Structural Analysis (MindTap Course List)
5th Edition
ISBN: 9781133943891
Author: Aslam Kassimali
Publisher: Cengage Learning
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Textbook Question
Chapter 5, Problem 53P
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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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.
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
The bending moment diagram is constant for an interval of a beam then the crossponding shear force diagram
is an inclined straight line.
A curved line.
A line parallel to the axis.
A zero line
Chapter 5 Solutions
Structural Analysis (MindTap Course List)
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 - Prob. 17PCh. 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 - Prob. 25PCh. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - Prob. 27PCh. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - Prob. 29PCh. 5 - Prob. 30PCh. 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 - Prob. 34PCh. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - Prob. 36PCh. 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 - Prob. 39PCh. 5 - Prob. 40PCh. 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 - Prob. 44PCh. 5 - Prob. 45PCh. 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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- complete solution Determine (a) the maximum bending stress and (b)the maximum shearing stress due to V in the simplysupported beam shown in the figure.arrow_forwardProblem 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 marrow_forwardIn the overconnected plane truss system, where the loading condition is given in the figure, the elongation stiffness in all bars is EA. Calculate the rod forces using the force method.arrow_forward
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