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-6EI/L2

4 EI/L

Element stress matrix in local coordinates

Only bending and axial stresses will be considered, shear stresses being taken as insignificant. The points for stress calculation will be the extreme top and bottom fibres at each end of the element, which will always include the maximum stress point. With reference to Fig. 9.27, the beam element stress matrix will be iff"1] = {o?po*mo┬░pofm}

Y top top btm btm

Fig. 9.27. Locations for beam element stress calculation.

Relating these stresses to the internal loads gives

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