Traffic And Highway Engineering
5th Edition
ISBN: 9781337631020
Author: Garber, Nicholas J.
Publisher: Cengage,
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Chapter 14, Problem 15P
To determine
The conditions to prefer in borrowing new material from a borrow pit for a highway embankment
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For the gravity concrete dam shown in the figure, the following data are available:
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- Unit weight of concrete (Yeone) 24 KN/m³
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H=0.65, (Ywater)= 9.81 KN/m³
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- 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
- A 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_forwardView Policies Current Attempt in Progress At an axial load of 19 kN, a 45-mm-wide by 15-mm-thick polyimide polymer bar elongates 2.7 mm while the bar width contracts 0.19 mm. The bar is 220 mm long. At the 19-kN load, the stress in the polymer bar is less than its proportional limit. Determine (a) the modulus of elasticity. (b) Poisson's ratio. (c) the change in the bar thickness. Answers: (a) E= (b) v= (c) Athickness eTextbook and Media Save for Later GPa mm Attempts: 0 of 5 used Submit Answerarrow_forward
- In the two-member assembly shown, find the axial force in rod (1) if P = 11.3 kips. 8 ft 12 ft O 4.45 kips 8.53 kips 9.38 kips O 7.24 kips 6.76 kips B 16 ftarrow_forwardFigure 3 shows the numerical solution of the advection equation for a scalar u along x at threeconsecutive timesteps.Provide an explanation what conditions and numerical setup could explain the curves. Identifywhich of the three curves is the first, second and third timestep.arrow_forwardRequired information For the beam shown, use only singularity functions. V₁-350 lbf, V2 35 lbf/in, V3-12 in, and V4 = 6 in. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. V1 V2 0 ZA V3 V4 V4 What is the value of the reaction force and the moment at O? The reaction force O is | The moment at point O is 650 lbf. lbf inarrow_forward
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