Daboost/Shutterstock.com 7.2-8 An element in plane stress on the fuselage of an airplane (figure part a) is subjected to compressive stresses with a magnitude of 42 MPa in the horizon- tal direction and tensile stresses with a magnitude of 9.5 MPa in the vertical direction (see figure part b). Also, shear stresses with a magnitude of 15.5 MPa act in the directions shown. Determine the stresses acting on an element ori- ented at a clockwise angle of 40° from the horizontal. Show these stresses on a sketch of an element ori- ented at this angle. T 9.5 MPa Ţ (b) 42 MPa 15.5 MPa 7.2-21 An element in plane stress from the frame of a racing car is oriented at a known angle 0 (see fig- ure). On this inclined element, the normal and shear stresses have the magnitudes and directions shown in the figure. Determine the normal and shear stresses acting on an element whose sides are parallel to the xy axes, that is, determine ,,, and 7. Show the results on a sketch of an element oriented at 0 = 0°. PROBLEM 7.2-21 3300 psi 2200 psi 8-369 13,500 psi

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.2.8P: An element in plane stress on the fuselage of an airplane (figure part a) is subjected to...
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7.2-8 An element in plane stress on the fuselage of
an airplane (figure part a) is subjected to compressive
stresses with a magnitude of 42 MPa in the horizon-
tal direction and tensile stresses with a magnitude of
9.5 MPa in the vertical direction (see figure part b).
Also, shear stresses with a magnitude of 15.5 MPa act
in the directions shown.
Determine the stresses acting on an element ori-
ented at a clockwise angle of 40° from the horizontal.
Show these stresses on a sketch of an element ori-
ented at this angle.
(a)
PROBLEM 7.2-8
T
9.5 MPa
Ţ
42 MPa
15.5 MPa
7.2-21 An element in plane stress from the frame of
a racing car is oriented at a known angle (see fig-
ure). On this inclined element, the normal and shear
stresses have the magnitudes and directions shown
in the figure.
Determine the normal and shear stresses acting
on an element whose sides are parallel to the xy axes,
that is, determine ox, o, and 7. Show the results on
a sketch of an element oriented at 9 = 0°.
PROBLEM 7.2-21
3300 psi
2200 psi
8= 36°
13,500 psi
x
Transcribed Image Text:Daboost/Shutterstock.com 7.2-8 An element in plane stress on the fuselage of an airplane (figure part a) is subjected to compressive stresses with a magnitude of 42 MPa in the horizon- tal direction and tensile stresses with a magnitude of 9.5 MPa in the vertical direction (see figure part b). Also, shear stresses with a magnitude of 15.5 MPa act in the directions shown. Determine the stresses acting on an element ori- ented at a clockwise angle of 40° from the horizontal. Show these stresses on a sketch of an element ori- ented at this angle. (a) PROBLEM 7.2-8 T 9.5 MPa Ţ 42 MPa 15.5 MPa 7.2-21 An element in plane stress from the frame of a racing car is oriented at a known angle (see fig- ure). On this inclined element, the normal and shear stresses have the magnitudes and directions shown in the figure. Determine the normal and shear stresses acting on an element whose sides are parallel to the xy axes, that is, determine ox, o, and 7. Show the results on a sketch of an element oriented at 9 = 0°. PROBLEM 7.2-21 3300 psi 2200 psi 8= 36° 13,500 psi x
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