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CIVIL ASSIGNMENT
Name:
Course
Professor’s name
University name
City, State
Q1: Gantt Bar Chart representing the activity
Q1 (b)
Vicarious liability refers to a legal doctrine where an individual or a company is held responsible for the actions or omissions done by a different person. For instance, in the context of the workplace, an employer can be liable to the actions or omissions of their employees, provides such actions or omissions are proved to have been conducted during the working time or in the course of the employment.
In the case of the graduate surveyor, we understand that he set out to survey using the employers’ equipment, and vehicle and received cash payment for the services rendered. What we cannot out rightly establish is whether the work had been sanctioned by the employer, since the only evidence is the use of its equipment to perform the tasks. The key question therefore is whether the employee was acting on his personal capacity or in the course of employment. This seems to be difficult to confidently determine. Nor does the liability of the employer stops when there is no proof of employer directive.
As the vicarious liability law stands, action against the employer can still be instituted even though the person the proof of the employer contribution can only be sited based on presence of his equipment and vehicle.
Some of the practical steps the employer should have carried out is ensure that the graduate surveyor was effectively supervised by a seasoned surveyor or engineer
Q2 (a).
(i) Calculation of the RL’s of the chainage along the tangents
A=| (-3)-4|=7%, from the chainage table, the pegging chainage, Pegging interval is 20m
Increment at 4.0% increment at -3.0%
The calculated RL’s at the tangent
For 4.0% grade
Chainage
RL's
Increment
Calculated RL's
600
37.0
0
37.0
620
36.5
0.8
37.3
640
37.0
0.8
37.8
660
37.0
0.8
37.8
680
38.0
0.8
38.8
For -0.3% upgrade
Chainage
RL's
Increment
Calculated RL's
700
38.4
0
38.4
720
38.4
0.6
39.0
740
37.7
0.6
38.3
760
37.6
0.6
38.2
780
37.2
0.6
37.8
800
38.0
0.6
38.6
(ii) Reduced levels of the design surface
Calculating the offsets from the design straight metrage;
From the start =0.0175*0=0.00
Chainage
RL formation
RL's
Design Surface
600
0
37.0
37.00
620
0.07
36.5
36.43
640
0.28
37.0
36.72
660
0.63
37.0
36.37
680
1.12
38.0
36.88
700
1.75
38.4
36.65
720
1.12
38.4
37.28
740
0.63
37.7
37.07
760
0.28
37.6
37.32
780
0.07
37.2
37.13
800
0
38.0
38.00
(iii) The cut to be filled on each peg along the centerline.
Chainage
RL's at Tangent
Vc Offsets
RL formation
RL. Nat Surface
Cut
Fill
600
37.00
0
37.0
37
0.0
620
37.30
0.07
36.5
36.43
0.1
640
37.80
0.28
37.0
36.72
0.3
660
37.80
0.63
37.0
36.37
0.6
680
38.80
1.12
38.0
36.88
1.1
700
38.40
1.75
38.4
36.65
1.8
720
39.00
1.12
38.4
37.28
1.1
740
38.30
0.63
37.7
37.07
0.6
760
38.20
0.28
37.6
37.32
0.3
780
37.80
0.07
37.2
37.13
0.1
800
38.60
0
38.0
38
0.0
Q2 (b) B1=0°00’ 00” B1=20°00’ 00” R=400
Peg interval =50m Interval angle, B1=20°00’ 00” Meterage TP1=383m
Calculation of Curves
Short arc=
=
=139.626m
= 3.125x10-10
H =
=
=0.2604*0.986
=0.2567544
Short sec=
=
=394.183
Short tangent=
=
Transitional length =400
Shift (H)=
(C)
Height of collimation=86.9m
Design Centre-line level=86.0m
Distance from the Centre-line to edge of shoulder=5.0m
Pavement cross fall=-3%
Side batter=1.1 (horizontal to vertical)
Natural surface staff reading for batter point= 3.95m
Calculate:
Height difference between centre-line level to shoulder = =0.0167m
R.L of shoulder = 86-0.0167= 85.9833 m
R.L. of batter point = 86.9- 3.95 = 82.95m
Height difference between shoulder and batter point = 85.9833 -82.95=3.0333m
So, Distance from shoulder to batter point = =3.0333 m
Offset from the design centre-line for the batter point = 5.0+3.0333= 8.0333m
Question 3
AY2=sqrt(252+22)=25.0798m
To calculate the low water I need to calculate the length of GE, and AG.
Assuming that the bearing from A to B is 90
Bearing of B to Y is 1800
By plotting the diagram, we measure bearing Y to a as 355025’34”
ß AB 2m
ß BE 5m
ß AG (1.6m)
ß GA ’ (5.016m)
High water
N=0.026
S=0.01
A=0.5*(a+b)*h=0.5*(6+6+4)*25=200m2
P= (25.0798*2)+5=55.15974m
Lower Water
P= (25.0798-5.016)*2)+6= 46.1276m
Q3 (b)
Q4. Road Construction drawings no: 343289 and 343295
Excavation and embankment Type A roadway
Table 1: Cross falls and widths for Type A for the left- hand side and right hand side lanes and shoulders
Position
Distance from centerline (m)
Cross fall (%)
Height Difference (m)
Total difference from centerline (m)
Traffic lane (A)
Traffic lane (B)
Traffic lane (C)
Traffic lane (D)
Traffic lane (E)
Traffic lane (F)
(E)+(F)
Left hand side
3.5
1
3%
-3%
0.105
0.075
0.075
From the plan
FSL at chainage 26940 centre line = 98.082 m
RL at top of stake = 98.150 m
Height difference between traffic lane and centre =
Total subgrade layers = 0.575 m
String line adjustment
Subgrade level = 98.117+ 0.105 – 0.575 = 97.612 m
Distance down stake = 98.300 -97.762= 0.538m
The stake should be at mark (0.538– 0.015) = 0.523 m
(C.
An error was detected on the line extending from CT
Using close program the bearing of line CT was found to be ~285 as opposed to 220d 21’ 30
given on the plan.
From the Plan, E N
Coordinates of IP 50561.212 150119.664
Coordinates of CT 50324.289 150162.958
Dep Lat
50324.289-50561.212= -236.923 m 150162.958- 150119.664 = 43.294 m
β = Tan (A)
β of IP-CT=
β of TP-IP=
Intersection angle (I) =
Point
Line
Bearing
D
E
N
TC
50755.582
149977.441
IP
TC-IP
240.846
-194.369
142.22334
50561.2131
150119.6643
CT
IP-CT
240.846
-236.9227
43.294694
50324.29
150162.959
Since the coordinates are the same, it can be assumed that they are correct
(d). Subtract 90d from the bearing as the offset is perpendicular to centerline=
Point
Line
Bearing
D
E
N
CT
50755.582
149977.441
26940
26940-CT
71.717
-70.549
12.892
50561.2131
150119.6643
20 to left
26940-20Left
20
-3.595
-19.674
50324.29
150162.959
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