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Simple Beam Uniform Load Imperial Units
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COMPANY NAME
Calculation No.
CALCULATION SHEET
Project No.
onlinestructuraldesign.com
Project Title:
Calc. By
Date
Rev.
Subject/Feature:
Checked By
Date
Simple Beam - Uniformly Distributed Load
Input
Output
Beam characteristics
Shears, Moments and Deflections
Uniformly distributed load
Beam characteristics
w =
kip/ft
uniformly distributed load
L =
ft
beam length
E =
ksi
element elasticity modulus
I =
in
4
element moment of inertia
x =
ft
position for beam internal forces calculation
Shears, Moments and Deflections
w
t
=
w*L
=
kip
total equivalent uniform load
R = V =
w*L/2
=
kip
support reactions / end shear
V
x
=
w*(L/2-x)
=
kip
shear at x distance
M
max
=
w*L
2
/8
=
kip*ft
maximum moment
M
x
=
w*x*(L-x)/2
=
kip*ft
moment at x distance
∆
max
=
5*w*L
4
/(384*EI)
=
in
maximum deflection
∆
x
=
w*x*(L
3
-2*L*x
2
+x
3
)/24*EI
=
in
deflection at x distance
References:
Manual of Steel Construction - American Institute of Steel Construction Inc., 2005
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