adj
-0.6
-0.7
-0.6
-0.6
hHV-adj
1.7
1.7
1.7
1.7
hadj, computed
0.0
0.4
-0.7
-0.0
0.1
Worksheet 4 -
Departure
Headway and
Service Time
Eastbound
Westbound
Northbound
Southbound
L1 L2
L1
L2
L1 L2
L1 L2
Flow rate
30
45
309
365
674
hd, initial value
3.20 3.20
3.20
3.20
3.20 3.20
3.20 3.20
x, initial
0.03
0.04
0.27
0.32
0.60
hd, final value
8.14
7.84
6.70
6.30
6.01
x, final value
0.07
0.10
0.57
0.64
1.13
Move -up time, m
2.0
2.3
2.0
2.0
Service Time
6.1
5.5
4.4
4.3
4.0
---------------Worksheet 5 -
Capacity
and Level
of Service __________^____
Eastbound
Westbound
Northbound
Southbound
L1 L2
L1
L2
L1 L2
L1 L2
Flow Rate
30
45
309
365
674
Service Time
6.1
5.5
4.4
4.3
4.0
Utilization, x
0.07
0.10
0.57
0.64
1.13
Dep. headway, hd
8.14
7.84
6.70
6.30
6.01
Capacity
280
295
527
561
674
Delay
11.73
11.39
18.05
19.77
99.31
LOS
B
B
C
C
F
Approach:
Delay
11.73
17.21
i9.77
99.31
LOS
B
C
C
F
Intersection Delay
56.64
Intersection
LOS F
HCS+: Unsignalized Intersections Release 5.6
Phone: Fax:
E-Mail:
ALL -WAY STOP CONTROL(AWSC) ANALYSIS
Analyst: TMW
Agency/Co.: COK
Date Performed: 2/13/2012
Analysis Time Period: 3:15 to 4:15 PM
Intersection: MER2NDEP
Jurisdiction: FLATHEAD CO
Units: U. S. Customary
Analysis Year: 2012
Project ID: 12-002 EXISTING CONDITIONS
East/West Street: 2ND
North/South Street: MERIDIAN
_________Worksheet 2 - Volume Adjustments and Site Characteristics
I Eastbound I Westbound I Northbound I Southbound
L T R I L T R I L T R I L T R
I ! ! I
Volume 117 13 6 139 6 75 16 198 38 174 265 14
% Thrus Left Lane
Eastbound
Westbound
Northbound
L1 L2
L1 L2
L1 L2
Configuration
LTR
LTR
LTR
PHF
0.50
0.56
0.66
Flow Rate
72
212
365
% Heavy Veh
0
0
2
No. Lanes
1
1
1
Opposing -Lanes
1
1
1
Conflicting -lanes
1
1
1
Geometry group
1
1
1
Duration, T 0.25
hrs.
