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Shear-Moment (V-M) Diagrams: Simply Supported Beam

Point Loads

Use the interactive Figure below to determine the shear and moment diagrams for the simply supported beam. Click and drag the red dot to move the location of point load on the beam. Use the slider to change its magnitude and direction. Use the Figure to answer the following questions.

Increasing the magnitude of the point load has what impact on the shear and moment diagram?

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Why does the shear remain constant between the supports and point load?

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Where should the point load be located along the beam in order for the moment to be maximized?

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Moving the location of the point load along the beam without changing its magnitude has what impact on the moment diagram?

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Distributed Loads

Use the interactive Figure below to determine the shear and moment diagrams for the simply supported beam with a distributed load. Click and drag the red dots to change the magnitude and shape of the distributed load on the beam. Use the Figure to answer the following questions.

For a beam with a uniformly distributed load, what effect will an increase in the magnitude of the distributed load have on the shear diagram?

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How will the shape of the shear curve change if the distributed load changes from uniform (rectangular) to a uniformly varying (triangular) distributed load?

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What affect will changing the distributed load from rectangular to triangular have on the shape of the bending moment curve?

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As the distributed load changes from a triangular load starting at wa = 0, to a rectangular load of the same magnitude as wb, what do you expect will happen to the location where the shear force changes sign?

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For a triangular distributed load starting at wa = 0, at which support will the slope in the shear curve be greater, why?

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