For the beam shown, the magnitude of the distributed load is w0 = 11.6 kN/m and the beam lengths are a = 7.1 m and b = 21.3 m.(a) derive equations for the shear force V and the bending moment M for any location in the beam. Place the origin at point A.(b) use the derived functions to plot the shear-force and bending-moment diagrams for the beam. Use your diagrams to determine the maximum shear force and the maximum bending moment.Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention presented in Section 7.2 of the textbook. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number. Cut a cross-section through the beam at variable distance x, where 0 < x < a. Derive equations for the shear force V and thebending moment M for any location in this section of the beam. Do this on paper.yWo aLMAAyCut a cross-section through the beam at variable distance x, where a For the beam shown, the magnitude of the distributed load is wo = 11.6 kN/m and the beam lengths are a = 7.1 m and b = 21.3 m.(a) derive equations for the shear force V and the bending moment M for any location in the beam. Place the origin at point A.(b) use the derived functions to plot the shear-force and bending-moment diagrams for the beam. Use your diagrams to determine themaximum shear force and the maximum bending moment.Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter yourshear force and bending moment with the correct sign, using the sign convention presented in Section 7.2 of the textbook. If themagnitudes of the largest positive and largest negative values are the same, enter a positive number.WoCab

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Answered: or the beam shown, the magnitude of the…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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For the beam shown, the magnitude of the distributed load is w₀ = 11.6 kN/m and the beam lengths are a = 7.1 m and b = 21.3 m.
(a) derive equations for the shear force V and the bending moment M for any location in the beam. Place the origin at point A.
(b) use the derived functions to plot the shear-force and bending-moment diagrams for the beam. Use your diagrams to determine the maximum shear force and the maximum bending moment.

Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention presented in Section 7.2 of the textbook. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number.

Cut a cross-section through the beam at variable distance x, where 0 < x < a. Derive equations for the shear force V and the
bending moment M for any location in this section of the beam. Do this on paper.
y
Wo a
L
M
A
Ay
Cut a cross-section through the beam at variable distance x, where a<x< (a+b). Derive equations for the shear force Vand the
bending moment M for any location in this section of the beam. Use the derived functions to plot the shear-force and bending-
moment diagrams for the beam. Do this on paper.
wo
M
b.
a + b - x
Cy
The maximum bending moment will occur at the x-location where the shear force is zero. Use your shear diagram to determine
which section of the beam this occurs in, then use the relevant shear force equation to find the x-location where the shear force is
zero.
Answer:
m

For the beam shown, the magnitude of the distributed load is wo = 11.6 kN/m and the beam lengths are a = 7.1 m and b = 21.3 m.
(a) derive equations for the shear force V and the bending moment M for any location in the beam. Place the origin at point A.
(b) use the derived functions to plot the shear-force and bending-moment diagrams for the beam. Use your diagrams to determine the
maximum shear force and the maximum bending moment.
Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your
shear force and bending moment with the correct sign, using the sign convention presented in Section 7.2 of the textbook. If the
magnitudes of the largest positive and largest negative values are the same, enter a positive number.
Wo
C
a
b

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