Beams - Maximum Shear and Moment Formula Flashcards
Simply Supported with concentrated load: Vmax
Vmax = P/2
Simply Supported with concentrated load: Mmax
Mmax = PL / 4
Simply Supported with concentrated load: Deflection
δ = PL³ / 48EI
Cantilever with concentrated load: Vmax
Vmax = P
Cantilever with concentrated load: Mmax
Mmax = PL
Cantilever with concentrated load: Deflection
δ = PL³ / 3EI
Fixed with concentrated load: Vmax
Vmax = P/2
Fixed with concentrated load: Mmax
PL/8
Fixed with concentrated load: deflection
δ = PL³ / 192EI
Simply Supported with uniformly distributed load: Vmax
Vmax= wL / 2
Simply Supported with uniformly distributed load: Mmax
Mmax = wL² / 8
Simply Supported with uniformly distributed load: Deflection
δ = 5wL⁴ / 348 EI
Cantilever with uniformly distributed load: Vmax
Vmax = wL
Cantilever with uniformly distributed load: Mmax
Mmax = wL² / 2
Cantilever with uniformly distributed load: Deflection
δ = wL⁴ / 8EI