Question

A load of 100 N falls by gravity a vertical distance of 300 cm When it is suddenly stopped by a collar at the end of a vertical rod of length 6m and diameter 2 cm. The top of the bar is rigidly fixed to a ceiling. calculate the maximum stress and the strain induced in the bar. Table E = 1.96 × 10⁷ N/cm². 

Answer 1

Given data:

Weight of the object = 100N

Height of fall = 300 cm

Length of vertical rod = 6m = 600cm

Diameter of rod = 2cm

 = 2cm E = 1.96 × 107 N/cm²

Cross-sectional area of the rod

= A = π/⁴.d² = π/4.(2)² = 3.142 cm²

Maximum stress induced in the bar;

Strain induced in the bar due to impact ei ; We know that

e_i = σi /E = 25007.945/(1.96 × 10⁷) = 0.001276

e_i = 0.001276