Question 16.11: A leaf spring carries a maximum central load of 10 kN. It is...
A leaf spring carries a maximum central load of 10 kN. It is built-up with 1.5 m long, 100 mm wide and 12 mm thick plates. Determine the number of plates and the initial dip if the permissible bending stress is 275 MPa and the modulus of elasticity is 200 GPa.
Number of plates and initial dip is given by Eq. (16.14),
\sigma _0=\frac{3W_0L}{2nbt^2} =\frac{4Et\delta _0}{L^2} (16.14)
n=\frac{W_0L}{2\sigma _0bt^2} =\frac{3\times10000\times1500}{2\times275\times100\times12^2} =5.68 say 6 plates
\delta_0=\frac{\sigma _0L^2}{4Et} =\frac{275\times1500^2}{4\times200000\times12} =64 mm
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