Answered: Solve the stress tensor at the location…

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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Question

The I beam below is fixed to a rigid wall and subjected to a force 100 kN at its right end. The specifications of the I beam is shown on the right. Other relevant parameters include the section moment of inertia Iz = 45.2 x 10-6 m4, the elastic modulus E = 200 GPa, and Poisson’s ratio v = 0.3. To monitor the local strain, a small rosette of 3 strain gauges is mounted at the top surface in the middle of the beam (red dot).
a) Solve the stress tensor at the location of strain gauge (red dot). Find the principle stresses and maximum shear stress.
b) What is the strain tensor at the red-dot location?
c) What are the readouts of each strain gauge?

ах
45°
11 mm
Strain
203 mm
zT 45°
100 kN
rosette
450
90.5 mm
A
В
203 mm
0.5 m
+ 7.2 mm
1 m

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