๐Cantilever Beam Analysis
๐งA cantilever beam is fixed at one end and free at the other. When a point load (P) acts at the free end:
Reaction Force:
Fixed-End Moment:
Shear Force Diagram (SFD): Constant along the beam, .
๐งทBending Moment Diagram (BMD): Triangular, increasing from 0 at the free end to at the fixed end (maximum bending moment).
Maximum Deflection:
ฮด_max = PLยณ / (3EI)
P = Applied load
L = Beam length
E = Young's modulus
I = Moment of inertia
๐ซKey Point: The maximum bending moment and deflection always occur at the fixed support, making it the most critical section in design.
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๐งA cantilever beam is fixed at one end and free at the other. When a point load (P) acts at the free end:
Reaction Force:
Fixed-End Moment:
Shear Force Diagram (SFD): Constant along the beam, .
๐งทBending Moment Diagram (BMD): Triangular, increasing from 0 at the free end to at the fixed end (maximum bending moment).
Maximum Deflection:
ฮด_max = PLยณ / (3EI)
P = Applied load
L = Beam length
E = Young's modulus
I = Moment of inertia
๐ซKey Point: The maximum bending moment and deflection always occur at the fixed support, making it the most critical section in design.
โ๏ธPlease Subscribe Our Youtube Channel๐
https://youtube.com/@ethiopianconstruction7?si=ils307xXQQpIdCwG
@etconp
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