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A simply supported wooden beam of span 1.3 m having a cross-section 150 mm wide and 250 mm deep carries a point load W at the centre. The permissible stresses are 7 N/mm2 in bending and 1 N/mm2.

Calculate the safe load W.

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Given:

For a rectangular S.S wooden beam -

b = 150mm, d = 250mm, L = 1.3m ,

Central point load = 'W' N

$\sigma_{b} = 7 N/mm^{2} and q_{max} = 1 N/mm^{2}$

Solution:

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M = Max. B.M. = $\frac{WL}{4} = \frac{w \times 1.3}{4} = 0.325 W - N.m$

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