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 11.5, Problem 53P
The 10-kg block D is dropped from a height h = 450 mm onto the aluminum beam AB. Knowing that E = 70 GPa, determine (a) the maximum deflection of point E, (b) the maximum stress in the beam.
Fig. P11.53
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Q6 The 2 kg block D is dropped from the position shown onto the end of a 16 mm diameter rod.
Knowing that E = 200 GPa, determine (a) the maximum deflection of end A, (b) the maximum
bending moment in the rod, and (c) the maximum normal stress in the rod.
[Ans. 23.6 mm; 63.38 Nm; 157.6 MPa]
40 mm
D
2 kg
A
0.6 m
B
ΟΙ ΟΙΟΙ
0.6 m
C
Suggestion: use energy methods (Week 5) to find static deflection
The rod ABC is made of an aluminum for which E = 71.15 GPa. Knowing that P=10.2 kN and Q=51.62kN, determine the deflection (in um) of point B y=0.46 and z=0.56. Round off the final answer in four decimal places.
The rod ABC is made of an aluminum for which E = 71.4 GPa. Knowing that P = 7.94 kNand Q = 49.88 kN,determine the deflection (in μm) of point B if y = 0.47 and z = 0.54. Round off the final answer in four decimal places.
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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- Q5 The 2 kg block D is dropped from the position shown onto the end of a 16 mm diameter rod. Knowing that E = 200 GPa, determine (a) the maximum deflection of end A, (b) the maximum bending moment in the rod, and (c) the maximum normal stress in the rod. [Ans. 15.63mm; 83.8 Nm; 208 MPa] 40 mm D ☐ 2 kg A 0.6 m B Astatic = FL³ 3EIarrow_forwardQ1) For the beam with the loading shown, determine the deflection at the center c of the beam. Knowing that the beam is made of steel for which E 200 GPa, and it has a rectangular cross- section of (200 mm x 100 mm). 20 KN 20 KN 100 D 0.75 m 1.2 m Cuf 1m B 200arrow_forwardThe length of 2 mm diameter steel wire CD has been adjustedso that with no load is applied, a gap of 1.5 mm exists between the end B ofthe rigid beam ACB and a contact point E. Knowing that E = 200 GPa,determine where a 20 kg block should be placed on the beam in order tocause contact between B and E.arrow_forward
- Both portions of the rod ABC are made out of an aluminum forwhich E = 70 GPa. Knowing that the magnitude of P is 4 kN, determine (a)the value of Q so that the deflection at A is zero, (b) the correspondingdeflection of B.arrow_forwardThree bars, two made of aluminum and one made of steel, support a rigid block. An object of weight W is dropped vertically from a distance h above the rigid block. Both steel and aluminum bars have cross-sectional area of 50 mm2 and length of 0.5 m. The elastic moduli for the aluminum and steel are 76 GPa and 184 GPa, respectively. a) If W=1000N and h=0.1m, determine whether the three bars are still safe to perform. b) If h=0.2m, determine the maximum weight that can be dropped without causing failure to the barsarrow_forwardThe length of the 2-mm diameter steel wire CD has been adjusted so that with no load applied, a gap of 1.5mm exists between the end B of the rigid beam ACB and a contact point E. knowing that E = 200 GPa, determine where a 20-kg block should be placed on the beam in order to cause contact between B and E. D 0.23 m 20 kg B с 0.08 m 0.32 marrow_forward
- TWO CYLINDRICAL ROPS, AC MADE OF ALUMINUM AND CO MADE OF STEEL, ARE JOINED AT C ARE RESTRAINED BY RIGID SUPPORTS AT A AND D. FOR THE LOADING SHOWN AND KNOWING THAT Ea = 10.4 x 106 psi AND = 29 x 10⁰ psi, AND D₁ (6) THE DEFLECTION 6 DETERMINE (a) THE REACTIONS AT A OF POINT C. 18in A Be 18 kips 10 in 11 in DIAMETER с 10 in →→→→ 0 14 kips 15 in. DIAMETER 8arrow_forwardBoth portions of the rod ABC are made of an aluminum for which E = 69.9GPA. Knowing that the magnitude of Q is 32314 N, m = 0.37 m, and n = 0.54 m, determine the value of P (in N) so that the deflection at A is zero. Express your answer in four decimal places. ... A 20-mm diameter 60-mm diameterarrow_forwardConsider the beam and loading shown. Knowing that d = 1.19 in. and E = 29 × 106 psi, determine the magnitude and location of the largest downward deflection. (Round the final answers to three decimal places.) The location of the largest downward deflection is xm = in. The magnitude of the largest downward deflection is in. ↓.arrow_forward
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