Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Chapter 4.6, Problem 72P
To determine
Normal stresses in both segments.
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The rigid bar ABCD of negligible weight is initially horizontal, and the steel rods attached at A and C are stress-free. If the temperature is dropped to −40°F and the 20-kip load is then applied, determine the stress in each steel rod at A and C Use E=29x106 psi and ∝=6.5x10−6/° F for steel.
The plastic 50-mm diameter rod is placed in a 51-mm-diameter hole with rigid walls. Determine the change in the length of the rod after the 8 kN load is applied. Use E = 40 MPa and v=0.45 for the rod.
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Chapter 4 Solutions
Mechanics of Materials
Ch. 4.2 - The 20-mm-diameter A-36 steel rod is subjected to...Ch. 4.2 - Segments AB and CD of the assembly are solid...Ch. 4.2 - The 30-mm-diameter A992 steel rod is subjected to...Ch. 4.2 - If the 20-mm-diameter rod is made of A-36 steel...Ch. 4.2 - The 20-mm-diameter 2014-T6 aluminum rod is...Ch. 4.2 - The 20-mm-diameter 2014-T6 aluminum rod is...Ch. 4.2 - The copper shaft is subjected to the axial loads...Ch. 4.2 - The A-36 steel rod is subjected to the loading...Ch. 4.2 - The A-36 steel rod is subjected to the loading...Ch. 4.2 - The A-36 steel drill shaft of an oil well extends...
Ch. 4.2 - Prob. 8PCh. 4.2 - The post is made of Douglas fir and has a diameter...Ch. 4.2 - The post is made of Douglas fir and has a diameter...Ch. 4.2 - The coupling rod is subjected to a force of 5 kip....Ch. 4.2 - The pipe is stuck in the ground so that when it is...Ch. 4.2 - The assembly consists of three titanium...Ch. 4.2 - The assembly consists of two rigid bars that are...Ch. 4.2 - The truss consists of three members, each made...Ch. 4.2 - Solve Prob. 426 when the load P acts vertically...Ch. 4.2 - The ball is truncated at its ends and is used to...Ch. 4.5 - The column is constructed from high-strength...Ch. 4.5 - The column is constructed from high-strength...Ch. 4.5 - The A-36 steel pipe has a 6061-T6 aluminum core....Ch. 4.5 - The 304 stainless steel post A has a diameter of...Ch. 4.5 - The 304 stainless steel post A is surrounded by a...Ch. 4.5 - The 10-mm-diameter steel bolt is surrounded by a...Ch. 4.5 - The rigid beam is supported by the three suspender...Ch. 4.5 - The bolt AB has a diameter of 20 mm and passes...Ch. 4.5 - If the gap between C and the rigid wall at D is...Ch. 4.5 - The support consists of a solid red brass C83400...Ch. 4.5 - Prob. 55PCh. 4.5 - The three A-36 steel wires each have a diameter of...Ch. 4.5 - The A-36 steel wires AB and AD each have a...Ch. 4.5 - The assembly consists of two posts AB and CD each...Ch. 4.5 - The assembly consists of two posts AB and CD each...Ch. 4.5 - The assembly consists of two posts AB and CD each...Ch. 4.5 - The wheel is subjected to a force of 18 kN from...Ch. 4.6 - The C83400-red-brass rod AB and 2014-T6- aluminum...Ch. 4.6 - The assembly has the diameters and material...Ch. 4.6 - Prob. 72PCh. 4.6 - Prob. 77PCh. 4.6 - Prob. 80PCh. 4.6 - The 50-mm-diameter cylinder is made from Am...Ch. 4.6 - The 50-mm-diameter cylinder is made from Am...Ch. 4.6 - The metal strap has a thickness t and width w and...Ch. 4.9 - Determine the maximum normal stress developed in...Ch. 4.9 - If the allowable normal stress for the bar is...Ch. 4.9 - Prob. 89PCh. 4.9 - The A-36 steel plate has a thickness of 12 mm. If...Ch. 4.9 - Determine the maximum axial force P that can be...Ch. 4.9 - Determine the maximum normal stress developed in...Ch. 4.9 - The member is to be made from a steel plate that...Ch. 4.9 - Prob. 96PCh. 4.9 - The bar has a cross-sectional area of 0.5 in2 and...Ch. 4.9 - The distributed loading is applied to the rigid...Ch. 4.9 - The distributed loading is applied to the rigid...Ch. 4.9 - The rigid lever arm is supported by two A-36 steel...Ch. 4.9 - The rigid lever arm is supported by two A-36 steel...Ch. 4.9 - The wire BC has a diameter of 0.125 in. and the...Ch. 4.9 - Prob. 104PCh. 4.9 - Prob. 106PCh. 4 - The assembly consists of two A992 steel bolts AB...Ch. 4 - The assembly shown consists of two A992 steel...Ch. 4 - The rods each have the same 25-mm diameter and...Ch. 4 - Two A992 steel pipes, each having a...Ch. 4 - The force P is applied to the bar, which is made...Ch. 4 - The 2014-T6 aluminum rod has a diameter of 0.5 in....Ch. 4 - The 2014-T6 aluminum rod has a diameter of 0.5 in....Ch. 4 - The rigid link is supported by a pin at A and two...Ch. 4 - The joint is made from three A992 steel plates...
