Ferrous Metals Non Ferrous Metals Polymers Ceramics Bolts Springs Thermodynamics Beam Bending Stress Formulas

Ferrous : Non-Ferrous : Polymers : Ceramics : Bolts : Springs : Thermodynamics : Bending : Stress

Beam Bending

W = Force (N) 

L = Length (mm)

M = Bending Moment (Nmm)

y = Distance from Neutral axis to fiber - usually extremity (mm)

E = Young's Modulus or Mod of Elasticity (convert to MPa)

I = 2nd Moment of Area or Area Moment (mm4)

Z = Section Modulus (mm3) = I / y

Bending Stress = M*y / I = M / Z (MPa) which is maximum tension (or compression) at bottom (or top) of beam.

Bending Moment and Deflection Tables

Buckling

If column is "slender" it is likely to buckle when in compression.

2nd Moment of Area

Shape	Ic (Centroidal 2nd Moment of Area)	Centroid (Centre of Area)	Area
	Rectangle Bending about centroid (centre). b = breadth, h = height	At centre	A = b*h
	Circle Bending about centroid (centre). r = radius	At centre	A = ∏*r2
	Triangle Bending about centroid. b = breadth, h = height	Xc = h/3 Yc = b/3	A = 0.5*b*h

http://en.wikipedia.org/wiki/List_of_moment_of_areas

Standard Section Data