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/mNote: Determine/derive the Shear Force and Bending Moment Equations of each segment of the beam (kindly include the FBD). W1.2400 mm600 mm900mmF SHEAR AND MOMENT EQUATIONS (Procedure)1. Compute the support reactions of the beam.2. Divide the beam into segments so that theloading within each segment is continuous.3. ON EACH BEAM SEGMENT, introduce animaginary cutting plane within the segment,located at a distance "x" from the left end of thebeam, that cuts the beam into parts.4. Draw an FBD for the part of the beam lying tothe left. At the cut section, show V (Shear) andM (Bending moment) acting in their positivedirections.5. Determine the equations for V and M from theequilibrium equations obtainable from theFBDS. These expressions, which are usuallyfunctions of x, are the shear force and bendingmoment equation for the segment.6. Do the preceding steps for all segments until youobtain the shear and moment equation for allsegments.

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Answered: W1. 2400 mm 600 mm 900 mm F

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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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).

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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