Composite Beam

Transformed homogeneous beam obtained through a transformation factor:

n = E1

E2

dF = σ dA = σ dA’

σ dz dy = σ’ n dz dy

σ = n σ’

and

Typical Example of Composite Beam

Typical Example of Composite Beam

Transverse Loading on Prismatic Beams

Sign Convention of Beams

wdx

dV

Vdx

dM

VVVxw

xwV

MxVMMxxw 2/

xVM

Governing Equations of Beams

Shear and Bending Moment Diagram (I)

Shear and Bending Moment Diagram (II)

Shear and Bending Moment Diagram (III)

Shear and Bending Moment Diagram (IV)

Shear and Bending Moment Diagram (V)

Shear and Bending Moment Diagram (VI)

Shear and Bending Moment Diagram (VII)

Summary of Shear and Bending Moment Diagram