QUESTION I a) State True or False for the following statements: ) The principal stresses represent the maximum and minimum normal stress at a point. i) When the state of complex stresses is oriented...


QUESTION I<br>a) State True or False for the following statements:<br>) The principal stresses represent the maximum and minimum normal stress at a point.<br>i) When the state of complex stresses is oriented at the maximum in-plane shenr stress,<br>no normal stress will act on the element.<br>i) The absolute maximum shear strain and the maximum in-plane shear strain are<br>always equal.<br>iv) When the state of strain is represented by the principal strains, no shear strain will act<br>on the element.<br>(2 marks)<br>b) A thin cylinder made of steel with modulus of elasticity E- 200 GPa and Poisson's ratio<br>v-03 is loaded with intermal pressure p and axial force Fas shown in Figure QI (a). The<br>inner radius of the cylinder is 100 mm and the wall thickness is 5 mm. A strain gauge is<br>bonded on the outer surface of the cylinder at an angle of o- 30 from the horizontal axis.<br>The stress element is shown in Figure QI (b). Ifp i 1.25 MPa and the strain measured by the<br>gauge is e- 425 x 10, determine:<br>) the axial force F,<br>i) the maximum in-plane shear stress, and<br>i) the maximum in-plane shear strain.<br>(8 marks)<br>Figure QI (a)<br>Figure QI (b)<br>

Extracted text: QUESTION I a) State True or False for the following statements: ) The principal stresses represent the maximum and minimum normal stress at a point. i) When the state of complex stresses is oriented at the maximum in-plane shenr stress, no normal stress will act on the element. i) The absolute maximum shear strain and the maximum in-plane shear strain are always equal. iv) When the state of strain is represented by the principal strains, no shear strain will act on the element. (2 marks) b) A thin cylinder made of steel with modulus of elasticity E- 200 GPa and Poisson's ratio v-03 is loaded with intermal pressure p and axial force Fas shown in Figure QI (a). The inner radius of the cylinder is 100 mm and the wall thickness is 5 mm. A strain gauge is bonded on the outer surface of the cylinder at an angle of o- 30 from the horizontal axis. The stress element is shown in Figure QI (b). Ifp i 1.25 MPa and the strain measured by the gauge is e- 425 x 10, determine: ) the axial force F, i) the maximum in-plane shear stress, and i) the maximum in-plane shear strain. (8 marks) Figure QI (a) Figure QI (b)

Jun 11, 2022
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