Statics · Simply Supported
Beam Moment & Shear Calculator
Maximum bending moment and shear for a simply supported beam under uniform distributed load (UDL) or central point load. Draws the bending moment diagram instantly.
Maximum Moment
Maximum Shear
Get full beam design — reinforcement (As), stirrup spacing, deflection, torsion, BBS, and PDF report.
Open Civora App →Beam Bending Moment Formulas — Simply Supported
Uniform Distributed Load (UDL)
M_max = wL² / 8 (at midspan)
V_max = wL / 2 (at supports)Central Point Load
M_max = PL / 4 (at midspan)
V_max = P / 2 (at each support)These formulas assume a simply supported beam with a pin at one end and a roller at the other. For continuous beams, fixed ends, or cantilevers, the distribution changes — use Civora's full beam module for multi-span analysis.
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