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## Q. 1.30

Redo Example 1.29 if the beam is supported on springs of stiffness, k = 200 kN/m.

## Verified Solution

Static deflection of the beam,

$\sigma_{s t}=0.0844+\frac{100}{200}=0.5844 mm$

Impact factor $=1+\sqrt{1+\frac{2 \times 500}{0.5844}}=42.38$

$\delta_{\max }=0.5844 \times 42.38=24.76 mm$

$\sigma_{\max }=0.225 \times 42.38=9.53 MPa$