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17 September, 20:00

The pads are 200mm long, 150 mm wide and thickness equal to 12mm. 1 - Determine the average shear strain in the rubber if the force P = 15 kN and the shear modulus for the rubber is G = 830 kPa. 2 - What is the relative horizontal displacement between the interior plate and the outer plates Esteel = 200 GPa Gste

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  1. 17 September, 23:42
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    a) 0.3

    b) 3.6 mm

    Explanation:

    Given

    Length of the pads, l = 200 mm = 0.2 m

    Width of the pads, b = 150 mm = 0.15 m

    Thickness of the pads, t = 12 mm = 0.012 m

    Force on the rubber, P = 15 kN

    Shear modulus on the rubber, G = 830 GPa

    The average shear strain can be gotten by

    τ (average) = (P/2) / bl

    τ (average) = (15/2) / (0.15 * 0.2)

    τ (average) = 7.5 / 0.03

    τ (average) = 250 kPa

    γ (average) = τ (average) / G

    γ (average) = 250 kPa / 830 kPa

    γ (average) = 0.3

    horizontal displacement,

    δ = γ (average) * t

    δ = 0.3 * 12

    δ = 3.6 mm
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