Civil Engineering Handbook

Info

12 -

T3"

1 -

T2"

1 -

Moment-curvature relationship is given by

where E is the modulus of elasticity. We know that {s| = [E]{e|, so we have for the beam element

The stiffness matrix can now be obtained from Equation 2.171a written in the form

[K] = i [B]T[d][B] dx Jo with the integration over the length of the beam. Substituting for [B] and [E], we obtain symmetrical