The flexural strength of a simply supported prismatic beam with depth ‘d’, width ‘b’ and span...
The flexural strength of a simply supported prismatic beam with depth ‘d’, width ‘b’ and span ‘L’ is determined using a four-point bending test. Two equal loads of value ‘P’ are placed at a distance of L/3 and 2L/3 from the support.
a. Calculate the reaction forces at the supports.
b. Draw the shear and moment diagrams for the beam.
c. What is the location of the maximum moment on the beam? What is the value of the maximum moment?
d. What is the location of the maximum shear on the beam? What is the value of the maximum shear?
e. Derive the expression for the maximum bending stress on the beam.
f. Derive the expression for the maximum bending stress if the beam has a solid circular cross-section of radius ‘r’.
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The flexural strength of a simply supported prismatic beam with
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1. For the simply supported beam subjected to the loading shown, Derive equations for the shear...
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A prismatic beam with span L = 3 ft is simply supported at
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Determine:
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305 lb/ft. The allowable bending stress of the wood is 1.30 ksi. If
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