450 mm 32 mm A. B L= 14 m 16 mm- 1800 mm 32 mm 450 mm

A bridge girder AB on a simple span of
length L =14 m supports a distributed load of maximum
intensity q at mid-span and minimum intensity
q/2 at supports A and B that includes the weight of
the girder (see figure). The girder is constructed of
three plates welded to form the cross section shown.
Determine the maximum permissible load q based
upon (a) an allowable bending stress σ_allow =110 MPa
and (b) an allowable shear stress τ_allow = 50 MPa.