Q1 A simply supported wood beam AB with span length L=3.5 m carries a uniform load of intensity W = 6.4 kN/m (see figure). Calculate the maximum normal stress due to the bending moment if the beam has a rectangular cross section with width b = 140 mm and height h = 240 mm.
Added by Charles K.
Step 1
For a simply supported beam with a uniform load, the maximum bending moment occurs at the center of the beam and can be calculated using the formula: M = W*L^2 / 8 Substituting the given values: M = 6.4 kN/m * (3.5 m)^2 / 8 = 7.84 kN*m = 7840 N*m Show more…
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A simply supported wood beam $A B$ with span length $L=4 \mathrm{m}$ carries a uniform load of intensity $q=5.8 \mathrm{kN} / \mathrm{m}$ (see figure) (a) Calculate the maximum bending stress $\sigma_{\max }$ due to the load $q$ if the beam has a rectangular cross section with width $b=140 \mathrm{mm}$ and height $h=240 \mathrm{mm}$ (b) Repeat part (a) but use the trapezoidal distributed load shown in the figure part b.
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