A metallic rectangular rod 15m long40mm wide and 25mm thick

Question

Q1. A metallic rectangular rod 1.5m long,40mm wide and 25mm thick is subjected to axial tensile load of 120KN.Elongation of rod is 0.9mm.Find stress,strain and modulus of elasticity.                                    

Q2.A hollow circular tube of aluminium supports a compressive load of 54KN.Inner and outer dia are 3.6cm and 5cm and its length is 40cm.Shortening of tube is measured as 0.22mm.Find stress & strain in tube. 

Q3.A hollow right circular cylinder of cast iron has outer dia 75mm & inner dia 60mm.Length of cylinder is 600mm & is subjected to axial compressive load of 50KN.Find normal stress & shortening of length of cylinder under this load. Take E=100GPa.                                                                                                                                   

Q4.A steel bar of 10mm dia &1m long was subjected to axial load of 10KN.Its dia was found to decrease by 0.002mm.Take E=200GPa.Find (i)extension of bar (ii)longitudinal strain (iii)lateral strain (iv) poisson's ratio.  

Q5.A 2m long rectangular bar of width 7.5cm &thickness 5cm is subjected to axial load of 1000KN.Bar gets elongated by 2mm in length & decreases in width by 10x10^-6m.Find E and µ.                                             

Q6.A stepped bar is shown in figure.Material 1 has 2x10⁵N/mm²while material 2 has E=10⁵N/mm².Find total extension in bar under pull of 30KN if both portions are 20mm thick. 

Attachment:- 1_question.doc

Answer 1

By applying the basic principles and theories of mechanics, solve and respond to the following numerical problems. Q1. A metallic rectangular rod having 1.5m long, 40mm broad and 25mm thick is subjected to axial tensile load of 120KN. Elongation of rod is 0.9mm. Determine stress, strain and modulus of the elasticity. Q2. The hollow circular tube of aluminium supports a compressive load of 54KN. Inner and outer diameter is 3.6cm and 5cm and its length is 40cm. Shortening of tube is evaluated as 0.22mm. Determine stress and strain in tube. Q3. A hollow right circular cylinder of cast iron consists of outer diameter 75mm and inner diameter 60mm. Length of cylinder is 600mm and is subjected to axial compressive load of 50KN. Determine the normal stress and shortening of length of cylinder in this load. Suppose E=100GPa.