Worksheet 3 - Saturation Headway
Adjustment Worksheet
Eastbound
Westbound
Northbound
L1 L2
L1 L2
L1 L2
Flow Rates:
Total in Lane 72
Left -Turn 34
Right -Turn 12
Prop. Left -Turns 0.5
Prop. Right -Turns 0.2
Prop. Heavy Vehicle0.0
Geometry Group 1
Adjustments Exhibit 17-33:
hLT-adj 0.2
Southbound
Ll L2
LTR
1.00
353
2
1
1
1
1
Southbound
Ll L2
212
365
353
69
9
74
133
57
14
0.3
0.0
0.2
0.6
0.2
0.0
0.0
0.0
0.0
1
1
1
0.2
0.2
0.2
hRT-adj
-0.6
-0.6
-0.6
hHV-adj
1.7
1.7
1.7
hadj, computed
-0.0
-0.3
-0.1
Worksheet 4 -
Departure Headway and
Service Time
Eastbound
Westbound
Northbound
L1 L2
Ll L2
Ll L2
Flow rate
72
212
365
hd, initial value
3.20 3.20
3.20 3.20
3.20 3.20
x, initial
0.06
0.19
0.32
hd, final value
6.29
5.65
5.27
x, final value
0.13
0.33
0.53
Move -up time, m
2.0
2.0
2.0
Service Time
4.3
3.7
3.3
Worksheet 5 -
Capacity and Level
of Service
Eastbound
Westbound
Northbound
L1 L2
L1 L2
L1 L2
Flow Rate
72
212
365
Service Time
4.3
3.7
3.3
Utilization, x
0.13
0.33
0.53
Dep. headway, hd
6.29
5.65
5.27
Capacity
322
462
615
Delay
10.20
11.45
14.16
LOS
B
B
B
Approach:
Delay
10.20
11.45
14.16
LOS
B
B
B
Intersection Delay
13.33
Intersection
LOS B
-0.6
1.7
0.1
Southbound
L1 L2
353
3.20 3.20
0.31
5.39
0.53
2.0
3.4
Southbound
L1 L2
353
3.4
0.53
5.39
603
14.25
B
14.25
B
HCS+: Unsignalized Intersections Release 5.6
TWO-WAY STOP CONTROL SUMMARY
Analyst:
Agency/Co.: COK
Date Performed: 2/13/2012
Analysis Time Period: 4:30 TO 5:30 PM
Intersection: MERAPPEP-1
Jurisdiction: FLATHEAD CO
Units: U. S. Customary
Analysis Year: 2012
Project ID: 12-002 EXISTING CONDITIONS W/ NORTHBOUND LTL
East/West Street: APPLEWAY
North/South Street: MERIDIAN
Intersection Orientation: NS Study period (hrs): 0.25
----------------- Vehicle Volumes and Adjustments
Major Street: Approach Northbound Southbound
Movement 1 2 3 1 4 5 6
L T R I L T R
volume
105 483
0
0
481
56
Peak -Hour Factor, PHF
0.86 0.86
0.96
1.00
0.91
0.91
Hourly Flow Rate, HFR
122 561
0
0
528
61
Percent Heavy Vehicles
1 --
--
1
---
--
Median Type/Storage
TWLTL -
/ 2 W
RT Channelized?
Lanes
1 1 0
1
1 0
Configuration
L TR
L
TR
Upstream Signal?
No
No
-----------------
----- --------
Minor' Street: Approach
-------------------------------------
Westbound
Eastbound
------------
Movement
7 8
9
I 10
11
12
L T
R
I L
T
R
---------------------------------------------------------------------
Volume
30
0
81
Peak Hour Factor, PHF
0.71
0.71
0.71
Hourly Flow Rate, HFR
42
0
114
Percent Heavy Vehicles
0
0
0
Percent Grade (%) 0
1
Flared Approach: Exists?/Storage
/
No
Lanes
0
1
0
Configuration
LTR
Approach
Movement
Lane Config
Delay, Queue Length, and Level of Service_________
NB SB Westbound Eastbound
1 4 1 7 8 9 1 10 11
L L I I LTR
12
v (vph)
122
0
156
C(m) (vph)
991
1015
445
v/c
0.12
0.00
0.35
95% queue length
0.42
0.00
1.55
Control Delay
9.1
8.5
17.4
LOS
A
A
C
Approach Delay
17.4
Approach LOS
C
HCS+: Unsignalized Intersections Release 5.6
Phone: Fax:
E-Mail.
