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7 June, 22:54

The rigid bar is supported by the two short white spruce wooden posts and a spring. If each of the posts has an unloaded length of 1 m and a cross-sectional area of 600 mm2, and the spring has a stiffness of k = 2 MN >m and an unstretched length of 1.02 m, determine the force in each post after the load is applied to the bar.

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  1. 7 June, 23:16
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    Force in each post=Fa=Fb=25.6KN

    Explanation:

    Using equations of equilibrium=∑Fx=0

    Fb-Fa=0

    Fb=Fa=F

    ∑Fy=0

    2F+Fsp-100 (10^3) = 0 (1)

    Now using compatibility relationships

    δa+0.02=δsf

    0.1727F+20 (10^3) = 0.5Fsp (2)

    Solve equation (1) and equation (2)

    Force in post=25.6 KN
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