Analysis of Beams

Problem 1: Load and Moment Diagram when Given the Shear Diagram (Overhanging Beam)

From the shear diagram of an overhang beam shown,
a. Determine the reaction at point B
b. Determine the concentrated load at point C
c. Determine the maximum positive moment
d. Determine the maximum negative moment

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Problem 2: Load and Moment Diagram when Given the Shear Diagram (Beam with Couple)

From the shear diagram ABCDE
a. Determine the maximum intensity of the triangular load.
b. Determine the magnitude of the couple at point B of the beam.
c. Draw the load and moment diagram and identify the location of all points of inflection.

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Problem 3: Overhanging Beam with Uniform Load over the whole span

For the beam shown, determine the following:
a. Absolute Maximum Shear
b. Maximum Positive Moment
c. Location of the point of inflection from the right support

a. 83.33kN
b. 88.88kN-m
c. 0.67m (Note that the question states from the "right" support

Problem 4: Cantilever beam with triangular load and upward load at the free end

For the beam shown below, determine the following:
a. Maximum moment in kN-m
b. Shear value at 2.5m from the support
c. Moment value at 1.8m from the support

The shear diagram is shown below to demonstrate how tedious the solutions would be if we use the area method. Hence, the shear and moment equation is more ideal for this type of problem where the shear and moment at a point is to be determined.
a. 26.2kN-m
b. 0.96875kN
c. 24.2kN-m

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