Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Chapter 4.2, Problem 3P
The A-36 steel rod is subjected to the loading shown. If the cross-sectional area of the rod is
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The assembly below consists of a steel rod CB and an aluminium rod BA, each having a diameter of 12 mm.
If the rod is subjected to the axial loadings at A and at the coupling B, determine the displacement of the coupling B and the end A.
The unstretched length of each segment is shown below. Neglect the size of the connections at B and C, and assume that they are rigid. Est = 200 GPa, Eal = 70 GPa.
The rigid bar AB and CD are supported by pins at A and D. the vertical rods are made of aluminum and bronze. Determine the vertical displacement of the point where the force P= 10 kips is applied. Neglect the weight of the members.
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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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- If P = 4.1 kN , determine the horizontal displacement of end F of rod EF.arrow_forwardThe rod is pinned at its end A and attached to a torsional spring having a stiffness k, which measures the torque per radian of rotation of the spring. If a force P is always applied perpendicular to the end of the rod, determine the displacement of the force. EI is constant.arrow_forwardThe steel bars AC and BC, each of cross-sectional area 120 mm2, are joined at C with a Determine the displacement of point C caused by the 15-kN load. Use E = 200 GPa for steel.arrow_forward
- 02:27 MENG360 - C... Problems (8th edition): 4.4 - 4.6 – 4.14 - 4.19 1 *4-4. The A-36 steel rod is subjected to the loading shown. If the cross-sectional area of the rod is 50 mm², determine the displacement of C. Neglect the size of the couplings at B, C, and D. 1m 1.5 m –1.25 m · ÞA 9 kN B C 4 kN D 2 kN 4-6. The bar has a cross-sectional area of 3 in?, and E = 35(10) ksi. Determine the displacement of its end A when it is subjected to the distributed loading.arrow_forward4-2. The copper shaft is subjected to the axial loads shown. Determine the displacement of end A with respect to end D if the diameters of each segment are dAB = 20 mm, dBc=25 mm, and dcp=12 mm. Take Ecu= 126 GPa. Ans: = 3.46 mm away from end D. + 2 m 3.75 m 2.5 m 22.5 kN 9 kN 36 kN 27 kN A 22.5 kN B C 9 kNarrow_forwardThe assembly consists of a 30mm diameter aluminum bar ABC with fixed collar at B and a 10mm diameter steel rod CD. Determine the displacement of point D when the assembly is loaded as shown. Neglect the size of the collar at B and the connection at C. Modules of elasticity for steel= 200GPA and for aluminum =70GPAarrow_forward
- The two shafts are made of A-36 steel. Each has a diameter of 25 mm and they are connected using the gears fixed to their ends. Their other ends are attached to fixed supports at A and B. They are also supported by journal bearings at C and D, which allow free rotation of the shafts along their axes. If a torque of 500 N.m is applied to the gear at E as shown, determine the reactions at A and B.arrow_forwardThe 20 mm diameter steel shaft AB is attached into the rigid wall at B and supported by a smooth bearing at A. The lever AC is welded to the end of the shaft. If the downward force P will produce a 50 mm vertical displacement at the free end of lever AC, determine the force P if G = 83 GPa.arrow_forwardThe bearings at A and B exert only x and z components of force on the steel shaft. Determine the shaft's diameter to the nearest millimeter so that it can resist the loadings of the gears without exceeding an allowable shear stress of 60 MPa. Use the maximum-shear-stress theory of failure.arrow_forward
- Solve Prob. 7.29 if =0.arrow_forwardF4. If the 20-mm-diameter rod is made of A-36 steel and the stiffness of the spring is k=s0 MN/m, determine the displacement of end A when the 60-kN force is applied. a mm. Sk - 50 MN m a0 mm 100KNarrow_forward3. The rigid bars AB and CD are supported by pins at A and D. The vertical rods are made of aluminum and bronze. Determine the vertical displacement of the point where the force P = 10 kips is applied. Neglect the weights of the members. Aluminum L= 4 f A=0.75 in. E= 10x 10 psi B 4 ft Bronze L= 5 A A=0.25 in.? E= 12x 10 psi 2 ft--2 ft-→arrow_forward
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