TWO-WAY STOP CONTROL(TWSC) ANALYSIS
Analyst:
Agency/Co.: COK
Date Performed: 2/13/2012
Analysis Time Period: 4:30 TO 5:30 PM
Intersection: MERAPPEP-1
Jurisdiction: FLATHEAD CO
Units: U. S. Customary
Analysis Year: 2012
Project ID: 12-002 EXISTING CONDITIONS W/ NORTHBOUND LTL
East/West Street: APPLEWAY
North/South Street: MERIDIAN
Intersection Orientation: NS Study period (hrs): 0.25
_____Vehicle Volumes and Adjustments
------------- ------ --------._._------
Major Street Movements 1 2 3 4 5 6
L T R L T R
volume
105
483
0
0
481
56
Peak -Hour Factor, PHF
0.86
0.86
0.96
1.00
0.91
0.91
Peak-15 Minute Volume
31
140
0
0
132
15
Hourly Flow Rate, HFR
122
561
0
0
528
61
Percent Heavy Vehicles
1
--
--
1
--
--
Median Type/Storage
TWLTL
/ 2
RT Channelized?
Lanes
1
1 0
1
1 0
Configuration
L
TR
L
TR
Upstream Signal?
No
No
Minor Street Movements 7 8
L T
9 10
R L
11
T
12
R
—__---------------------------------------------------------------------------
Volume
30
0
81
Peak Hour Factor, PHF
0.71
0.71
0.71
Peak-15 Minute Volume
11
0
29
Hourly Flow Rate, HFR
42
0
114
Percent Heavy Vehicles
0
0
0
Percent Grade M 0
1
Flared Approach: Exists?/Storage
/
No /
RT Channelized?
Lanes
0
1
0
Configuration
LTR
Pedestrian Volumes and Adjustments
------------�....^__---- ----------------------
Movements 13 14 15 16
Flow (ped/hr) 0 0 0 0
Lane Width (ft)
Walking Speed (ft/sec)
Percent Blockage
Prog.
Flow
vph
S2 Left -Turn
Through
S5 Left -Turn
Through
12.0 12.0 12.0 12.0
4.0 4.0 4.0 4.0
0 0 0 0
Upstream Signal Data
--- -----------------------
Sat Arrival Green Cycle Prog. Distance
Flow Type Time Length Speed to Signal
vph sec sec mph feet
------------------------- ------------------------------------
Worksheet 3-Data for Computing Effect of Delay to Major Street Vehicles
-------------------------------------------- ---------
Movement 2 Movement 5
Shared In
volume, major
th vehicles:
Shared In
volume, major
rt vehicles:
Sat flow
rate, major th
vehicles:
Sat flow
rate, major rt
vehicles:
Number of
major street
through
lanes:
-------------
Worksheet
-------------
4-Critical Gap
---------------------------------------------------
and Follow-up
Time
Calculation
---------..--------------------------------------------------------------------
Critical
Gap Calculation
Movement
1
4
7
8
9 10
11
12
L
L
L
T
R L
T
R
--- -----------------
t(c,base)
----------------------------
4.1
4.1
-------------
7.1
6.5
----------- ---
6.2
t(c,hv)
1.00
1.00
1.00
1.00.
