Mechanics of Materials
9th Edition
ISBN: 9780133254426
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Textbook Question
Chapter 14, Problem 14.153RP
The truss is made from A992 steel rods each having a diameter of 1 in.
R14–7/8
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The rods AB and CD are made of steel. Determine their smallest diameter so that they can support the dead loads shown. The beam is assumed to be pin connected at A and C. Use the LRFD method, where the resistance factorfor steel in tension is f = 0.9, and the dead load factor is gD = 1.4. The failure stress is sfail = 345 MPa.
400 mm
A 992 steel
800 mm
50 mm
2014-T6 aluminum alloy
Section a-a
The 2014-T6 aluminium rod AC is reinforced with the firmly bonded A992 steel tube BC. The assembly
fits snugly between the rigid supports so that there is no gap at C. An axial force of P=445 kN is
applied. The assembly is attached at D.
Determine the support reaction at CC.
Express your answer to three significant figures and include appropriate units.
Determine the longest length of a W8 * 31 structural A992 steel section if it is pin supported and is subjected to an axial load of 18 kip. Use the AISC equations.
Chapter 14 Solutions
Mechanics of Materials
Ch. 14.2 - A material is subjected to a general state of...Ch. 14.2 - The strain-energy density for plane stress must be...Ch. 14.2 - 14–3. Determine the strain energy in the stepped...Ch. 14.2 - Prob. 14.4PCh. 14.2 - Using bolts of the same material and...Ch. 14.2 - If P = 60 kN, determine the total strain energy...Ch. 14.2 - Determine the maximum force P and the...Ch. 14.2 - *14–8. Determine the torsional strain energy in...Ch. 14.2 - Determine the torsional strain energy in the A-36...Ch. 14.2 - The shaft assembly is fixed at C. The hollow...
Ch. 14.2 - Prob. 14.11PCh. 14.2 - If P = 10 kip, determine the total strain energy...Ch. 14.2 - Determine the maximum force P and the...Ch. 14.2 - Prob. 14.14PCh. 14.2 - 14–15. Determine the bending strain energy stored...Ch. 14.2 - Prob. 14.16PCh. 14.2 - Prob. 14.17PCh. 14.2 - 14–18. Determine the bending strain energy stored...Ch. 14.2 - Prob. 14.19PCh. 14.2 - Prob. 14.20PCh. 14.2 - Prob. 14.21PCh. 14.2 - 14–22. Determine the bending strain energy in the...Ch. 14.2 - Determine the bending strain energy in the...Ch. 14.2 - Determine the bending strain energy in the simply...Ch. 14.3 - 14–25. Determine the horizontal displacement of...Ch. 14.3 - Prob. 14.26PCh. 14.3 - 14–27. Determine the horizontal displacement of...Ch. 14.3 - *14–28. Determine the vertical displacement of...Ch. 14.3 - 14–29. Determine the displacement of point B on...Ch. 14.3 - Determine the vertical displacement of end B of...Ch. 14.3 - Determine the vertical displacement of point S on...Ch. 14.3 - EI is constant. Prob. 1432Ch. 14.3 - The A992 steel bars are pin connected at C and D....Ch. 14.3 - The A992 steel bars are pin connected at C. If...Ch. 14.3 - Determine the slope of the beam at the pin support...Ch. 14.3 - Prob. 14.36PCh. 14.3 - Prob. 14.37PCh. 14.3 - Prob. 14.38PCh. 14.3 - Prob. 14.39PCh. 14.3 - Prob. 14.40PCh. 14.3 - Determine the vertical displacement of end B of...Ch. 14.4 - A bar is 4 m long and has a diameter of 30 mm....Ch. 14.4 - Determine the diameter of a red brass C83400 bar...Ch. 14.4 - Prob. 14.44PCh. 14.4 - The collar has a weight of 50 lb and falls down...Ch. 14.4 - The collar has a weight of 50 lb and falls down...Ch. 14.4 - Prob. 14.47PCh. 14.4 - Prob. 14.48PCh. 14.4 - Prob. 14.49PCh. 14.4 - Prob. 14.50PCh. 14.4 - 14-51. Rods AB and AC have a diameter of 20 mm and...Ch. 14.4 - Prob. 14.52PCh. 14.4 - The composite aluminum 2014T6 bar is made from two...Ch. 14.4 - The composite aluminum 2014-T6 bar is made from...Ch. 14.4 - When the 100-lb block is at h = 3 ft above the...Ch. 14.4 - Prob. 14.56PCh. 14.4 - Prob. 14.57PCh. 14.4 - The tugboat has a weight of 120 000 lb and is...Ch. 14.4 - Prob. 14.59PCh. 14.4 - The weight of 175 lb is dropped from a height of 4...Ch. 14.4 - The weight of 175 lb, is dropped from a height of...Ch. 14.4 - Prob. 14.62PCh. 14.4 - Prob. 14.63PCh. 14.4 - Prob. 14.64PCh. 14.4 - * 14-65. Determine the maximum height h from which...Ch. 14.4 - Prob. 14.66PCh. 14.4 - The overhang beam is made of 2014T6 aluminum....Ch. 14.4 - If the beam is a W1015, determine the maximum...Ch. 14.4 - If the maximum allowable bending stress for the...Ch. 14.4 - A 40-lb weight is dropped from a height of h = 2...Ch. 14.4 - The car bumper is made of...Ch. 14.6 - Determine the vertical displacement of joint A....Ch. 14.6 - Determine the horizontal displacement of joint B....Ch. 14.6 - Determine the vertical displacement of joint B....Ch. 14.6 - Determine the vertical displacement of joint B....Ch. 14.6 - Determine the vertical displacement of joint