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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Transcribed Image 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)
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