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Calculation
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CALCULATION SHEET
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Project No.
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Metric units (SI)
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onlinestructuraldesign.com
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Project
Title:
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Calc. By
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Date
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Rev.
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Subject/Feature:
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Checked By
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Date
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Simple Beam -
Uniformly Distributed Load
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Input
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Output
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Beam
characteristics
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Shears,
Moments and Deflections
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Uniformly
distributed load
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Beam
characteristics
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w =
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kN/m
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uniformly distributed load
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L =
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m
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beam length
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E =
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MPa
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element elasticity modulus
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I =
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cm4
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element moment of inertia
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x =
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m
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position for beam internal forces calculation
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Shears, Moments and
Deflections
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wt=
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w*L=
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kN
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total
equivalent uniform load
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R = V =
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w*L/2=
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kN
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support
reactions / end shear
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Vx=
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w*(L/2-x)=
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kN
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shear at x
distance
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Mmax=
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w*L2/8=
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kN*m
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maximum
moment
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Mx=
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w*x*(L-x)/2=
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kN*m
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moment at x
distance
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Dmax=
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5*w*L4/(384*EI)=
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mm
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maximum
deflection
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Dx=
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w*x*(L3-2*L*x2+x3)/24*EI=
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mm
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deflection at
x distance
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References:
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Manual of Steel Construction - American Institute of Steel
Construction Inc., 2005
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