Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Chapter 4, Problem 3RP
The rods each have the same 25-mm diameter and 600-mm length. If they are made of A992 steel, determine the forces developed in each rod when the temperature increases by 50° C.
R4–3
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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 bar of negligible weight is supported by two springs,each having a stiffness k = 80 N>m. If the springs are originally unstretched, and the force is vertical as shown,determine the angle theta the bar makes with the horizontal,when the 45-N force is applied to the bar. 1.5 m- 3 m C В 45 Narrow_forwardQ2/ The 10-mm-diameter bolt is made of an aluminum alloy. It fits through a magnesium sleeve that has an inner diameter of 15 mm and an outer diameter of 25 mm. The original lengths of the bolt and sleeve are 80 mm and 50 mm, respectively. If after the nut on the bolt is tightened the tension in the bolt is 10 kN, determine the change in dimension of the cross-section of the bolt and the sleeve. Assume the material at A is rigid. Ea = 70 GPa, Emg = 45 GPa, Ga = 26 GPa, Gmg = 17 GPa. 50 mm 30 mmarrow_forwardQ2/ The 10-mm-diameter bolt is made of an aluminum alloy. It fits through a magnesium sleeve that has an inner diameter of 15 mm and an outer diameter of 25 mm. The original lengths of the bolt and sleeve are 80 mm and 50 mm, respectively. If after the nut on the bolt is tightened the tension in the bolt is 10 kN, determine the change in dimension of the cross-section of the bolt and the sleeve. Assume the material at A is rigid. E = 70 GPa, Emg = 45 GPa, Ga 26 GPa, Gmg= 17 GPa. 50 mm 30 mmarrow_forward
- The central bar CD of the assembly is heated from 30 ° C to 180 ° C by means of an electrical resistance. Also the two bars AB and EF are heated from 30 ° C to 50 ° C. At the lower temperature of 30 ° C, the space between C and the rigid bar is 0.7 mm. Determine the force in bars AB and EF caused by the increase in temperature. Bars AB and EF are made of steel and each has a cross-sectional area of 125 mm ^ 2; CD is aluminum with a cross-sectional area of 375 mm ^ 2. Steel = 200GP; Ealuminum = 70 GPa; alpha steel = 12 X10 ^ -6 (1 / ºC); alpha aluminum = 23 X10 ^ -6 (1 / ° C).arrow_forward4-71. A 1.8-m-long steam pipe is made of A-36 steel with oy = 280 MPa. It is connected directly to two turbines A and B as shown. The pipe has an outer diameter of 100 mm and a wall thickness of 6 mm. The connection was made at T = 20°C. If the turbines' points of attachment are assumed rigid, determine the force the pipe exerts on the turbines when the steam and thus the pipe reach a temperature of T = 135°C. %3D -1.8 m- F = 489 kN F = 100 kN F = 198 kN F= 356 kN %3Darrow_forwardThe 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.arrow_forward
- The rigid beam is supported by three 25-mm diameter A-36 steel rods. If the beam supports the force of P=230 kN, determine the force developed in each rod. Consider the steel to be an elastic perfectly plastic material.arrow_forwardDetermine the magnitude of the pin force at A. Assume W = 830 lb, a = 5.5 ft, b = 4.0 ft, r = 8 in. r W с Answer: A = i a B a A D lb barrow_forwardDetermine the magnitude of the pin force at B. at 0.61 m 0.39 m 0.39 m 280 N-m 0.39 m B Answer: B = i Narrow_forward
- 3. At temperature T₁, the two rigidly connected rods just fit the rigid supports. If both sections are identical except for the diameter, prove that the following equations are true when temperature rises to T₂. a. F= b. OAB C. OBC A x(T₂-T₁)лd²E 20 x(T₂-T₁)E 5 9x(T₂-T₁)E 5 -1/2- d B 1/12- d Carrow_forwardR9-3. The rods each have the same 25-mm diameter and 600-mm length. If they are made of A992 steel, determine the forces developed in each rod when the temperature increases by 50 C. -в00 mm- 600 mmarrow_forwardThe bracket is held to the wall using three A-36 steel bolts at B, C, and D. Each bolt has a diameter of 0.5 in. and an unstretched length of 2 in. If a force of 800 lb is placed on the bracket as shown,determine the force developed in each bolt. For the calculation, assume that the bolts carry no shear; rather, the vertical force of 800 lb is supported by the toe at A. Also, assume that the wall and bracket are rigid. A greatly exaggerated deformation of the bolts is shown.arrow_forward
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