1.00 1.00
1.00
1.00
P(hv)
1
1
0
0
0
t(c,g)
0.20
0.20
0.10 0.20
0.20
0.10
Percent Grade
0.00
0.00
0.00 1.00
1.00
1.00
t(3,lt)
0.00
0.00
0.70
0.00
0.00
t(c,T):
1-stage 0.00
0.00
0.00
0.00
0.00 0.00
0.00
0.00
2-stage 0.00
0.00
1.00
1.00
0.00 1.00
1.00
0.00
t(c)
1-stage 4.1
4.1
6.6
6.7
6.3
2-stage 4.1
4.1
5.6
5.7
6.3
----------------------------------------------
Follow-Up
Time Calculations
---------- ----------------------
Movement
1
4
7
8
9 10
11
12
L
L
L
T
R L
T
R
--------------------
t(f,base)
----------------------------------------------------------
2.20
2.20
3.50
4.00
3.30
t(f,HV)
0.90
0.90
0.90
0.90
0.90 0.90
0.90
0.90
P (HV)
1
1
0
0
0
t(f)
2.2
2.2
3.5
4.0
3.3
-------------
Worksheet
----------------------------------
5-Effect of Upstream
Signals
---------------------------
-----------------------------
Computation 1-Queue Clearance
---------------------------------------------
Time at
Upstream Signal
Movement 2
Movement 5
V(t) V(l,prot)
V(t)
V(l,prot)
V prog
Total Saturation Flow Rate, s (vph)
Arrival Type
Effective Green, g (sec)
Cycle Length, C (sec)
Rp (from Exhibit 16-11)
Proportion vehicles arriving on green P
g(ql)
g(q2)
g (q)
----------------------------------------------------------------------------
Computation 2-Proportion of TWSC Intersection Time blocked
Movement 2 Movement 5
V (t) V (l,prot) V (t) V (l,prot)
alpha
beta
Travel time, t(a) (sec)
Smoothing Factor, F
Proportion of conflicting flow, f
Max platooned flow, V(c,max)
Min platooned flow, V(c,min)
Duration of blocked period, t(p)
Proportion time blocked, p 0.000 0.000
Computation 3-Platoon Event Periods Result
---------------------------------------------- ----------------------------- ---
p(2) 0.000
P(5) 0.000
p (dom)
p (subo)
Constrained or unconstrained?
Proportion
unblocked (1) (2) (3)
for minor Single -stage Two -Stage Process
movements, p(x) Process Stage I Stage II
p(1)
p(4)
p(7)
p(8)
p (9)
p (10)
p(11)
p(12)
---- ------------------------------------ -------------- -----------------------
Computation 4 and 5
Single -Stage Process
Movement 1 4 7 8 9 10 11 12
L L L T R L T R
---------- ---------------------- ----------------- ------------------------�—__
V c,x 589 561 1363 1363 558
s
Px
V c, u, x
C r, x
C plat,x
Two -Stage Process
7 8 10
11
Stagel Stage2 Stagel Stage2 Stagel Stage2 Stagel Stage2
V(c,x)
558 805
558 805
s
1500
1500
P(x)
V(C,u,x)
--------
C(r,x)
-------------
--- --------
-
C(plat,x)
Worksheet 6-Impedance
--------------------------------------------------------------------------
and Capacity Equations
_-
Step 1: RT from Minor
St.
9
12
----------------------------------------------------------------------------------
Conflicting Flows
558
Potential Capacity
525
Pedestrian Impedance
Factor
1.00
1.00
Movement Capacity
525
Probability of Queue
free St.
1.00
0.78
--- ------------------
Step 2: LT from Major
---------------------------------.----
St.
------------------
4
1
----------- ----------
Conflicting Flows
-------- ----------------------
------------------------
561
589
Potential Capacity
1015
991
Pedestrian Impedance
Factor
1.00
1.00
Movement Capacity
1015
991
Probability of Queue
free St.
1.00
0.88
Maj L-Shared Prob Q free St.
Step 3: TH from Minor St.
8
11
-------------------------------------- -------------------
Conflicting Flows
---------------------
1363
Potential Capacity
138
Pedestrian Impedance Factor
1.00
1.00
Cap. Adj. factor due to Impeding mvmnt
0.88
0.88
Movement Capacity
121
Probability of Queue free St.
1.00
1.00
------- _-- -------------------._..--------------------------........_._-----------------
Step 4: LT from Minor St.
7
10
-------------------------------------------------------
Conflicting Flows
---------------
1363
Potential Capacity
153
Pedestrian Impedance Factor
1.00
1.00
Maj. L, Min T Impedance factor
0.88
Maj. L, Min T Adj. Imp Factor.
0.91
Cap. Adj. factor due to Impeding mvmnt
0.71
0.88
Movement Capacity
134
Worksheet 7-Computation of the Effect of Two -stage Gap Acceptance
Step 3: TH from Minor
St.
