Mechanics of Materials, 7th Edition
7th Edition
ISBN: 9780073398235
Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David F. Mazurek
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 11.3, Problem 31P
11.30 and 11.31 Using E = 200 GPa, determine the strain energy due to bending for the steel beam and loading shown. (Neglect the effect of shearing stresses.)
Fig. P11.31
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Plot the shear-stress distribution over the cross section of a rod that has a radius c. By what factor is the maximum shear stress greater than the average shear stress acting over the cross section?
PART 1
My answer
Ay=14.38
Cy=13.62
Part 2
Determine the shear force acting at each of the following locations:
(a) x = 4.25- (i.e., just to the left of point B.)
(b) x = 4.25+ (i.e., just to the right of point B.)
(c) x = 9.25-(i.e., just to the left of point C)
(d) x = 9.25+ (i.e., just to the right of point C)
My Answer:
(a) V= 14.38 kN
(b) V= 14.38 kN
(c) V= 14.38 kN
(d) V= 28 kN
Part 3
Determine the bending-moment acting at each of the following locations:
(a) x = 4.25-(i.e.. just to the left of point B.)
(b) x = 4.25+ (i.e.. just to the right of point B.)
(c) x = 9.25 m (i.e., at support C)
(d) x = 8.25 m
My Answer:
(a) M= 61.115kN-m
(b) M= -148.885 kN-m
(c) M= -76.985 kN-m
(d) M= -91.365 kN-m
Part 4:
Use your bending-moment diagram to determine the maximum positive bending moment, Mmax, pos, and the maximum negative bending moment, Mmax, neg. Use the bending-moment sign convention detailed in Section 7.2. The maximum negative bending moment is the negative moment with…
A semicircular rod of weight W and uniform cross section is supported as shown. Determine the bending moment at point J w hen 0=60°.Fig. P7.23
Chapter 11 Solutions
Mechanics of Materials, 7th Edition
Ch. 11.3 - Determine the modulus of resilience for each of...Ch. 11.3 - Determine the modulus of resilience for each of...Ch. 11.3 - Determine the modulus of resilience for each of...Ch. 11.3 - Determine the modulus of resilience for each of...Ch. 11.3 - The stress-strain diagram shown has been drawn...Ch. 11.3 - The stress-strain diagram shown has been drawn...Ch. 11.3 - Prob. 7PCh. 11.3 - Prob. 8PCh. 11.3 - Using E = 29 106 psi, determine (a) the strain...Ch. 11.3 - Using E = 200 GPa, determine (a) the strain energy...
Ch. 11.3 - A 30-in. length of aluminum pipe of...Ch. 11.3 - A single 6-mm-diameter steel pin B is used to...Ch. 11.3 - Prob. 13PCh. 11.3 - Prob. 14PCh. 11.3 - The assembly ABC is made of a steel for which E =...Ch. 11.3 - Show by integration that the strain energy of the...Ch. 11.3 - Prob. 17PCh. 11.3 - Prob. 18PCh. 11.3 - Prob. 19PCh. 11.3 - 11.18 through 11.21 In the truss shown, all...Ch. 11.3 - Prob. 21PCh. 11.3 - Each member of the truss shown is made of aluminum...Ch. 11.3 - Each member of the truss shown is made of aluminum...Ch. 11.3 - 11.24 through 11.27 Taking into account only the...Ch. 11.3 - Prob. 25PCh. 11.3 - 11.24 through 11.27 Taking into account only the...Ch. 11.3 - 11.24 through 11.27 Taking into account only the...Ch. 11.3 - Prob. 28PCh. 11.3 - Prob. 29PCh. 11.3 - Prob. 30PCh. 11.3 - 11.30 and 11.31 Using E = 200 GPa, determine the...Ch. 11.3 - Assuming that the prismatic beam AB has a...Ch. 11.3 - Prob. 33PCh. 11.3 - The design specifications for the steel shaft AB...Ch. 11.3 - Show by integration that the strain energy in the...Ch. 11.3 - The state of stress shown occurs in a machine...Ch. 11.3 - Prob. 37PCh. 11.3 - The state of stress shown occurs in a machine...Ch. 11.3 - Prob. 39PCh. 11.3 - Prob. 40PCh. 11.3 - Prob. 41PCh. 11.5 - A 5-kg collar D moves along the uniform rod AB and...Ch. 11.5 - The 18-lb cylindrical block E has a horizontal...Ch. 11.5 - The cylindrical block E has a speed v0 =16 ft/s...Ch. 11.5 - Prob. 45PCh. 11.5 - Prob. 46PCh. 11.5 - The 48-kg collar G is released from rest in the...Ch. 11.5 - Prob. 48PCh. 11.5 - Prob. 49PCh. 11.5 - Prob. 50PCh. 11.5 - Prob. 51PCh. 11.5 - The 2-kg block D is dropped from the position...Ch. 11.5 - The 10-kg block D is dropped from a height h = 450...Ch. 11.5 - Prob. 54PCh. 11.5 - A 160-lb diver jumps from a height of 20 in. onto...Ch. 11.5 - Prob. 56PCh. 11.5 - A block of weight W is dropped from a height h...Ch. 11.5 - 11.58 and 11.59 Using the method of work and...Ch. 11.5 - 11.58 and 11.59 Using the method of work and...Ch. 11.5 - 11.60 and 11.61 Using the method of work and...Ch. 11.5 - 11.60 and 11.61 