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1 May, 04:39

A fixed end rectangular cantilever beam is subjected to 40 kg load at its end. The beam is 80 mm high, 20 mm wide and 0.5 m long. What is the maximum deflection of the beam if the material used is high modulus graphite/epoxy composite (fiber volume fraction is

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  1. 1 May, 05:41
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    The maximum deflection is 0.325 mm

    Explanation:

    we have the following data given:

    m = 40 kg

    L = 0.5 m

    h = 80 mm = 0.08 m

    b = 20 mm = 0.02 m

    We calculate W:

    W = m*g = 40 * 9.8 = 392.4 N

    we will calculate the moment of inertia of the area which will be equal to:

    I = (b*h^3) / 12 = (0.02*0.08^3) / 12 = 8.56x10^-7

    The Young's modulus is equal to:

    E = (20*270) / (100) + (3.2 * (100-20)) / 100 = 58.6x10^9 Pa

    The deflection is equal to:

    δ = (W*L^3) / (3*E*I) = (392.4 * (0.5^3)) / (3*58.6x10^9*8.56x10^-7) = 0.000325 m = 0.325 mm
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