8
11
---------------------------------------------------------------------------
Part 1 - First Stage
Conflicting Flows
558
Potential Capacity
398
499
Pedestrian Impedance
Factor
1.00
1.00
Cap. Adj. factor due
to Impeding mvmnt
0.88
1.00
Movement. Capacity
349
499
Probability of Queue
free St.
1.00
1.00
Part 2 - Second Stage
Conflicting Flows
805
Potential Capacity
499
381
Pedestrian Impedance Factor
1.00
1.00
Cap. Adj.-factor due to Impeding
mvmnt
1.00
0.88
Movement Capacity
499
334
----------------------------------------------------------------------------
Part 3 - Single Stage
Conflicting Flows
1363
Potential Capacity
138
Pedestrian Impedance Factor
1.00
1.00
Cap. Adj. factor due to Impeding
mvmnt
0.88
0.88
Movement Capacity
121
------------------------------------------------------------------------------
Result for 2 stage process:
a
0.95
0.95
y
C t
121
Probability of Queue free St.
1.00
1.00
-----------------------------------------------------------------------------
Step 4: LT from Minor St.
7
10
------------------------------------------------------------------------------
Part 1 - First Stage
Conflicting Flows
558
Potential Capacity
443
559
Pedestrian Impedance Factor
1.00
1.00
Cap. Adj. factor due to Impeding
mvmnt
0.88
1.00
Movement Capacity
388
559
------------------------------------------------------------------------------
Part 2 - Second Stage
Conflicting Flows
805
Potential Capacity
543
424
Pedestrian Impedance Factor
1.00
1.00
Cap. Adj. factor due to Impeding
mvmnt
0.78
0.88
Movement Capacity
425
372
----------------------
Part 3 - Single Stage
---------
Conflicting Flows
1363
Potential Capacity
153
Pedestrian Impedance Factor
1.00
1.00
Maj. L, Min T Impedance factor
0.88
Maj.� L, Min T Adj. Imp Factor.
0.91
Cap. Adj. factor due to Impeding
mvmnt
0.71
0.88
Movement Capacity
134
-----------------------------------------------------------------------------
Results for Two -stage process:
a
0.95
0.95
y
1.79
C t
315
-------------------------------
Worksheet 8-Shared Lane Calculations
--------------------------
---------------------------------------------------------------------------
Movement
7
8 9
10
11
12
L
T R
L
T
R
---------------------- -------------
Voiume (vph)
----------------------------------------
42
0
114
Movement Capacity (vph)
315
121
525
Shared Lane Capacity (vph)
445
Worksheet 9-Computation of Effect of Flared Minor Street Approaches
Movement
7 8 9
10
11
12
---------------
L T R
L
T
R
-----
C Sep
-------------
--M
315
-------.-------
121
525
Volume
42
0
114
Delay
Q Sep
Q Sep +1
round (Qsep +1)
---------------------------
n max
----------------------------------
C sh
445
SUM C sep
n
C act
-------------------------------------
Worksheet 10-Delay, Queue
-------------------------------------------
Length, and
-------------- -------------------------
Level of Service
Movement
1
4 7
-------------------------------------
8 9 10
11 12
Lane Config
L
L
LTR
------------- ------------------------
v (vph)
122
------------------------
0
-----------------