E....Ch. 14.6 - Prob. 14.77PCh. 14.6 - Prob. 14.78PCh. 14.6 - Determine the horizontal displacement of joint B...Ch. 14.6 - Determine the vertical displacement of joint C of...Ch. 14.6 - 14-81. Determine the horizontal displacement of...Ch. 14.6 - 14-82. Determine the horizontal displacement of...Ch. 14.6 - Determine the vertical displacement of joint A....Ch. 14.6 - The truss is made from A992 steel rods having a...Ch. 14.6 - 14-85. Determine the vertical displacement of...Ch. 14.6 - 14-86. Determine the vertical displacement of...Ch. 14.7 - Determine the displacement at point C. El is...Ch. 14.7 - The beam is made of southern pine for which Ep =...Ch. 14.7 - Determine the displacement at point C. El is...Ch. 14.7 - Determine the slope at point C. El is constant....Ch. 14.7 - Determine the slope at point A. El is constant....Ch. 14.7 - Determine the displacement of point C of the beam...Ch. 14.7 - Determine the slope at B of the beam made from...Ch. 14.7 - The beam is made of Douglas fir. Determine the...Ch. 14.7 - Determine the displacement at pulley B. The A992...Ch. 14.7 - The A992 steel beam has a moment of inertia of I =...Ch. 14.7 - The A992 steel beam has a moment of inertia of I =...Ch. 14.7 - The A992 structural steel beam has a moment of...Ch. 14.7 - Determine the displacement at point C of the...Ch. 14.7 - Determine the slope at A of the shaft. El is...Ch. 14.7 - Determine the slope of end C of the overhang beam....Ch. 14.7 - Determine the displacement of point D of the...Ch. 14.7 - Determine the slope at A of the 2014T6 aluminum...Ch. 14.7 - Prob. 14.104PCh. 14.7 - Prob. 14.105PCh. 14.7 - Determine the displacement at point C of the W14 ...Ch. 14.7 - Determine the slope at A of the W14 26 beam made...Ch. 14.7 - Determine the slope at A. El is constant. Prob....Ch. 14.7 - Determine the slope at C of the overhang white...Ch. 14.7 - Determine the displacement at point D of the...Ch. 14.7 - Determine the maximum deflection of the beam...Ch. 14.7 - Prob. 14.112PCh. 14.7 - Determine the slope of the shaft at the bearing...Ch. 14.7 - Prob. 14.114PCh. 14.7 - Beam AB has a square cross section of 100 mm by...Ch. 14.7 - Beam AB has a square cross section of 100 mm by...Ch. 14.7 - Bar ABC has a rectangular cross section of 300 mm...Ch. 14.7 - Bar ABC has a rectangular cross section of 300 mm...Ch. 14.7 - The L-shaped frame is made from two segments, each...Ch. 14.7 - The L-shaped frame is made from two segments, each...Ch. 14.7 - Prob. 14.121PCh. 14.7 - Prob. 14.122PCh. 14.9 - Solve Prob. 1473 using Castiglianos theorem. 1473....Ch. 14.9 - Solve Prob. 1474 using Castiglianos theorem. 1474....Ch. 14.9 - Prob. 14.125PCh. 14.9 - Prob. 14.126PCh. 14.9 - Prob. 14.127PCh. 14.9 - Prob. 14.128PCh. 14.9 - Prob. 14.129PCh. 14.9 - Prob. 14.130PCh. 14.9 - Prob. 14.131PCh. 14.9 - *14-132. Solve Prob. 14-86 using Castigliano’s...Ch. 14.10 - Solve Prob. 1490 using Castiglianos theorem. 1490....Ch. 14.10 - Solve Prob. 1491 using Castiglianos theorem. 1491....Ch. 14.10 - Prob. 14.135PCh. 14.10 - Solve Prob. 1493 using Castiglianos theorem. 1493....Ch. 14.10 - Solve Prob. 1495 using Castiglianos theorem. 1495....Ch. 14.10 - Solve Prob. 1496 using Castiglianos theorem. 1496....Ch. 14.10 - Prob. 14.139PCh. 14.10 - Prob. 14.140PCh. 14.10 - Prob. 14.141PCh. 14.10 - Solve Prob. 14119 using Castiglianos theorem....Ch. 14.10 - Prob. 14.143PCh. 14.10 - Prob. 14.144PCh. 14.10 - Prob. 14.145PCh. 14 - A = 2300 mm2, I = 9.5(106) mm4. R141Ch. 14 - If the spring at B has a stiffness k = 200 kN/m....Ch. 14 - The spring at B has a stiffness k = 200 kN/m....Ch. 14 - If they each have a diameter of 30 mm, determine...Ch. 14 - and a length of 10 in. It is struck by a hammer...Ch. 14 - Determine the total axial and bending strain...Ch. 14 - The truss is made from A992 steel rods each having...Ch. 14 - The truss is made from A992 steel rods each having...Ch. 14 - El is constant. Use the method of virtual work....Ch. 14 - using Castiglianos theorem. R149. The cantilevered...
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- The W10 * 12 structural A-36 steel column is used to support a load of 4 kip. If the column is ixed at its base and free at its top, determine the maximum stress in the column due to this loading.arrow_forwardThe rigid beam is supported by a pin at C and an A-36 steel guy wire AB. Part A If the wire has a diameter of 0.2 in., determine the distributed load w if the end B is displaced 0.25 in. downward. Express your answer to three significant figures. ΠΑΣΦ W = vec ? kip ft W -10 ft 30° Barrow_forwardDetermine the largest length of a W10 * 12 structural A992 steel section if it is pin supported and is subjected to an axial load of 28 kip. Use the AISC equations.arrow_forward
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