Material indicies

constraints for a tie

length, must support axial tensile load without failing

constraints for panel

bending stiffness, length, width

constraints for a beam

bending stiffness, length, section shape

constraints for a column

length, can support a load without buckling

bending stiffness equation

S = (C1 E I)/ L³

yield strength equation

Oy = F/A

Cost to make a material of mass m

C = m x Cm

Material index for a tie, minimize mass, stiffness constraint

E / p

Material index for a tie, minimize cost, stiffness constraint

of / p Cm

Material index for a tie, minimize mass, strength constraint

of / p

Material index for a panel, minimize mass, stiffness constraint

E ^ 1/3 / p

Material index for a panel, minimize cost, stiffness constraint

E ^ 1/3 / p Cm

Material index for a beam, minimize mass, stiffness constraint

E ^ ½ / p

Material index for a beam, minimize mass, strength constraint

oy ^ 2/3 / p

Material index for a beam, minimize cost, stiffness constraint

E^1/2 / Cm p

Material index for a beam, minimize cost, strength constraint

oy ^ 2/3 / Cm p

Material index for a column, minimize mass, buckling load constraint

E^1/2 / Cm p

Material index for a spring , minimize mass, energy storage constraint

oy² / E p

Material index for a thermal insulation, minimize cost, heat flux constraint

1 / (lambda) Cp p

Material index for a electromagnet, maximum field, temperature rise constraint

Cp p / Pe