Module 7: Design and Investigation of Steel Beams and Girders

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30 Terms

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M/S

Bending Stress

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VQ/Ib

Shear Stress

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5wl^4/384EI

Line Load Deflection

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PL³/48EI

Point Load Deflection (Middle)

<p>Point Load Deflection (Middle)</p>
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Lc=76bf/Sqrt.(Fy) or Lc=20,000/(d/Af)Fy

to determine if a beam is laterally supported or not, L (unsupported Length) should not exceed the smaller of:

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Fb=0.66Fy

Allowable Bending Stress for Compact Section (Kpa)

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Fb=0.60Fy

Allowable Bending Stress for Non-compact Section (Kpa)

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bf/2tf < 170/sqrt.(Fy), bf/tf < 500/sqrt.(Fy), and d/tw < 1680/sqrt.(Fy)

Compact Section Criteria

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bf/2tf > 170/sqrt.(Fy) and d/tw > 1680/sqrt.(Fy)

Non-Compact Section Criteria

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Fv=0.40Fy

Allowable Shear Stress if h/tw =< 380/sqrt.(Fy)

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Fv=FyCv/2.89

Allowable Shear Stress if h/tw > 380/sqrt.(Fy)

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45,000kv/Fy(h/t)²

when Cv < 0.8

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(190/(h/t))sqrt.(kv/Fy)

when Cv < 0.8

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4.00 + (5.34/(a/h)²)

kv when a/h < 1.0

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5.34 + (4.00/(a/h)²)

kv when a/h > 1.0

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fv=V/(dxtw)

Allowable stress for L section and Channel only

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Maximum Shear

meaning of V

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Depth of beam

meaning of d

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Thickness of web

meaning of tw

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Allowable Shear Stress

Meaning of Fv

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L/240

Allowable Deflection for simple span

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L/180

Allowable Deflection for Cantilever

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Width of flange

Meaning of bf

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Thickness of flange

Meaning of tf

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Yield stress Mpa

Meaning of Fy

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area of compression flange

Meaning of af

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in

supported length use what measurement

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m & KN

for L and C section, use what measurement

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laterally supported, compact or not, allowable bending stress

order of solutions for bending

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determine if h/tw =< 380/sqrt.(Fy), find kv, find cv

order of solutions for shear