Traffic And Highway Engineering
5th Edition
ISBN: 9781133605157
Author: Garber, Nicholas J., Hoel, Lester A.
Publisher: Cengage Learning,
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Chapter 18, Problem 12P
To determine
The optimum asphalt content as a percentage of the total mix.
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4.5 in
2.5 in.
D
B1
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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
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4.5 in.
2.5 in.
140 lb
B
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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.
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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
Chapter 18 Solutions
Traffic And Highway Engineering
Ch. 18 - Prob. 1PCh. 18 - Prob. 2PCh. 18 - Prob. 3PCh. 18 - Prob. 4PCh. 18 - Given the specifications for an asphaltic concrete...Ch. 18 - Given the particle size distributions of two...Ch. 18 - Given the particle size distributions of two...Ch. 18 - Given four different types of aggregates to be...Ch. 18 - Prob. 9PCh. 18 - Prob. 10P
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- Please 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_forwardSolve /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_forward
- 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
- 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 = 2.4 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_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 = 2.4m 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_forward
- Current 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_forwardA vinyl [E= 2.60 GPa; v = 0.43] block with width b = 50 mm, depth d = 100 mm, and height h = 270 mm rests on a smooth rigid base. A load P is applied to a rigid plate that rests on top of the block. Calculate the change in the depth dimension d of the block after a load of P = 120 kN is applied. Rigid plate Answer: Ad= Width b Depth d Height Rigid base mmarrow_forwardAn aluminum [E = 11900 ksi] control rod with a circular cross section must not stretch more than 0.24 in. when the tension in the rod is 1980 lb. If the maximum allowable normal stress in the rod is 12.1 ksi, determine: (a) the smallest diameter d that can be used for the rod. (b) the corresponding maximum length L of the rod. Answers: (a) d = i (b) L = i in. in.arrow_forward
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