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M/S
Bending Stress
VQ/Ib
Shear Stress
5wl^4/384EI
Line Load Deflection
PL³/48EI
Point Load Deflection (Middle)
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:
Fb=0.66Fy
Allowable Bending Stress for Compact Section (Kpa)
Fb=0.60Fy
Allowable Bending Stress for Non-compact Section (Kpa)
bf/2tf < 170/sqrt.(Fy), bf/tf < 500/sqrt.(Fy), and d/tw < 1680/sqrt.(Fy)
Compact Section Criteria
bf/2tf > 170/sqrt.(Fy) and d/tw > 1680/sqrt.(Fy)
Non-Compact Section Criteria
Fv=0.40Fy
Allowable Shear Stress if h/tw =< 380/sqrt.(Fy)
Fv=FyCv/2.89
Allowable Shear Stress if h/tw > 380/sqrt.(Fy)
45,000kv/Fy(h/t)²
when Cv < 0.8
(190/(h/t))sqrt.(kv/Fy)
when Cv < 0.8
4.00 + (5.34/(a/h)²)
kv when a/h < 1.0
5.34 + (4.00/(a/h)²)
kv when a/h > 1.0
fv=V/(dxtw)
Allowable stress for L section and Channel only
Maximum Shear
meaning of V
Depth of beam
meaning of d
Thickness of web
meaning of tw
Allowable Shear Stress
Meaning of Fv
L/240
Allowable Deflection for simple span
L/180
Allowable Deflection for Cantilever
Width of flange
Meaning of bf
Thickness of flange
Meaning of tf
Yield stress Mpa
Meaning of Fy
area of compression flange
Meaning of af
in
supported length use what measurement
m & KN
for L and C section, use what measurement
laterally supported, compact or not, allowable bending stress
order of solutions for bending
determine if h/tw =< 380/sqrt.(Fy), find kv, find cv
order of solutions for shear