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Calculation
No.
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CALCULATION SHEET
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Project No.
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onlinestructuraldesign.com
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Project:
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Calc. By
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Date
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Rev.
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Subject:
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Checked By
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Date
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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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Beam Loads
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Beam characteristics
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No. of Load Cases
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L =
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m
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beam length
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I =
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cm4
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moment of inertia
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E =
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GPa
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(109*N/m2)
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element elasticity modulus
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Load Case
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UDL =
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kN/m
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uniformly
distributed load
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P1
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kN
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a=
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m
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b=
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m
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concentrated
load
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P2
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kN
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a=
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m
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b=
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m
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concentrated
load
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Load Case
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UDL =
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kN/m
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uniformly
distributed load
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P1
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kN
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a=
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m
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b=
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m
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concentrated
load
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P2
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kN
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a=
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m
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b=
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m
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concentrated
load
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Load Case
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UDL =
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kN/m
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uniformly
distributed load
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P1
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kN
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a=
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m
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b=
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m
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concentrated
load
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P2
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kN
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a=
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m
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b=
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m
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concentrated
load
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Load Combinations (Load Factors)
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For Bending Moments and Shear Force Calculation
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For Deflection Calculation
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Position for internal forces and deflection
calculations
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x =
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m
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Unable to load Flash content. The Charts Control requires Flash Player 9.0.45 or higher. You can download the latest version of Flash Player from the Adobe Flash Player Download Center .
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Unable to load Flash content. The Charts Control requires Flash Player 9.0.45 or higher. You can download the latest version of Flash Player from the Adobe Flash Player Download Center .
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Maximum moment and shear
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Unable to load Flash content. The Charts Control requires Flash Player 9.0.45 or higher. You can download the latest version of Flash Player from the Adobe Flash Player Download Center .
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Mmax
=
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kN*m
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Vmax
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kN
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Maximum deflection
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Dmax =
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Reactions
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R1
=
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kN
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R2
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kN
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Mx
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kN*m
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Vx
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kN
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Dx =
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mm
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Reactions
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1
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UDL
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R1
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R2
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2
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UDL + 1 concentrated load
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3
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UDL + 2 concentrated loads
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1 concentrated load
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2 concentrated loads
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Bending
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x (%)
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0
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0.02
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0.04
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0.06
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0.08
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0.1
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0.12
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0.14
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0.16
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0.18
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0.2
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0.22
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0.24
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0.26
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0.28
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0.3
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0.32
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0.34
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0.36
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0.38
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0.4
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0.42
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0.44
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0.46
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0.48
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0.5
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0.52
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0.54
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0.56
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0.58
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0.6
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0.62
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0.64
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0.66
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0.68
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0.7
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0.72
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0.74
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0.76
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0.78
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0.8
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0.82
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0.84
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0.86
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0.88
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0.9
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0.92
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0.94
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0.96
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0.98
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1
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x (m)
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0
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0.12
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0.24
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0.36
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0.48
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0.6
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0.72
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0.84
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0.96
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1.08
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1.2
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1.32
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1.44
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1.56
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1.68
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1.8
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1.92
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2.04
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2.16
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2.28
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2.4
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2.52
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2.64
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2.76
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2.88
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3
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3.12
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3.24
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3.36
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3.48
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3.6
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3.72
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3.84
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3.96
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4.08
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4.2
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4.32
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4.44
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4.56
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4.68
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4.8
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4.92
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5.04
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5.16
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5.28
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5.4
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5.52
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5.64
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5.76
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5.88
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6
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ULS
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UDL
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P1
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P2
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UDL
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P1
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P2
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UDL
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P1
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P2
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Total
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0.0
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1.3
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2.5
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3.7
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4.8
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5.8
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6.8
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7.8
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8.7
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9.6
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10.4
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11.1
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11.8
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12.5
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13.1
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13.6
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14.1
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14.5
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14.9
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15.3
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15.6
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15.8
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16.0
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16.1
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16.2
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16.2
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16.2
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16.1
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16.0
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15.8
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15.6
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15.3
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14.9
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14.5
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14.1
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13.6
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13.1
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12.5
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11.8
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11.1
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10.4
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9.6
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8.7
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7.8
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6.8
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5.8
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4.8
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3.7
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2.5
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1.3
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0.0
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Shear
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ULS
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UDL
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P1
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P2
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UDL
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P1
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P2
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UDL
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|
|
|
P1
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
P2
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Total
|
10.8
|
10.4
|
9.9
|
9.5
|
9.1
|
8.6
|
8.2
|
7.8
|
7.3
|
6.9
|
6.5
|
6.0
|
5.6
|
5.2
|
4.8
|
4.3
|
3.9
|
3.5
|
3.0
|
2.6
|
2.2
|
1.7
|
1.3
|
0.9
|
0.4
|
0.0
|
-0.4
|
-0.9
|
-1.3
|
-1.7
|
-2.2
|
-2.6
|
-3.0
|
-3.5
|
-3.9
|
-4.3
|
-4.8
|
-5.2
|
-5.6
|
-6.0
|
-6.5
|
-6.9
|
-7.3
|
-7.8
|
-8.2
|
-8.6
|
-9.1
|
-9.5
|
-9.9
|
-10.4
|
-10.8
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Deflection
|
|
SLS
|
|
|
|
|
|
|
UDL
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
P1
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
P2
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
UDL
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
P1
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
P2
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
UDL
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
P1
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
P2
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Total
|
0.0
|
1.2
|
2.4
|
3.5
|
4.7
|
5.8
|
6.9
|
8.0
|
9.0
|
10.1
|
11.0
|
11.9
|
12.8
|
13.6
|
14.4
|
15.1
|
15.7
|
16.3
|
16.8
|
17.3
|
17.7
|
18.0
|
18.2
|
18.4
|
18.5
|
18.5
|
18.5
|
18.4
|
18.2
|
18.0
|
17.7
|
17.3
|
16.8
|
16.3
|
15.7
|
15.1
|
14.4
|
13.6
|
12.8
|
11.9
|
11.0
|
10.1
|
9.0
|
8.0
|
6.9
|
5.8
|
4.7
|
3.5
|
2.4
|
1.2
|
0.0
|