Traffic and Highway Engineering - With Mindtap
5th Edition
ISBN: 9781305360990
Author: Garber
Publisher: CENGAGE L
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Chapter 4, Problem 23P
To determine
The number of additional parking bays in the parking lot.
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4.5 in
2.5 in.
D
B1
0
140 lb
5 in.
40°
20 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.
answered
Submit part
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.
Unanswered
1.) 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 2.0
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Traffic and Highway Engineering - With Mindtap
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- Draw the shear force and bending moment diagramarrow_forwardThe 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_forward
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