πCantilever Beam Structure Analysis
π§A cantilever beam is a structural member that is fixed at one end and free at the other.
π·It resists loads through bending, shear, and deflection.
πHereβs a short breakdown of the analysis shown:
Load (w): A uniform load acts along the beam length L.
Reactions at fixed end (A):
Vertical reaction:.VA=wL
Moment: MA=WL2/2
No horizontal reaction if no horizontal load.
Shear Force Diagram (SFD):
Starts maximum at the fixed end and decreases linearly to zero at the free end.
Bending Moment Diagram (BMD):
Maximum at the fixed end and reduces to zero at the free end (parabolic shape).
Deflection:
Maximum deflection occurs at the free end.
Smax=wL4/8EI
βοΈKey idea: The fixed support carries all the load effects (shear + moment), making it the most critical point in design.
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