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Simply supported beam with a uniform load

Reactions, maximum shear, maximum moment and midspan deflection of a simply supported beam with a uniformly distributed load. Reference: Standard beam formulas.

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Simply supported beam with a uniform load: worked example sheet in Equation Pad with typeset equations and results.

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# Beam
E_m := 210 GPa
I_b := 8356e4 mm^4
L_s := 6 m
w_d := 20 kN/m

# Results
R := w_d*L_s/2 = kN
V_max := R
M_max := w_d*L_s^2/8 = kN*m
delta := 5*w_d*L_s^4/(384*E_m*I_b) = mm
L_s/delta =

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More Structural analysis sheets on beams

The same topic in IS 456