1. Calculation for W10x30 A36 Beam with
Concentrated Load at Center (ASD Method)
Engineering Analysis
by Kevin Wilson
Conforms to Standards of AISC Steel
Construction Manual 8th Edition
Modulus of Elasticity of Steel: E 29000000psi:=
Yield Strength of A36: Fy 36ksi:=
Concentrated Load on Beam: P 5kip:=
Beam Span: l 120in:=
Properties of the W10x30 Beam Section:
Depth of Section: d 10.5in:=
Thickness of Web: tw 0.300in:=
Moment of Inertia: I 170in
4
:=
Section Modulus (X-Axis): Sx 32.4in
3
:=
Beam Loading Calculations:
Support Reactions: R
P
2
2.5 kip⋅=:= Maximum Shear: VMax R 2.5 kip⋅=:=
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Shear Stress Check AISC Steel Manual 8th Ed., Section 1.5.1.2:
Allowable Shear Stress: Fv 0.40 Fy⋅ 14.4 ksi⋅=:= (Ref. AISC 8th Ed., Sect. 1.5.1.2.1)
Area in Shear: Av d tw⋅
2
3
⎛
⎜
⎝
⎞
⎟
⎠
⋅ 2.1in
2
=:=
Maximum Shear Stress: fv
VMax
Av
1.19 ksi⋅=:= < Fv 14.4 ksi⋅= OK
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Bending Stress Check AISC Steel Manual 8th Ed., Section 1.5.1.2:
Allowable Bending Stress: Fb 0.60 Fy⋅ 21.6 ksi⋅=:= (Ref. AISC 8th Ed., Sect. 1.5.1.2.1)
Maximum Bending Moment: Mmax
P l⋅
4
150 kip in⋅⋅=:=
Bending Stress: fb
Mmax
Sx
4.63 ksi=:= Fb 21.6 ksi⋅= OK<
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Deflection Check:
Allowable Deflection: Δallow
l
360
0.333 in=:=
Max. Deflection: Δmax
P l
3
⋅
48 E⋅ I⋅
⎛
⎜
⎝
⎞
⎟
⎠
0.037 in=:= < Δallow 0.333 in= OK