← 2 Q go : Question 1 1. An element in plane stress on the fuselage of an airplane is subjected to compressive stresses in the horizontal direction and tensile stresses in the vertical direction (see figure 1). The shear stresses act in the directions shown in the same figure. (a) Use the stress transformation equation to determine the stresses acting on an element oriented at a clockwise angle of 40° from the horizontal. (b) Show that your answers are correct using Mohr's circle. [10] [10] 15MPa 25MPa 50MPa Figure 1: Plane stress element Question 2 The surface of an airplane wing is subjected to plane stress with normal stresses σx and σy and shear stress Txy, as shown in the figure. At a counterclockwise angle theta is 37° from the x axis, the normal stress is 49 MPa in tension, and at an angle theta equal 46°, it is 37 MPa in compression. If the stress Ox equals 135 MPa in tension, what are the stresses σy and Txy? [10] Txy Ox-135MP 3 Figure 2: Plane stress element e T DONA 00 Comment Highlight Draw Text Fill & Sign More tools

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
Question
100%
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2
Q
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:
Question 1
1. An element in plane stress on the fuselage of an airplane is subjected to
compressive stresses in the horizontal direction and tensile stresses in the vertical
direction (see figure 1). The shear stresses act in the directions shown in the same
figure.
(a) Use the stress transformation equation to determine the stresses acting on an
element oriented at a clockwise angle of 40° from the horizontal.
(b) Show that your answers are correct using Mohr's circle.
[10]
[10]
15MPa
25MPa
50MPa
Figure 1: Plane stress element
Question 2
The surface of an airplane wing is subjected to plane stress with normal stresses σx
and σy and shear stress Txy, as shown in the figure. At a counterclockwise angle theta
is 37° from the x axis, the normal stress is 49 MPa in tension, and at an angle theta
equal 46°, it is 37 MPa in compression. If the stress Ox equals 135 MPa in tension,
what are the stresses σy and Txy?
[10]
Txy
Ox-135MP
3
Figure 2: Plane stress element
e
T
DONA
00
Comment Highlight Draw
Text
Fill & Sign More tools
Transcribed Image Text:← 2 Q go : Question 1 1. An element in plane stress on the fuselage of an airplane is subjected to compressive stresses in the horizontal direction and tensile stresses in the vertical direction (see figure 1). The shear stresses act in the directions shown in the same figure. (a) Use the stress transformation equation to determine the stresses acting on an element oriented at a clockwise angle of 40° from the horizontal. (b) Show that your answers are correct using Mohr's circle. [10] [10] 15MPa 25MPa 50MPa Figure 1: Plane stress element Question 2 The surface of an airplane wing is subjected to plane stress with normal stresses σx and σy and shear stress Txy, as shown in the figure. At a counterclockwise angle theta is 37° from the x axis, the normal stress is 49 MPa in tension, and at an angle theta equal 46°, it is 37 MPa in compression. If the stress Ox equals 135 MPa in tension, what are the stresses σy and Txy? [10] Txy Ox-135MP 3 Figure 2: Plane stress element e T DONA 00 Comment Highlight Draw Text Fill & Sign More tools
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