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
icon
Related questions
Question
100%
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)
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)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Ferrous Metals and Alloys
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY