Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Textbook Question
Chapter 5, Problem 54P
For the beam shown: (a) determine the distance a for which the maximum positive and negative bending moments in the beam are equal; and (b) draw the corresponding shear and bending moment diagrams for the beam.
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The beam is supported by a roller at B and a pin at C and is subjected to the distributed load shown with
intensity w = 180 N/m. The maximum positive and negative internal bending moments are critical factors
in the design of the beam material and geometry. Determine the largest positive and negative internal
bending moments that occur in the beam and the points along the length where each occurs. Take z = 0
to be at point A at the left edge of the beam.
cc 1❀0
BY NC SA
2016 Eric Davishahl
a
X
b
-a-
4.00 m
5.20 m
B
Values for dimensions on the figure are given in the following table. Note the figure may not be to scale.
Variable Value
The maximum negative internal bending moment is
and occurs at z =|
m to the right of A.
The maximum positive internal bending moment is
and occurs at x =
W
m to the right of A.
·b-
N-m
N-m
Problem 2 -A concentrated couple,
= 600 Nm acts at the center of the simply
Supported beam which is also asted upon by the distributed load shown in the figure.
Assume that the beam itself is weightless.
(a) Find the internal shear Vx) and moment M(x) as a functions of x.
(b) Draw the shear and moment diagrams. Label the values at x = 0, x = 6, x = 12, and at
any point where V(x) or M(x) is a local maximum or minimum.
y
50 N/m
Mo
6 m
6 m
There is a statically indeterminate beam in which the horizontal force
at the left and right ends (points A and D) is zero, and the vertical
force is shown in the figure below,
The flexural stiffness of the beam section is constant El:
(a) Find the (bending moment) reaction forces at points A and D.
Chapter 5 Solutions
Structural Analysis
Ch. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - Prob. 10P
Ch. 5 - Prob. 11PCh. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - Draw the shear and bending moment diagrams for the...Ch. 5 - For the beam shown: (a) determine the distance a...Ch. 5 - For the beam shown: (a) determine the distance a...Ch. 5 - Prob. 55PCh. 5 - Prob. 56PCh. 5 - Prob. 57PCh. 5 - Prob. 58PCh. 5 - Prob. 59PCh. 5 - Prob. 60PCh. 5 - Prob. 61PCh. 5 - Prob. 62PCh. 5 - Prob. 63PCh. 5 - Prob. 64PCh. 5 - Prob. 65PCh. 5 - Prob. 66PCh. 5 - Prob. 67PCh. 5 - Prob. 68PCh. 5 - Prob. 69PCh. 5 - Prob. 70PCh. 5 - Prob. 71P
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- for the beam and loading shown (a)use discontinnuity functions to write the expression for w(x). include the beam reactions in this expression. (B) intergrate w(x) twice to determine v(x) and m(x). (C) Use v(x) and m(x) to plot the shear- force and bending- moment diagrams.arrow_forwardDetermine the bending stress at point A of the beam using the result obtained in Prob. 6–106. The moments of inertia of the cross-sectional area about the z and y axes are Iz = Iy = 5.561 in4 and the product of inertia of the cross sectional area with respect to the z and y axes is Iyz = −3.267 in4. (See Appendix A.)arrow_forwardFor the beam shown below, use your preferred method and determine:a. The reactions at the supports (Ray, Rbx, Rby). b. The shear force diagram. c. The bending moment diagram.arrow_forward
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