Concept explainers
(a)
Time mean speed.
Answer to Problem 1P
The time mean speed is
Explanation of Solution
Given:
Observers stationed at two sections XX and YY, 500 ft apart on a highway, recording the time of vehicles on their arrival as shown in the accompanying table
The total time of observation at XX was 15 sec.
In order to calculate time mean speed, we need to figure out traveling time of each vehicle which is the difference of time taken by a vehicle in travelling from XX to YY section between the two sections.
Calculation:
Vehicles | Section XX | Section YY | Travelling time of vehicle, |
A | | | |
B | | | |
C | | | |
D | | | |
We have the following formula for the time mean speed:
Where,
n is the number of the vehicles passing.
Now, the speed of the individual vehicles is as follows:
Speed of vehicle A:
Speed of vehicle B:
Speed of vehicle C:
Speed of vehicle D:
Now, the time mean speed can be calculated by substituting the values in the following formula:
Conclusion:
Therefore, the time mean speed is
(b)
Space mean speed.
Answer to Problem 1P
The time mean speed is
Explanation of Solution
Given:
Observers stationed at two sections XX and YY, 500 ft apart on a highway, recording the time of vehicles on their arrivalas shown in the accompanying table.
The total time of observation at XX was 15 sec.
Calculation:
We have the following formula for finding out the space mean speed.
Where,
Substitute the values, we have:
Conclusion:
Therefore, the time mean speed is
(c)
Flow at section XX.
Answer to Problem 1P
The flow at section XX is as follows
Explanation of Solution
Given:
Observers stationed at two sections XX and YY, 500 ft apart on a highway, recording the time of vehicles on their arrival as shown in the accompanying table.
The total time of observation at XX was 15 sec.
Calculation:
We have the following formula for finding out the flow at XX section.
Where,
Substitute the values, we have:
Conclusion:
Therefore, the flow at section XX is as follows
Want to see more full solutions like this?
Chapter 6 Solutions
Traffic and Highway Engineering
- 4.5 in. 2.5 in. 140 lb B Only handwritten 5 in. 40° 120 lb Replace the forces acting at A and D with an equivalent force-couple system acting at point B. Force B = acting at a angle measured from the Submit part Couple M= in the direction. Unansweredarrow_forward1.) Calculate the internal forces and moments (shear force, bending moment, and axial force if applicable) at point C on the beam shown below. Clearly show all your steps, including the calculation of support reactions, and the determination of internal loadings at point C. (Ans: Nc = 0 kN, Vc = -6.53 kN, Mc = 71.68 kN.m) 40 pts. 7.5 kN A H 6.0 kN/m 4.0 kN 4.0 C B 2.0 3.0 7.0 1.5 2.0arrow_forwardPlease solve using cartesian coordinates. Be clear about why cos or sin is used (explain the trig). Make sure to account for the normal force.arrow_forward
- Solve /Draw the shear force and bending moment for these Don't use Artificial intelligencearrow_forwardA For the gravity concrete dam shown in the figure, the following data are available: -The factor of safety against sliding (F.S sliding) =1.2 - Unit weight of concrete (Yeone) 24 KN/m³ - Neglect( Wave pressure, silt pressure, ice force and earth quake force) H=0.65, (Ywater)= 9.81 KN/m³ Find factor of safety against overturning (F.S overturning) 10m 5m 6m 80marrow_forwardDraw the shear force and bending moment diagramarrow_forward
- The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 75 GPa] with a cross-sectional area of A₁ = 850 mm². Bar (2) is a bronze alloy [E = 109 GPa] with a cross-sectional area of A₂ = 410 mm². Assume L₁=2.6 m, L₂-3.3 m, a=0.7 m, b=1.5 m, and c=0.8 m. All bars are unstressed before the load P is applied; however, there is a 4.5-mm clearance in the pin connection at A. If a load of P = 45 kN is applied at B, determine: (a) the normal stresses σ1,02, in both bars (1) and (2). (b) the normal strains €1, €2, in bars (1) and (2). (c) determine the downward deflection VA of point A on the rigid bar. (1) Answers: a (a) σ1 = (b) E₁ = (C) VA = i i i ล B C L2 b C MPa, σ = i με, Ε2 i mm. MPa. μεarrow_forwardThe pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 79 GPa] with a cross-sectional area of A₁ = 780 mm². Bar (2) is a bronze alloy [E = 104 GPa] with a cross-sectional area of A₂ = 460 mm². Assume L₁=1.6 m, L₂-2.1 m, a=0.6 m, b=1.8 m, and c-1.3 m. All bars are unstressed before the load P is applied; however, there is a 4-mm clearance in the pin connection at A. If a load of P = 58 kN is applied at B, determine: (a) the normal stresses 01,02, in both bars (1) and (2). (b) the normal strains €1,2, in bars (1) and (2). (c) determine the downward deflection VA of point A on the rigid bar. (1) L₁ B Answers: (a)σ = b ล L2 C D i MPa, σ1 = i MPa. με, Ε2 = i με. (b) €1 = i (C) VA = i mm.arrow_forwardA load of P = 114 kN is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 116 GPa] rods, and a solid steel [E=192 GPa] rod, as shown. The bronze rods (1) each have a diameter of 19 mm and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 28 mm. All bars are unstressed before the load P is applied; however, there is a 1.5-mm clearance in the bolted connection at B. Assume L₁ = 2.4 m and L₂ = 1.5 m. Determine: (a) the normal stresses in the bronze and steel rods (01, 02). (b) the downward deflection of rigid bar ABC. (1) Answers: L2 (a) σ1 (b) v = = i i B (1) MPa, 02 mm. = i MPa.arrow_forward
- A load of P = 114 kN is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 116 GPa] rods, and a solid steel [E=192 GPa] rod, as shown. The bronze rods (1) each have a diameter of 19 mm and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 28 mm. All bars are unstressed before the load P is applied; however, there is a 1.5-mm clearance in the bolted connection at B. Assume L₁ = 2.4m and L2 = 1.5 m. Determine: (a) the normal stresses in the bronze and steel rods (01,02). (b) the downward deflection of rigid bar ABC. (1) Answers: (a)σ1 = (b) vi L2 (2) (1) B P mm. Li MPa, 02 MPa. =arrow_forwardA high-density polvethelene (HD PE I9 - 780 MPaiy = 0.46 rod has a diameter of 70 mm before load Pis applied. In order to maintain certain clearances, the diameter of the rod must not exceed 72 mm when loaded. What is the largest permissible compressive load P that can be applied to the HDPE rod?arrow_forwardCurrent Attempt in Progress A load of P 117 kN is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E= 83 GPa] rods, and a solid steel [E 182 GPa] rod, as shown. The bronze rods (1) each have a diameter of 20 mm and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 26 mm. All bars are unstressed before the load Pis applied; however, there is a 3.4-mm clearance in the bolted connection at B. Assume L₁ = 3.3 m and L2 = 1.6 m. Determine: (a) the normal stresses in the bronze and steel rods (01, 02). (b) the downward deflection v of rigid bar ABC. (1) Answers: L2 (2) (1) B P (a) σ = (b) y = eTextbook and Media Save for Later MPa. MPa, 02 = mm. Attempts: 0 of 5 used Submit Answerarrow_forward
- Traffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage Learning