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- The rod is 200 mm long and 60 mm in diameter. If an axial load of 300 N is applied to it, determine the change in its length, the change in its diameter, normal stress and normal strain. The Poisson's ratio is 0.4 and the modulus of elasticity is 20 GPa.arrow_forwardThe d = 15-mm-diameter solid rod passes through a D = 20-mm-diameter hole in the support plate. When a load P is applied to the rod, the rod head rests on the support plate. The support plate has a thickness of b = 15 mm. The rod head has a diameter of a = 30 mm, and the head has a thickness of t = 9 mm. If the normal stress produced in the rod by load P is 200 MPa, determine (a) the bearing stress acting between the support plate and the rod head. (b) the average shear stress produced in the rod head. (c) the punching shear stress produced in the support plate by the rod head. Support Plate Hole diameter D Rod Head Calculate the cross-sectional area of the rod. Answer: Arodi mm²arrow_forwardIf the bolt length is 220 mmmm and the sleeve length is 200 mmmm, determine the tension in the bolt when a force of 50 kNkN is applied to the brackets. Express your answer to three significant figures and include appropriate units. Given: The bolt AB in (Figure 1) has a diameter of 21 mmmm and passes through a sleeve that has an inner diameter of 42 mmmm and an outer diameter of 52 mmmm. The bolt and sleeve are made of A-36 steel and are secured to the rigid brackets as shown.arrow_forward
- A rod made of 2014-T6 aluminum fits securely between its fixed supports A and B when the temperature is T1= 70 °F. An axial force of P is applied to the rigid collar as shown when the temperature becomes T2= –10 °F. The diameter of the solid rod is 0.5 inch. The elastic modulus of 2014-T6 aluminum is 10.6×103 ksi, the linear coefficient of thermal expansion is 12.8 ×10-6 /°F. Assume, P = 1800 lb. A) The thermal stress in the rod caused by cooling only in the absence of force, P, is _____ ksi. B) The reactive axial load at the fixed support B is _______ kip. C)The axial stress on the cross-section of the aluminum rod between A and C is _______ ksi. D) The contraction in the aluminum rod between C and B is ________ ×10-3 inch when both the thermal stress and the axial loading effects are considered.arrow_forwardA rod made of 2014-T6 aluminum fits securely between its fixed supports A and B when the temperature is T1= 70 °F. An axial force of P is applied to the rigid collar as shown when the temperature becomes T2= –10 °F. The diameter of the solid rod is 0.5 inch. The elastic modulus of 2014-T6 aluminum is 10.6×103 ksi, the linear coefficient of thermal expansion is 12.8 ×10-6 /°F. Assume, P = 1800 lb. A) The reactive axial load at the fixed support B is _______ kip. .935 .647 1.22 1.65 1.44 B) The axial stress on the cross-section of the aluminum rod between A and C is _______ ksi. 19.0 7.42 14.0 22.3 16.5 C) The contraction in the aluminum rod between C and B is ________ ×10-3 inch when both the thermal stress and the axial loading effects are considered. 3.59 3.06 2.66 1.73 2.26arrow_forwardDirect tension indicators are sometimes used instead of torque wrenches to ensure that a bolt has a prescribed tension when used for connections. If a nut on the bolt is tightened so that the six 3-mm high heads of the indicator are strained 0.1 mm>mm, and leave a contact area on each head of 1.5 mm2, determine the tension in the bolt shank. The material has the stress-straindiagram is shown.arrow_forward
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EVERYTHING on Axial Loading Normal Stress in 10 MINUTES - Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=jQ-fNqZWrNg;License: Standard YouTube License, CC-BY