EBK MECHANICS OF MATERIALS
7th Edition
ISBN: 9780100257061
Author: BEER
Publisher: YUZU
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Textbook Question
Chapter 9.4, Problem 76P
Use the method of superposition to solve the following problems and assume that the flexural rigidity El of each beam is constant.
9.76 For the cantilever beam and loading shown, determine the slope and deflection at point B. Use E = 29 × 106 psi.
Fig. P9.75 and P9.76
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PROBLEM 9.11
Mg
(a) Determine the location and magnitude of the maximum deflection of
* beam AB. (b) Assuming that beam AB is a W360 x 64, L = 3.5 m, and
E = 200 GPa, calculate the maximum allowable value of the applied
moment M, if the maximum deflection is not to exceed 1 mm.
B
= 45.3 kN · m
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 mm
PROBLEM 9.11
Mo
(a) Determine the location and magnitude of the maximum deflection of
beam AB. (b) Assuming that beam AB is a W360 x 64, L = 3.5 m, and
E = 200 GPa, calculate the maximum allowable value of the applied
moment Mo if the maximum deflection is not to excecd I mm.
Mo = 45.3 kN · m
%3D
Chapter 9 Solutions
EBK MECHANICS OF MATERIALS
Ch. 9.2 - In the following problems assume that the flexural...Ch. 9.2 - In the following problems assume that the flexural...Ch. 9.2 - In the following problems assume that the flexural...Ch. 9.2 - 9.1 through 9.4 For the loading shown, determine...Ch. 9.2 - 9.5 and 9.6 For the cantilever beam and loading...Ch. 9.2 - 9.5 and 9.6 For the cantilever beam and loading...Ch. 9.2 - For the beam and loading shown, determine (a) the...Ch. 9.2 - For the beam and loading shown, determine (a) the...Ch. 9.2 - Knowing that beam .AB is a W10 33 rolled shape...Ch. 9.2 - Knowing that beam AB is an S200 34 roiled shape...
Ch. 9.2 - For the beam and loading shown, (a) express the...Ch. 9.2 - (a) Determine the location and magnitude of the...Ch. 9.2 - For the beam and loading shown, determine the...Ch. 9.2 - Knowing that beam AE is a W360 101 rolled shape...Ch. 9.2 - For the beam and loading shown, knowing that a = 2...Ch. 9.2 - Knowing that beam AE is an S200 27.4 rolled shape...Ch. 9.2 - For the beam and loading shown, determine (a) the...Ch. 9.2 - For the beam and loading shown, determine (a) the...Ch. 9.2 - 9.19 through 9.22 For the beam and loading shown,...Ch. 9.2 - 9.19 through 9.22 For the beam and loading shown,...Ch. 9.2 - 9.19 through 9.22 For the beam and loading shown,...Ch. 9.2 - 9.19 through 9.22 For the beam and loading shown,...Ch. 9.2 - For the beam shown, determine the reaction at the...Ch. 9.2 - For the beam shown, determine the reaction at the...Ch. 9.2 - 9.25 through 9.28 Determine the reaction at the...Ch. 9.2 - 9.25 through 9.28 Determine the reaction at the...Ch. 9.2 - Prob. 27PCh. 9.2 - 9.25 through 9.28 Determine the reaction at the...Ch. 9.2 - 9.29 and 9.30 Determine the reaction at the roller...Ch. 9.2 - 9.29 and 9.30 Determine the reaction at the roller...Ch. 9.2 - 9.37 and 9.32 Determine the reaction at the roller...Ch. 9.2 - 9.31 and 9.32 Determine the reaction at the roller...Ch. 9.2 - Prob. 33PCh. 9.2 - 9.33 and 9.34 determine the reaction at A and draw...Ch. 9.3 - 9.35 and 9.36 For the beam and loading shown,...Ch. 9.3 - 9.35 and 9.36 For the beam and loading shown,...Ch. 9.3 - 9.37 and 9.38 For the beam and loading shown,...Ch. 9.3 - 9.37 and 9.38 For the beam and loading shown,...Ch. 9.3 - 9.39 and 9.40 For the beam and loading shown,...Ch. 9.3 - 9.39 and 9.40 For the beam and loading shown,...Ch. 9.3 - 9.41 and 9.42 For the beam and loading shown,...Ch. 9.3 - 9.41 and 9.42 For the beam and loading shown (a)...Ch. 9.3 - For the beam and loading shown, determine (a) the...Ch. 9.3 - For the beam and loading shown, determine (a) the...Ch. 9.3 - For the timber beam and loading shown, determine...Ch. 9.3 - For the beam and loading shown, determine (a) the...Ch. 9.3 - For the beam and loading shown, determine (a) the...Ch. 9.3 - For the beam and loading shown, determine (a) the...Ch. 9.3 - 9.49 and 9.50 For the beam and loading shown,...Ch. 9.3 - 9.49 and 9.50 For the beam and loading shown,...Ch. 9.3 - 9.51 and 9.52 For the beam and loading shown,...Ch. 9.3 - 9.49 and 9.50 For the beam and loading shown,...Ch. 9.3 - For the beam and loading shown, determine (a) the...Ch. 9.3 - For the beam shown, and knowing that P = 40 kN,...Ch. 9.3 - 9.55 and 9.56 For the beam and loading shown, (a)...Ch. 9.3 - 9.55 and 9.56 For the beam and loading shown, (a)...Ch. 9.3 - For the beam and loading shown, determine (a) the...Ch. 9.3 - For the beam and loading shown, determine (a) the...Ch. 9.3 - Prob. 59PCh. 9.3 - 9.59 through 9.62 For the beam and loading...Ch. 9.3 - Prob. 61PCh. 9.3 - 9.59 through 9.62 For the beam and loading...Ch. 9.3 - The rigid bars BF and DH are welded to the...Ch. 9.3 - The rigid bar DEF is welded at point D to the...Ch. 9.4 - Use the method of superposition to solve the...Ch. 9.4 - Use the method of superposition to solve the...Ch. 9.4 - Use the method of superposition to solve the...Ch. 9.4 - Use the method of superposition to solve the...Ch. 9.4 - Use the method of superposition to solve the...Ch. 9.4 - Use the method of superposition to solve the...Ch. 9.4 - Use the method of superposition to solve the...Ch. 9.4 - Use the method of superposition to solve the...Ch. 9.4 - Use the method of superposition to solve the...Ch. 9.4 - Use the method of superposition to solve the...Ch. 9.4 - Use the method of superposition to solve the...Ch. 9.4 - Use the method of superposition to solve the...Ch. 9.4 - Use the method of superposition to solve the...Ch. 9.4 - Use the method of superposition to solve the...Ch. 9.4 - Use the method of superposition to solve the...Ch. 9.4 - Use the method of superposition to solve the...Ch. 9.4 - Use the method of superposition to solve the...Ch. 9.4 - Use the method of superposition to solve the...Ch. 9.4 - Use the method of superposition to solve the...Ch. 9.4 - Prob. 84PCh. 9.4 - Use the method of superposition to solve the...Ch. 9.4 - Use the method of superposition to solve the...Ch. 9.4 - Use the method of superposition to solve the...Ch. 9.4 - Use the method of superposition to solve the...Ch. 9.4 - Use the method of superposition to solve the...Ch. 9.4 - Use the method of superposition to solve the...Ch. 9.4 - Use the method of superposition to solve the...Ch. 9.4 - Use the method of superposition to solve the...Ch. 9.4 - Use the method of superposition to solve the...Ch. 9.4 - Use the method of superposition to solve the...Ch. 9.5 - 9.95 through 9.98 For the uniform cantilever beam...Ch. 9.5 - Prob. 96PCh. 9.5 - 9.95 through 9.98 For the uniform cantilever beam...Ch. 9.5 - 9.95 through 9.98 For the uniform cantilever beam...Ch. 9.5 - 9.99 and 9.100 For the uniform cantilever beam and...Ch. 9.5 - 9.99 and 9.100 For the uniform cantilever beam and...Ch. 9.5 - For the cantilever beam and loading shown,...Ch. 9.5 - Prob. 102PCh. 9.5 - Prob. 103PCh. 9.5 - Prob. 104PCh. 9.5 - Prob. 105PCh. 9.5 - For the cantilever beam and loading shown,...Ch. 9.5 - Two cover plates are welded to the rolled-steel...Ch. 9.5 - Two cover plates are welded to the rolled-steel...Ch. 9.5 - 9.109 through 9.114 For the prismatic beam and...Ch. 9.5 - Prob. 110PCh. 9.5 - Prob. 111PCh. 9.5 - Prob. 112PCh. 9.5 - Prob. 113PCh. 9.5 - Prob. 114PCh. 9.5 - Prob. 115PCh. 9.5 - 9.115 and 9.116 For the beam and loading shown,...Ch. 9.5 - Prob. 117PCh. 9.5 - 9.118 and 9.119 For the beam and loading shown,...Ch. 9.5 - Prob. 119PCh. 9.5 - Prob. 120PCh. 9.5 - Prob. 121PCh. 9.5 - Prob. 122PCh. 9.5 - Prob. 123PCh. 9.5 - Prob. 124PCh. 9.6 - 9.125 through 9.128 For the prismatic beam and...Ch. 9.6 - Prob. 126PCh. 9.6 - Prob. 127PCh. 9.6 - Prob. 128PCh. 9.6 - 9.129 and 9.130 For the beam and loading shown,...Ch. 9.6 - Prob. 130PCh. 9.6 - For the timber beam and loading shown, determine...Ch. 9.6 - Prob. 132PCh. 9.6 - For the beam and loading shown, determine (a) the...Ch. 9.6 - Prob. 134PCh. 9.6 - Prob. 135PCh. 9.6 - Knowing that the beam AD is made of a solid steel...Ch. 9.6 - Prob. 137PCh. 9.6 - For the beam and loading shown, determine (a) the...Ch. 9.6 - Prob. 139PCh. 9.6 - For the beam and loading shown, determine the...Ch. 9.6 - Prob. 141PCh. 9.6 - Prob. 142PCh. 9.6 - Prob. 143PCh. 9.6 - Prob. 144PCh. 9.6 - Prob. 145PCh. 9.6 - For the beam and loading shown, determine (a) the...Ch. 9.6 - Prob. 147PCh. 9.6 - Prob. 148PCh. 9.6 - Prob. 149PCh. 9.6 - Prob. 150PCh. 9.6 - 9.151 and 9.152 For the beam and loading shown,...Ch. 9.6 - Prob. 152PCh. 9.6 - Prob. 153PCh. 9.6 - Prob. 154PCh. 9.6 - Prob. 155PCh. 9.6 - Fig. P9.155 and P9.156 9.156 For the beam and...Ch. 9 - For the loading shown, determine (a) the equation...Ch. 9 - Prob. 158RPCh. 9 - For the beam and loading shown, determine (a) the...Ch. 9 - Determine the reaction at A and draw the bending...Ch. 9 - For the beam and loading shown, determine (a) the...Ch. 9 - For the beam and loading shown, determine (a) the...Ch. 9 - Beam CE rests on beam AB as shown. Knowing that a...Ch. 9 - The cantilever beam BC is attached to the steel...Ch. 9 - For the cantilever beam and loading shown,...Ch. 9 - Knowing that P = 4 kips, determine (a) the slope...Ch. 9 - For the beam and loading shown, determine (a) the...Ch. 9 - Determine the reaction at the roller support and...
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- The two beams shown have the same cross section and are joined by a hinge at C. For the loading shown, determine (a) the slope at point A, (b) the deflection at point B. Use E=29 *106 psiarrow_forwardProblem 7.25 Consider the beam shown in (Figure 1). Solve this problem using the conjugate-beam method. Take E = 200 GPa, I = 710(106) mm². Figure 1.5 m 90 kN-m + 1.5 m 1 of 1 30 kN 2 C Part B Determine the slope at B measured counterclockwise from the positive axis. Express your answer using three significant figures. IVE ΑΣΦ | OB = Submit Part C Amax = Request Answer Submit Determine the maximum displacement of the beam measured upward. Express your answer to three signif I μÅ Value vec Request Answer ? Units figures and include the appropriate units. ? radarrow_forwardPROBLEM 9.9 Knowing that beam AB is a W130× 23.8 rolled shape and that L P=50 kN, L=1.25 m, and E = 200 GPa, determine (a) the slope at A, (b) the deflection at C. L/2 L/2 [x=0, y=0] [x = L, y=0] L dy 2' dx e = 2.77x103 rad Yc = 1.156 mm.arrow_forward
- Current Attempt in Progress For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for segment AB of the beam, (b) the deflection at B, and (c) the slope at A. Assume that El is constant for the beam. Let P = 25 kN, L = 5.5 m, E = 195 GPa, and I = 130 x 106 mm4. P A B Answer: (b) vg = i mm (a) Өд - і rad Save for Later Attempts: 0 of 1 used Submit Answerarrow_forwardb. Determine the deflection of the beam at midpoint for the beam loading system shown in the figure given below : Take : E = 200 GN/m2 and I = 83 x 106 m. 20 N 30 N 10 N/m 10 m 5 m 10 m Fig. 10.arrow_forwardProblem 5.2 Determine the deflection at x=1m and x=4m. Specify the slope at A and the maximum deflection. El is constant. A -2 m X 6 kN 6 m C 6 kN 6 m 2 m Barrow_forward
- Pls help ASAParrow_forwardProblem 7.25 Consider the beam shown in (Figure 1). Solve this problem using the conjugate-beam method. Take E = 200 GPa, I = 710(106) mm². Figure 1.5 m 90 kN-m + 1.5 m 1 of 1 30 kN 2 C Part B Determine the slope at B measured counterclockwise from the positive axis. Express your answer using three significant figures. OB = Submit Part C Amax = VAΣo↓vec Submit Request Answer Determine the maximum displacement of the beam measured upward. Express your answer to three signific figures and include the appropriate units. I μÅ Value Request Answer Units ? ? radarrow_forward6.36 Using Castigliano's method on the wire form shown determine the vertical deflection of point A considering bending only. The rigidity of the cross sec- tion is El. R Problem 6.36 Barrow_forward
- PROBLEM 9.9 Knowing that beam AB is a W130x23.8 rolled shape and that L P=50 kN, L=1.25 m, and E = 200 GPa, determine (a) the slope at A, (b) the deflection at C. W -L/2 L/2 [x=0, y=0] [x= L, y=0] L dy 2' dx O = 2.77x103 rad Yc = 1.156 mm,arrow_forwardBeam 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_forwardSolve using equation of the load and integrating.arrow_forward
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