Simply Supported - Uniform Load

w (load/ft) L (span)

Results

0
Total Load
lbs
0
Each Reaction
lbs
0
Max Moment
ft-lbs
0
Max Shear
lbs
0.00
Max Deflection
inches
0.00
Allowable Defl
inches
Formulas (Simply Supported, Uniform Load): R = wL/2 Max Reaction M = wL²/8 Max Moment (at center) V = wL/2 Max Shear (at supports) Δ = 5wL⁴/(384EI) Max Deflection (at center)

Simply Supported - Center Point Load

P L

Results

0
Each Reaction
lbs
0
Max Moment
ft-lbs
0
Max Shear
lbs
0.00
Max Deflection
inches
Formulas (Center Point Load): R = P/2 Each Reaction M = PL/4 Max Moment (at center) V = P/2 Max Shear Δ = PL³/(48EI) Max Deflection

Simply Supported - Two Equal Point Loads

P P a b a

Results

0
Each Reaction
lbs
0
Max Moment
ft-lbs
0
Max Shear
lbs
0.00
Max Deflection
inches
Formulas (Two Equal Loads at a from each end): R = P Each Reaction M = Pa Max Moment (between loads) V = P Max Shear Δ = Pa(3L²-4a²)/(24EI) Max Deflection

Cantilever - Uniform Load

w L

Results

0
Total Load
lbs
0
Reaction at Support
lbs
0
Max Moment
ft-lbs
0
Max Shear
lbs
0.00
Max Deflection
inches (at tip)
Formulas (Cantilever, Uniform Load): R = wL Reaction at fixed end M = wL²/2 Max Moment (at fixed end) V = wL Max Shear (at fixed end) Δ = wL⁴/(8EI) Max Deflection (at free end)