Mechanics of Materials
9th Edition
ISBN: 9780133254426
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Chapter 14, Problem 14.150RP
and a length of 10 in. It is struck by a hammer that weighs 3 lb, and at the instant of impact it is moving at 12 ft/s. Determine the maximum compressive stress in the chisel, assuming that 80% of the impacting energy goes into the chisel. Est = 29(103) ksi, σy = 100 ksi.
R14–5
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The steel chisel has a diameter of 0.5 in. and a length of 10 in. It is struck by a hammer that weighs 3 lb, and at the instant of the impact it is moving at 12 ft>s. Determine the maximum compressive stress in the chisel, assumingthat 80% of the impacting energy goes into the chisel. Est = 29(103) ksi, sY = 100 ksi
The shaft is made of A992 steel and has an allowable shear stress of 95 MPa. When the shaft is
rotating at 420 rpm, the motor supplies 11 kW of power, while gears A and B withdraw 7 kW
and 4 kW, respectively. Determine the required minimum diameter of the shaft to the nearest
millimeter. Also, find the rotation of gear A relative to C. (G=75 GPa)
a. D=50.9589mm; 0.000004 rad
b. D=50.9589mm; 0.0369 rad
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300 mm
d. D=26mm; 0.0369rad
e. None of the above
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B
The five bolt connection must support an applied load of P = 2000 lb. If the average shear stress in the bolts must be limited to 32 ksi, determine the minimum bolt diameter that may be used for this connection.
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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