QUESTION I ) Sute True or False for the following statements: O The principal stresses represent the maximum and minimum normal stress at a point. ) When the state of complex stresses is oriented at the maximum in plane shear stress, no normal stress will act on the element. ) The absolute maximum shear strain and the maximum inplane shear strain are always equal. ) When the state of strain is represented by the principal straims, 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 03 is loaded with intermal pressure p and anial force Fa shown in Figure QI (a). The inner radius of the cylinder is 100 mm and the wall thickness is 5 mm. A strain guge 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 (). Ifp is1.25 MPa and the strain measured by the puge ise-425 - 10, determine: ) the axial force F, i) the maximum in plane shear stress, and H) the maximum in-plane shear strain. (8 marks) Figure QI (a) Figure QI (b)
QUESTION I ) Sute True or False for the following statements: O The principal stresses represent the maximum and minimum normal stress at a point. ) When the state of complex stresses is oriented at the maximum in plane shear stress, no normal stress will act on the element. ) The absolute maximum shear strain and the maximum inplane shear strain are always equal. ) When the state of strain is represented by the principal straims, 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 03 is loaded with intermal pressure p and anial force Fa shown in Figure QI (a). The inner radius of the cylinder is 100 mm and the wall thickness is 5 mm. A strain guge 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 (). Ifp is1.25 MPa and the strain measured by the puge ise-425 - 10, determine: ) the axial force F, i) the maximum in plane shear stress, and H) the maximum in-plane shear strain. (8 marks) Figure QI (a) Figure QI (b)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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