Construction Materials, Methods and Techniques (MindTap Course List)
4th Edition
ISBN: 9781305086272
Author: William P. Spence, Eva Kultermann
Publisher: Cengage Learning
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Chapter 4, Problem 8RQ
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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.
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.
=
A 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?
Chapter 4 Solutions
Construction Materials, Methods and Techniques (MindTap Course List)
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- 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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