Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Concept explainers

Beams
In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe be…
Question

A cantilever beam is shown below, Determine the Shear Force and the Bending Moment Equation for 3.0 < x < 3.9. P = 15 kN, F = 75 kN, w1 = 3.75 kN/m, w2 = 6 kN/m

Note: Determine/derive the Shear Force and Bending Moment Equations of each segment of the beam (kindly include the FBD). 

W1. 2400 mm 600 mm 900mm F
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Transcribed Image Text:W1. 2400 mm 600 mm 900mm F
SHEAR AND MOMENT EQUATIONS (Procedure) 1. Compute the support reactions of the beam. 2. Divide the beam into segments so that the loading within each segment is continuous. 3. ON EACH BEAM SEGMENT, introduce an imaginary cutting plane within the segment, located at a distance "x" from the left end of the beam, that cuts the beam into parts. 4. Draw an FBD for the part of the beam lying to the left. At the cut section, show V (Shear) and M (Bending moment) acting in their positive directions. 5. Determine the equations for V and M from the equilibrium equations obtainable from the FBDS. These expressions, which are usually functions of x, are the shear force and bending moment equation for the segment. 6. Do the preceding steps for all segments until you obtain the shear and moment equation for all segments.
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Transcribed Image Text:SHEAR AND MOMENT EQUATIONS (Procedure) 1. Compute the support reactions of the beam. 2. Divide the beam into segments so that the loading within each segment is continuous. 3. ON EACH BEAM SEGMENT, introduce an imaginary cutting plane within the segment, located at a distance "x" from the left end of the beam, that cuts the beam into parts. 4. Draw an FBD for the part of the beam lying to the left. At the cut section, show V (Shear) and M (Bending moment) acting in their positive directions. 5. Determine the equations for V and M from the equilibrium equations obtainable from the FBDS. These expressions, which are usually functions of x, are the shear force and bending moment equation for the segment. 6. Do the preceding steps for all segments until you obtain the shear and moment equation for all segments.
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