Question

If m=125 kg, h=700 mm\mathrm{m}=125 \mathrm{~kg}, \mathrm{~h}=700 \mathrm{~mm}, and the constant in each spring is k=2.8 kN/mk=2.8 \mathrm{~kN} / \mathrm{m}, determine the range of values of the distance dd for which the equilibrium of ABAB is stable in the position shown. Each spring can act in either tension or compression.

Solution

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The stress acting on the given element is shear stress of 60 MPa-60~\text{MPa}, normal stress at xx axis of 16 MPa16~\text{MPa} and normal stress at yy axis of 48 MPa-48~\text{MPa}.

The problem is asking for the principal planes and principal stresses. This can be solved using the direct formula for θp\theta_p, and σmax,min\sigma_{max, min}.

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