Beam reaction calculator

Enter your values. The answer and the full worked solution update as you type.

Result

RA13.33 kN
RB6.667 kN
Maximum bending moment26.67 kN·m

Step-by-step solution

Moments about A

RB·L = P·a → RB = 20·2/6 = 6.667 kN

Vertical equilibrium

RA = P − RB = 13.33 kN

Moment under the load

Mmax = RA·a = 26.67 kN·m

Key formulas

Equilibrium
ΣFx = 0, ΣFy = 0, ΣM = 0
Uniform load
resultant w·L at the middle of the load
Moment
M = F·d

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