Using the method of work and...Ch. 11.5 - 11.62 and 11.63 Using the method of work and...Ch. 11.5 - 11.62 and 11.63 Using the method of work and...Ch. 11.5 - Using the method of work and energy, determine the...Ch. 11.5 - Using the method of work and energy, determine the...Ch. 11.5 - The 20-mm diameter steel rod BC is attached to the...Ch. 11.5 - Torques of the same magnitude T are applied to the...Ch. 11.5 - Prob. 68PCh. 11.5 - The 20-mm-diameter steel rod CD is welded to the...Ch. 11.5 - The thin-walled hollow cylindrical member AB has a...Ch. 11.5 - 11.71 and 11.72 Each member of the truss shown has...Ch. 11.5 - 11.71 and 11.72 Each member of the truss shown has...Ch. 11.5 - Each member of the truss shown is made of steel...Ch. 11.5 - Each member of the truss shown is made of steel....Ch. 11.5 - Each member of the truss shown is made of steel...Ch. 11.5 - The steel rod BC has a 24-mm diameter and the...Ch. 11.9 - 11.77 and 11.78 Using the information in Appendix...Ch. 11.9 - 11.77 and 11.78 Using the information in Appendix...Ch. 11.9 - 11.79 through 11.82 For the beam and loading...Ch. 11.9 - 11.79 through 11.82 For the beam and loading...Ch. 11.9 - 11.79 through 11.82 For the beam and loading...Ch. 11.9 - 11.79 through 11.82 For the beam and loading...Ch. 11.9 - 11.83 through 11.85 For the prismatic beam shown,...Ch. 11.9 - 11.83 through 11.85 For the prismatic beam shown,...Ch. 11.9 - 11.83 through 11.85 For the prismatic beam shown,...Ch. 11.9 - 11.86 through 11.88 For the prismatic beam shown,...Ch. 11.9 - 11.86 through 11.88 For the prismatic beam shown,...Ch. 11.9 - 11.86 through 11.88 For the prismatic beam shown,...Ch. 11.9 - For the prismatic beam shown, determine the slope...Ch. 11.9 - For the prismatic beam shown, determine the slope...Ch. 11.9 - For the beam and loading shown, determine the...Ch. 11.9 - For the beam and loading shown, determine the...Ch. 11.9 - 11.93 and 11.94 For the beam and loading shown,...Ch. 11.9 - 11.93 and 11.94 For the beam and loading shown,...Ch. 11.9 - For the beam and loading shown, determine the...Ch. 11.9 - For the beam and loading shown, determine the...Ch. 11.9 - Prob. 97PCh. 11.9 - For the beam and loading shown, determine the...Ch. 11.9 - 11.99 and 11.100 For the truss and loading shown,...Ch. 11.9 - 11.99 and 11.100 For the truss and loading shown,...Ch. 11.9 - 11.101 and 11.102 Each member of the truss shown...Ch. 11.9 - 11.101 and 11.102 Each member of the truss shown...Ch. 11.9 - 11.103 and 11.104 Each member of the truss shown...Ch. 11.9 - 11.103 and 11 104 Each member of the truss shown...Ch. 11.9 - A uniform rod of flexural rigidity EI is bent and...Ch. 11.9 - For the uniform rod and loading shown and using...Ch. 11.9 - For the beam and loading shown and using...Ch. 11.9 - Two rods AB and BC of the same flexural rigidity...Ch. 11.9 - Three rods, each of the same flexural rigidity EI,...Ch. 11.9 - Three rods, each of the same flexural rigidity EI,...Ch. 11.9 - 11.111 through 11.115 Determine the reaction at...Ch. 11.9 - 11.111 through 11.115 Determine the reaction at...Ch. 11.9 - 11.111 through 11.115 Determine the reaction at...Ch. 11.9 - 11.111 through 11.115 Determine the reaction at...Ch. 11.9 - 11.111 through 11.115 Determine the reaction at...Ch. 11.9 - For the uniform beam and loading shown, determine...Ch. 11.9 - 11.117 through 11.120 Three members of the same...Ch. 11.9 - 11.117 through 11.120 Three members of the same...Ch. 11.9 - 11.117 through 11.120 Three members of the same...Ch. 11.9 - 11.117 through 11.120 Three members of the same...Ch. 11.9 - 11.121 and 11.122 Knowing that the eight members...Ch. 11.9 - 11.121 and 11.122 Knowing that the eight members...Ch. 11 - Rod AB is made of a steel for which the yield...Ch. 11 - Each member of the truss shown is made of steel...Ch. 11 - The ship at A has just started to drill for oil on...Ch. 11 - Collar D is released from rest in the position...Ch. 11 - Each member of the truss shown is made of steel...Ch. 11 - A block of weight W is placed in contact with a...Ch. 11 - Two solid steel shafts are connected by the gears...Ch. 11 - A 160-lb diver jumps from a height of 20 in. onto...Ch. 11 - For the prismatic beam shown, determine the slope...Ch. 11 - A disk of radius a has been welded to end B of the...Ch. 11 - A uniform rod of flexural rigidity EI is bent and...Ch. 11 - The steel bar ABC has a square cross section of...
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