156
C(m) (vph)
991
1015
445
v/c
0.12
0.00
0.35
95% queue length
0.42
0.00
1.55-X
Control Delay
9.1
8.5
17.4
LOS
A
A
C
Approach Delay
17.4
Approach LOS
---------------------------------
C
Worksheet 11-Shared Major
------------------------_
LT Impedance
and Delay
-------------------
-----------------------------------------------------------------------------
Movement
2
Movement
5
---------------------------------------------------------------------------
p(oj)
0.88
1.00
---
v(il), Volume for
stream
2 or 5
v(i2), Volume for
stream
3 or 6
s(il), Saturation
flow rate
for stream
2 or 5
s(i2), Saturation
flow rate
for stream
3 or 6
P*(o7)
d(M,LT), Delay for
stream
1 or 4
9.1
8.5
N, Number of major street through lanes
d(rank,l) Delay for stream 2 or 5
HCS+: Unsignalized Intersections Release 5.6
Phone: Fax:
E-Mail:
ALL -WAY STOP CONTROL(AWSC) ANALYSIS
Analyst: TMW
Agency/Co.: COK
Date Performed: 2/13/2012
Analysis Time Period: 4:30 TO 5:30 PM
Intersection: MERCENEP-1
Jurisdiction: FLATHEAD CO
Units: U. S. Customary
Analysis Year: 2012
Project ID:
East/West Street: CENTER
North/South.-Street: MERIDIAN
Worksheet 2 - Volume Adjustments and Site Characteristics
I Eastbound I Westbound I Northbound I Southbound
I L T R I L T R I L T R I L T R
Volume 112 6 4 136 6 282 10 248 30 1245 311 11
% Thrus Left Lane
Eastbound
Westbound
Northbound
Southbound
L1 L2
L1 L2
L1 L2
L1 L2
Configuration
LTR
LT R
LTR
L TR
PHF
0.68
0.91 0.91
0.76
0.64 0.84
Flow Rate
30
45 309
365
291 383
Heavy Veh
0
0 1
1
0 1
No. Lanes
1
2
1
2
Opposing -Lanes
2
1
2
1
Conflicting -lanes
2
2
2
2
Geometry group
4b
5
4b
5
Duration, T 0.25
hrs.
___________Worksheet 3 - Saturation Headway Adjustment
Worksheet
Eastbound
Westbound
Northbound
Southbound
L1 L2
Ll L2
Ll L2
L1 L2
Flow Rates:
Total in Lane 30
Left -Turn 17
Right -Turn 5
Prop. Left -Turns 0.6
Prop. Right -Turns 0.2
Prop. Heavy Vehicle0.0
Geometry Group 4b
Adjustments Exhibit 17-33:
hLT-adj 0.2
45
309
365
291
383
39
0
0
291
0
0
309
39
0
13
0.9
0.0
0.0
1.0
0.0
0.0
1.0
0.1
0.0
0.0
0.0
0.0
0.0
0.0
0.0
5
4b
5
9M
Im
��i
hRT-adj
-0.6
-0.7
-0.6
hHV-adj
1.7
1.7
1.7
hadj, computed
0.0
0.4
-0.7
-0.0
---------Worksheet 4 -
Departure
Headway and
Service Time
Eastbound
Westbound
Northbound
Ll L2
L1
L2
L1 L2
Flow rate
30
45
309
365
hd, initial value
3.20 3.20
3.20
3.20
3.20 3.20
x, initial
0.03
0.04
0.27
0.32
hd, final value
8.33
7.78
6.64
6.70
x, final value
0.07
0.10
0.57
0.68
Move -up time, m
2.3
2.3
2.3
Service Time
6.0
5.5
4.3
4.4
Worksheet 5. -
Capacity
and Level
of Service
Eastbound
Westbound
Northbound
Ll L2
L1
L2
L1 L2
Flow Rate
30
45
309
365
Service Time
6.0
5.5
4.3
4.4
Utilization, x
0.07
0.10
0.57
0.68
Dep. headway, hd
8.33
7.78
6.64
6.70
Capacity
280
295
520
527
Delay
11.65
11.32
17.79
22.43
LOS
B
B
C
C
Approach:
Delay
11.65
16.97
22.43
LOS
B
C
C
Intersection Delay
20.04
Intersection
LOS C
-0.7
1.7
0.5 -0.0
Southbound
Ll
L2
291
383
3.20
3.20
0.26
0.34
7.01
6.50
0.57
0.69
2.3
4.7
4.2
Southbound
L1 L2
291 383
4.7 4.2
0.5719 0.69
7.010 6.50
507 547
18.48 22.46
C C
20.74
C