Question

A steel rod 20 mm diameter passes centrally through a steel tube 25 mm internal diameter and 40 mm external diameter (Fig. Q2). The tube is 750 mm tong and is closed by rigid washers of negligible thickness which are fastened by nuts threaded on the rod. The nuts are tightened until the compressive load on the tube is 20kN. Take E=200GN/m² Calculate:

The stresses in the tube and the rod

Answer 1

To calculate the stresses in the tube and the rod, we can use the formula for stress, which is the force applied divided by the cross-sectional area. The cross-sectional area of the tube can be calculated using the formula for the area of a ring. For the stress in the rod, we can use the same formula with the cross-sectional area of the rod.

Step-by-step explanation:

To calculate the stresses in the tube and the rod, we can use the formula for stress, which is the force applied divided by the cross-sectional area. In this case, we have a compressive load of 20kN applied to the tube. The cross-sectional area of the tube can be calculated using the formula for the area of a ring: A = π(R2 - r2), where R is the external radius and r is the internal radius. Using this information, we can calculate the stress in the tube. For the stress in the rod, we can use the same formula with the cross-sectional area of the rod.