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Problem A rectangular beam of width b and height h carries a central concentrated load P on a simply supported span of length L. Express the maximum f v in terms of maximum f b . Solution 580 From the figure: Vmax=12P Mmax=12L(12P)=14PL From flexure formula: fb=6Mbh2=6(14PL)bh2 fb=3PL2bh2 bh=3PL2fbh From shear stress formula: fb=3V2bh=3(12P)2(3PL2fbh) fv=fbh2L answer

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  • Problem A rectangular beam of width b and height h carries a central concentrated load P on a simply

    supported span of length L. Express the maximum fv in terms of maximum fb.

    Solution 580 From the figure:

    Vmax=12P

    Mmax=12L(12P)=14PL

    From flexure formula:

    fb=6Mbh2=6(14PL)bh2

    fb=3PL2bh2

    bh=3PL2fbh

    From shear stress formula:

    fb=3V2bh=3(12P)2(3PL2fbh)

    fv=fbh2L answer


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