In mechanics, material properties are established based on the logic of relating deformations to externally applied...

  

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In mechanics, material properties are established based on the logic of relating deformations to externally applied forces. Depending on the properties of interest, various ways of applying external forces are employed. Differentiate between the following material testing characteristics: Deformation equation for a material loaded in tension and in torsion Three factors upon which deformations in i) above depend iii. Hooke's law as applied to tensile and torsional loading i. ii. The 750 mm long pipe shown in Fig. 1 is made from a material with a Young's modulus of 145 GPa and a Poisson's ratio of 0.3. It is subjected to a tightening twisting force, against the support at A, by application of a couple, using a torque wrench, as shown. Given that the pipe has an inner diameter of 35 mm and an outer diameter of 55 mm, determine the following: i. Polar moment of inertia for the pipe ii. The internal torque, in N.m at A iii. The angle of twist at B iv. The minimum and maximum shear strain in the pipe v. The minimum and maximum shear stress in the pipe 120 N 200 mm B C 120 N 300 mm [2 marks] [2 marks] [2 marks] Fig. 1: Pipe loading in torsional [2 marks] [2 marks] [2 marks] [4 marks] [4 marks] In mechanics, material properties are established based on the logic of relating deformations to externally applied forces. Depending on the properties of interest, various ways of applying external forces are employed. Differentiate between the following material testing characteristics: Deformation equation for a material loaded in tension and in torsion Three factors upon which deformations in i) above depend iii. Hooke's law as applied to tensile and torsional loading i. ii. The 750 mm long pipe shown in Fig. 1 is made from a material with a Young's modulus of 145 GPa and a Poisson's ratio of 0.3. It is subjected to a tightening twisting force, against the support at A, by application of a couple, using a torque wrench, as shown. Given that the pipe has an inner diameter of 35 mm and an outer diameter of 55 mm, determine the following: i. Polar moment of inertia for the pipe ii. The internal torque, in N.m at A iii. The angle of twist at B iv. The minimum and maximum shear strain in the pipe v. The minimum and maximum shear stress in the pipe 120 N 200 mm B C 120 N 300 mm [2 marks] [2 marks] [2 marks] Fig. 1: Pipe loading in torsional [2 marks] [2 marks] [2 marks] [4 marks] [4 marks]

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i Deformation equation for a material loaded in tension For a material loaded in tension the deformation equation can be expressed as Delta LL FAE whe... View the full answer