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 11.9, Problem 116P
For the uniform beam and loading shown, determine the reaction at each support.
Fig. P11.116
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15.61 The cantilever beam BC is attached to the steel cable AB as shown.
Knowing that the cable is initially taut, determine the tension in the
cable caused by the distributed Íoad shown. Use E = 200 GPa.
-A = 255 mm2
3 m
20 kN/m
В
C
W410 X 46.1
6 m
Fig. P15.61
H
Fig. P9.78
E
9.79 and 9.80 For the uniform beam shown, determine (a) the reaction at A, (b) the reaction at B.
*****
A
Fig. P9.80
-L/2-
Answer
(a) 7 wL/128 1. (b)57 wL/128 1:9wL2/128.
C
-L/2-
B
Task 1
Determine the reactions at supports (A) and (B) which carry the conveyer beam to sustain a concentrated load of 3 kN and a
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1 m
3 kN
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2m
B
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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- Example 11.8: A three hinged arch of span 16 m has its abutments A and B at depth of 4 m and 8 m helow the crown C. The arch carries the load system as shown in Fig. 11.15. Determine the horizontal thrust and vertical reactions at supports. 100 kN 200 kN W = 30 kN/m L3 m 4 m13m 4 m H AV 8 m 6 m B Н ---- 10 m -arrow_forwardFor the beam and loading shown, determine the magnitude of the vertical reaction at A (lb) provided that a=161, b=112 and c=7.1. Do not round off in any intermediate steps. Round off only on the final answer expressed in 3 decimal places.arrow_forwardA 5 m beam is fixed at one end and pinned at other end. It is loaded a couple M at pinned end. If there is one unit rotation at the pinned connected end, EI = 1800 N.m^21. Which of the following gives the value of couple M in N.m at the pinned end? a. 1444b. 4414c. 4441d. 14142. Which of the following gives the value of vertical reaction at pinned end in N? a. 334b. 434c. 443d. 3443. Which of the following gives the value of moment at fixed end in N.m.? a. 334b. 434c. 443d. 344arrow_forward
- PROBLEM 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_forwardFor the beam and loading shown, determine the magnitude or the vertical reaction at A (I) provided that a=159, D=105 and C=6.2 Do not round off in any intermediate steps. Round off only on the final answer expressed in 3 decimal places.arrow_forwardThe load on the beam shown increases uniformly from 0 at point A to w = 63 N/m at point B over a length of L= 26 meters. Determine the magnitude of the support reaction at point B. Carrow_forward
- For the uniform beam shown, determine (a) the reaction at A, (b) the reaction at B.arrow_forwardDetermine the slope and deflection at D for the beam and loading shown (Fig. 8.33), knowing that the flexural rigidity of the beam is EI = 100 MN m². A 150 kN 2 m D Fig. 8.33 20 kN/m -8 m- Barrow_forwardCantilever beam has fixed support at the point A as shown in Fig. 4. Determine the component of the support reaction at that point (A). 6 kN 30° 130° 1.5 m 4 kN -1.5 m–+1.5 m→ Fig.4arrow_forward
- Problem 6 For the beam and loading shown, (a) draw the shear and bending moment diagrams, (b) determine the equations of the shear and bending moment curves, (c) determine the maximum absolute value of the shear and bending moment. A 750 lb 750 lb ↓ ↓ 150 lb/ft D 4 ft Barrow_forwardFor the beam and loading shown, determine the vertical reaction at A (lb) provided that a=190, b=104, c=10 and d=5. Round off only on the final answer expressed in 3 decimal places.arrow_forwardFor the beam and loading shown, determine the vertical reaction at B (lb) provided that a=190, b=104, c=10 and d=5. Round off only on the final answer expressed in 3 decimal places.arrow_forward
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