﻿ Simple Beam 2 Concentrated Loads Imperial
Calculation No.

CALCULATION SHEET Project No.
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Project Title:   Calc. By Date Rev.

Subject/Feature:   Checked By Date

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Beam characteristics Shears, Moments and Deflections

Beam characteristics P = kip concentrated load
L = ft beam length

E = ksi element elasticity modulus
I = in4 element moment of inertia

x = ft position for beam internal forces calculation
a = ft
L - a = ft

Shears, Moments and Deflections

R = V = P = kip           support reactions / end shear

Mmax= P*a = kip*ft         maximum moment between loads

Mx= P*x =  kip*ft      for a > x   moment at x distance
Mx= P*a = kip*ft      for a < x < L-a   moment at x distance
Mx= P*(L-x) = kip*ft      for L-a < x   moment at x distance

max= P*a*(3*L2-4*a2)/24EI= in       maximum deflection

x= P*x*(3*L*a-3*a2-x2)/6EI = in      for a > x   deflection at x distance
x= P*a*(3*L*x-3*x2-a2)/6EI = in      for a < x < L-a   deflection at x distance
x= P*(L-x)*(3*L*a-3*a2-(L-x)2)/6EI = in      for L-a < x   deflection at x distance

References:
Manual of Steel Construction - American Institute of Steel Construction Inc., 2005