Question 16.4: A railway wagon weighing 200 kN is stopped by a buffer of 4 ...
A railway wagon weighing 200 kN is stopped by a buffer of 4 springs while moving at a speed of 10 km/hr. If the maximum compression of springs is 150 mm, find the diameter of the spring rod if the mean diameter of the spring coil is 200 mm and 8 number of turns are in a coil. Take modulus of rigidity = 80 GPa.
Kinetic energy = \frac{1}{2}mV^2
=\frac{1}{2}\times\frac{200000}{9.81} \times\left\lgroup\frac{10000}{3600} \right\rgroup ^2=78655 N m
Energy absorbed per spring = 78655/4
= 19663.73 N m
Work done = Energy absorbed
P\times\frac{\delta }{2} =19.663.73or P=\frac{2\times19663.73}{0.15} =262183 N
Substituting in Eq. (16.2)
\delta =\frac{64nPR^3}{Gd^4} (16.2)
d=\sqrt[4]{\frac{64nPR^3}{G\delta } }
=\sqrt[4]{\frac{64\times8\times262183\times100^3}{80000\times150} } =53.8 mm say 54 mm
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