YMCAUST FaridabadDepartment of Mechanical Engineering

B. tech 3rd SemesterStrength of Material - I

SOM-I (MU-201)

Assignment No: 3

Q. No. 1 Drive the Euler’s formula for a critical buckling load of a column of length, ‘L’ fixed at one end and free and the other?

Q.No. 2 Drive a relationship among shear force, bending moment and intensity of load in a beam?

Q. No. 3 A beam of length 5m and of uniform rectangular section is simply supported at its ends. It carries a uniformly distributed load of 9 kN/m run over the entire length. Calculate the width and the depth of the beam permissible bending stress is 7 N/mm2 and central deflection is not to exceed 1 cm. Take E for beam material= 1X104 N/mm2 .

Q. No. 4 A short length of tube, 4 cm internal diameters and 5cm external diameters, fails in compression at a load 240 kN. When a 2 meters length of same tube was tested as a strut with fixed ends, the load at failure was 158 kN. Assuming that ‘σC’ (ultimate crushing stress) in Rankine’s formula if given by the test, find the value of the ‘a’ (Rankine’s constant) in the same formula. What will be the crippling load of this tube if it is used as a strut 3 m long with one end fixed and other hinged?

By;Sanjay KumarAssistant ProfessorMechanical Engineering Department