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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
Input
Output
Beam characteristics
Shears, Moments and Deflections
Concentrated load (kN)
Beam characteristics
P =
kip
concentrated 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
a =
ft
L - a =
ft
Shears, Moments and Deflections
R = V = P =
kip
support reactions / end shear
M
max
=
P*a =
kip*ft
maximum moment between loads
M
x
=
P*x =
kip*ft
for a > x
moment at x distance
M
x
=
P*a =
kip*ft
for a < x < L-a
moment at x distance
M
x
=
P*(L-x) =
kip*ft
for L-a < x
moment at x distance
∆
max
=
P*a*(3*L
2
-4*a
2
)/24EI=
in
maximum deflection
∆
x
=
P*x*(3*L*a-3*a
2
-x
2
)/6EI =
in
for a > x
deflection at x distance
∆
x
=
P*a*(3*L*x-3*x
2
-a
2
)/6EI =
in
for a < x < L-a
deflection at x distance
∆
x
=
P*(L-x)*(3*L*a-3*a
2
-(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
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