EBK MECHANICS OF MATERIALS
7th Edition
ISBN: 8220102804487
Author: BEER
Publisher: YUZU
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Textbook Question
Chapter 11.9, Problem 91P
For the beam and loading shown, determine the deflection of point B. Use E = 29 × 106 psi.
Fig. P11.91 and P11.92
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D
Fig. P11.71
11.72 Each member of the truss shown is made of steel and has a cross-
sectional area of 400 mm². Using E200 GPa, determine the
deflection of point D caused by the 16-kN load.
11.73 Each member of the truss shown is made of steel and has a cross-
sectional aves of 5 in² Haing F = 20 × 106 vi
16 kN
Hi
D11 72
1.5 m
B
E
0.8 m
Problem 14.2. Determine the maximum deflection of the cantilevered beam. The beam is made of
material having E = 200 GPa and I= 65.0*10° mm.
15kN
30 kN/m
M
RA
-1.5 m
1.5 m-
R =37.5kN; M =67.5kNm
For the beam and loading indicated, determine the magnitude and location of the largest downward deflection. Use E= 1.67 × 106 psi
and h = 5.5 in.
2 kips
1.75 ft 1.75 ft
350 lb/ft
-3.5 ft
D
3.5 in.
h
The magnitude of the largest downward deflection is
The location of the largest downward deflection is
ft.
in.
Chapter 11 Solutions
EBK MECHANICS OF MATERIALS
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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- Both portions of the rod ABC are made of an aluminum for which E = 70.4GPa. Knowing that the magnitude of Q is 31876 N, m = 0.35 m, and n = 0.55 m, determine the value of P (in N) so that the deflection at A is zero.arrow_forwardA 22MM DIAMETER ROD BC IS ATTACHED TO THE LEVER AB AND TO THE FIXED SUPPORT AT C. LEVER AB HAS A UNIFORM CROSS SECTION 9.5 MM THICK AND 25 MM DEEP. FOR THE LOADING SHOWN, DETERMINE THE DEFLECTION OF POINT A. USE E = 200 GPA AND G = 112 MPA. 360 N 500 mm 250 mm Barrow_forwardCorrect solutionarrow_forward
- Problem 1: Determine the horizontal and vertical deflections at B of the truss. 10 ft D 5 ft (4 in.²) (6 in.²) 20 k E 20 ft E 10,000 ksi (6 in.) Problem 2: Determine the smallest cross-sectional area A for the members of the truss shown, so that the vertical deflection at B does not exceed 0.4 inches. 10 k B 2 at 6 ft 12 ft EA= constant E = 1,600 ksi a-6.5 (10 F 10 k H B 45 k F Problem 3: Determine the vertical deflection at G of the truss due to a temperature increase of 65°F in AB, BC, CD, and DE, and a temperature drop of 20°F in FG and GH. 4 at 12 ft 48 t 3 ft 12 ftarrow_forward11.22 (B). Determine the vertical deflection of point A on the bent cantilever shown in Fig. 11.29 when loaded at A with a vertical load of 25 N. The cantilever is built in at B, and El may be taken as constant throughout and equal to 450 N m?. [B.P.] [0.98 mm.] B. 125 mm rad. -125mm A 25Narrow_forwardPROBLEM 9.15 Mg = 60 kN m For the beam and loading shown, determine the deflection at point C. Use E = 200 GPa. W200 x 35.9 a = 1.2 m -L =4.8 m Yc = = 6.28 mm Tarrow_forward
- Beam AD rests on beam EF as shown. Knowing that a W12 × 26 rolled-steel shape is used for each beam, determine for the loading shown the deflection at points B and C. Use E = 29 × 10 psi. 20 kips 20 kips E 000 B 3 ft 3 ft3 ft3 ft ANS. = YB 0.210 in. ;yc = 0.1709 in. ↓. D Farrow_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_forwardPROBLEM 9.14 For the beam and loading shown, knowing that a=2 m, w= 50 kN/m. and E = 200 GPa, determine (a) the slope at support A, (b) the deflection at point C. W310 x 38.7 L = 6 m- e = 8.18 x 10 rad Yc =11.78 mmarrow_forward
- 3.2 kN 300 mm B 75 mm A 9.77 The steel bars BE and AD each have a 6 × 18-mm cross section. Knowing that E = 200 GPa, determine the deflections of points A, B, and C of the rigid bar ABC. 400 mm-+400 mm Fig. P9.77arrow_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_forwardEach of the links AB and CD is made of aluminum (E = 75GPa) and has a cross-section area if 125 mm2. Knowing that they support therigid member BC, determine the deflection of point E.arrow_forward
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