Strength of Materials Problems and Solutions | Simple stress and strain problems | Part 1
In this video, We have discussed some of the numerical problems of strength of materials on properties of metals and basic concepts. These problems come under simple stress and strain in members.
Chapter
0:00 Introduction
0:20 A steel rod of length 300 mm and diameter 30 mm, is subjected to a pull 'P' while the temperature is 100°C. If the total extension of the rod is 0.40 mm, calculate the magnitude of 'P'. Take 'α' for steel = 12×10-6 /ºC and E = 0.215×1012 N/m2.
8:00 The steel rod as shown in figure is in two parts. It has a diameter of 10 mm for a length of 1 m and of 20 mm for the remaining length of 1.5 m. If it is constrained between two supports A and B and is stress-free at 20ºC, find the stress in the material when it is heated to 70ºC. E=200 GPa, α = 12 × 10-6 /ºC.
12:38 The ultimate stress, for a hollow steel column which carries an axial load of 1.9 MN is 480 N/mm2. If the external diameter of the column is 200 mm, determine the internal diameter. Take factor of safety as 4.
15:40 A member ABCD is subjected to point loads as shown in Figure. Calculate the force P necessary for equilibrium. Determine the total elongation of the member, assuming the modulus of elasticity to be 2.1×105 N/mm2.
21:23 A bar 40 mm in diameter is subjected to a tensile force of 40000 kg. The extension of bar measured over a gauge length of 200 mm was 0.318 mm. The decrease in diameter was found to be 0.02 mm. Calculate the values of Young's modulus of elasticity and modulus of rigidity of the material.
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