MECHANICS OF MATERIALS
11th Edition
ISBN: 9780137605385
Author: HIBBELER
Publisher: PEARSON
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Chapter 4.2, Problem 8P
To determine
The magnitude of force P .
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The 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.
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.
The assembly consists of two 10-mm diameter red brass C83400 copper rods AB and CD, a 15-mm diameter 304 stainless steel rod EF, and a rigid bar G. If the horizontal displacement of end F of rod EF is 0.45 mm, determine thethe magnitude of P.
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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- 3. 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_forwardsectional area of Arod = 0.75 in². If a load of P = 24 kip is applied to the end of rod, determine the required stiffness of the spring so that the displacement of end A is 0.43 inches. Express your answer in kip/in, to the nearest whole number.arrow_forwardneed asap pleasearrow_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_forwardSolve Prob. 7.29 if =0.arrow_forwardThe assembly consists of two 10-mm diameter red brass C83400 copper rods AB and CD, a 15-mm diameter 304 stainless steel rod EF, and a rigid bar G. If P = 5 kN, determine the horizontal displacement of end F of rod EF.arrow_forward
- Someone already solved this and the answr is .0212 and -0.025. My question is is it okay to solve this even if it is not in equilibrium? Why?arrow_forwardFor the composite solid shaft comprised of the 149 mm-diameter Shaft AB and the 42 mm-diameter shaft BC, both of which are made of the same materia determine the support reaction at the fixed support A, if the shaft is loaded with F=6.9 kN given the lengths a=1 m and b=6.8 m. B 0.5F A 0.5F O 4.480 kN O 11.133 kN O 0.080 kN O 6.015 kN O 0.885 kN O 0.070 kNarrow_forward04. The steel bars AC and BC, each of cross-sectional area 120 mm2, are joined at C with a pin. Determine the displacement of point C caused by the 15-kN load. Use E = 200 GPa for steel. 35 SUMMARY OF ANSWERS 2.5 m 25m Yc mm C $15 kN 5 / 1arrow_forward
- Both portions of the rod ABC are made of an aluminum for which E = 70 GPa. What is the corresponding displacement at B in millimeter if P = 57 kN and Q = 397 kN?arrow_forwardProblem 2 The series of bars shown have their diameters from left to right decreasing by 3 mm, and lengths increasing correspondingly by 0.3 m. If the leftmost member has a diameter and length of 28 mm, 1.8 m, respectively, determine the nodal displacements, member forces and the value of P if the node where P acts undergoes a rightward displacement of 4.5 mm. E=180 GPa for all members. Use your calculator. 90 N/mm 45 N/mm 60 N/mm 30 KN -50 KNarrow_forwardPlease answer hand writtenarrow_forward
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