Using the Givens and Figure below, calculate the axial stresses, bending stress vectors, torsional shear stresses, and transverse shear stress vectors for the Points A through F. y M F D = 100 mm 0 = 30° F = (10000, M = (8000, For additional practice, vary force and moment vectors Point A B C Ꭰ E F 25000, 35000) N 7500, 11000) N - m Axial Stress [MPa] (0x, Oy, 0₂) <0.0, 3.18, 0.0> <0.0, 3.18, 0.0> <0.0, 3.18, 0.0> <0.0, 3.18, 0.0> <0.0, 3.18, 0.0> <0.0, 3.18, 0.0> Bending Stress (Ox, Oy, Oz) <0.0, 81.49, 0.0> <0.0, -112.05, 0.0> <0.0, -81.49, 0.0> <0.0, 112.05, 0.0> <0.0, 0.0, 0.0> <0.0, 137.78, 0.0> Torsional Shear Stress (Txy, Txz, Tyz) <-38.2, 0.0, 0.0> <0.0, 0.0, 38.2> <38.2, 0.0, 0.0> <0.0, 0.0, -38.2> <0.0, 0.0, 0.0> <-19.1, 0.0, -33.08> X Transverse Shear Stress (Txy, Txz, Tyz) <1.7, 0.0, 0.0> <0.0, 0.0, 5.94> <1.7, 0.0, 0.0> <0.0, 0.0, 5.94> <0.85, 0.0, 2.97> <0.42, 0.0, 4.46> B E C Z r 0 F D X Total Stress (Ox, Oy, Oz, Txy, Txz, Tyz) <0.0, 84.67, 0.0, -36.5, 0.0, 0.0> <0.0, -108.86, 0.0, 0.0, 0.0, 44.14> <0.0, -78.3, 0.0, 39.89, 0.0, 0.0> <0.0, 115.23, 0.0, 0.0, 0.0, -32.26> <0.0, 3.18, 0.0, 0.85, 0.0, 2.97> <0.0, 140.96, 0.0, -18.67, 0.0, -28.62>

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.7.19P: During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as...
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Using the Givens and Figure below, calculate the axial stresses, bending stress vectors, torsional shear stresses, and
transverse shear stress vectors for the Points A through F.
У м
D = 100 mm
0 = 30°
F = (10000,
M = (8000,
For additional practice, vary force and moment vectors
Point
A
B
C
D
F
25000,
35000) N
7500, 11000) N - m
Axial Stress
[MPa]
(Ox, Oy, Oz)
<0.0, 3.18, 0.0>
<0.0, 3.18, 0.0>
<0.0, 3.18, 0.0>
<0.0, 3.18, 0.0>
<0.0, 3.18, 0.0>
<0.0, 3.18, 0.0>
Bending Stress
(0x, Oy, 0₂)
<0.0, 81.49, 0.0>
<0.0, -112.05, 0.0>
<0.0, -81.49, 0.0>
<0.0, 112.05, 0.0>
<0.0, 0.0, 0.0>
<0.0, 137.78, 0.0>
Torsional
Shear Stress
(Txy, Txz, Tyz)
<-38.2, 0.0, 0.0>
<0.0, 0.0, 38.2>
<38.2, 0.0, 0.0>
<0.0, 0.0, -38.2>
<0.0, 0.0, 0.0>
<-19.1, 0.0, -33.08>
X
Transverse
Shear Stress
(Txy, Txz, Tyz)
<1.7, 0.0, 0.0>
<0.0, 0.0, 5.94>
<1.7, 0.0, 0.0>
<0.0, 0.0, 5.94>
<0.85, 0.0, 2.97>
<0.42, 0.0, 4.46>
F
B
E
N
r
0
F
D
X
Total Stress
(Ox, Oy, Oz, Txy, Txz, Tyz)
<0.0, 84.67, 0.0, -36.5, 0.0, 0.0>
<0.0, -108.86, 0.0, 0.0, 0.0, 44.14>
<0.0, -78.3, 0.0, 39.89, 0.0, 0.0>
<0.0, 115.23, 0.0, 0.0, 0.0, -32.26>
<0.0, 3.18, 0.0, 0.85, 0.0, 2.97>
<0.0, 140.96, 0.0, -18.67, 0.0, -28.62>
Transcribed Image Text:Using the Givens and Figure below, calculate the axial stresses, bending stress vectors, torsional shear stresses, and transverse shear stress vectors for the Points A through F. У м D = 100 mm 0 = 30° F = (10000, M = (8000, For additional practice, vary force and moment vectors Point A B C D F 25000, 35000) N 7500, 11000) N - m Axial Stress [MPa] (Ox, Oy, Oz) <0.0, 3.18, 0.0> <0.0, 3.18, 0.0> <0.0, 3.18, 0.0> <0.0, 3.18, 0.0> <0.0, 3.18, 0.0> <0.0, 3.18, 0.0> Bending Stress (0x, Oy, 0₂) <0.0, 81.49, 0.0> <0.0, -112.05, 0.0> <0.0, -81.49, 0.0> <0.0, 112.05, 0.0> <0.0, 0.0, 0.0> <0.0, 137.78, 0.0> Torsional Shear Stress (Txy, Txz, Tyz) <-38.2, 0.0, 0.0> <0.0, 0.0, 38.2> <38.2, 0.0, 0.0> <0.0, 0.0, -38.2> <0.0, 0.0, 0.0> <-19.1, 0.0, -33.08> X Transverse Shear Stress (Txy, Txz, Tyz) <1.7, 0.0, 0.0> <0.0, 0.0, 5.94> <1.7, 0.0, 0.0> <0.0, 0.0, 5.94> <0.85, 0.0, 2.97> <0.42, 0.0, 4.46> F B E N r 0 F D X Total Stress (Ox, Oy, Oz, Txy, Txz, Tyz) <0.0, 84.67, 0.0, -36.5, 0.0, 0.0> <0.0, -108.86, 0.0, 0.0, 0.0, 44.14> <0.0, -78.3, 0.0, 39.89, 0.0, 0.0> <0.0, 115.23, 0.0, 0.0, 0.0, -32.26> <0.0, 3.18, 0.0, 0.85, 0.0, 2.97> <0.0, 140.96, 0.0, -18.67, 0.0, -28.62>
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