Opl = op2 = Tmax= (a) Enter the principal stresses and the magnitude of the maximum in-plane shear stress Tmax acting at the point. Enter a positive value for Tmax. 0p = Gavg i Tabsmax i 4.2 69 i i Txy (b) On a piece of paper, show these stresses on an appropriate sketch. For the sketch, calculate, the angle between the x axis and the first principal stress orientation. Enter a positive value for 0, for a counterclockwise rotation from the x axis to the direction of o,1, or a negative value for a clockwise rotation. Also, calculate avg, the normal stress on planes of maximum in-plane shear stress. Enter 0, and oavg i ksi ksi ksi y ksi (c) Enter the absolute maximum shear stress at the point. -X ksi
Opl = op2 = Tmax= (a) Enter the principal stresses and the magnitude of the maximum in-plane shear stress Tmax acting at the point. Enter a positive value for Tmax. 0p = Gavg i Tabsmax i 4.2 69 i i Txy (b) On a piece of paper, show these stresses on an appropriate sketch. For the sketch, calculate, the angle between the x axis and the first principal stress orientation. Enter a positive value for 0, for a counterclockwise rotation from the x axis to the direction of o,1, or a negative value for a clockwise rotation. Also, calculate avg, the normal stress on planes of maximum in-plane shear stress. Enter 0, and oavg i ksi ksi ksi y ksi (c) Enter the absolute maximum shear stress at the point. -X ksi
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.2.19P: At a point on the surface of an elliptical exercise machine, the material is in biaxial stress with...
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![Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical
planes at the point are shown.
(a) Determine the principal stresses and the maximum in-plane shear stress acting at the point.
(b) Show these stresses on an appropriate sketch (e.g., see figures below)
There is never
shear stress on
principal planes.
Try
10₂
10₂
Label arrows with
stress magnitudes
(i.e., absolute values).
45°
op2
opl
Oavs
max
avg
Use direction of arrow
to indicate signs.
(c) Compute the absolute maximum shear stress at the point.
davg
max 45°
op2
Label arrows with
stress magnitudes
(i.e., absolute values).
opl
There is never
shear stress on
principal planes.
Use direction of arrow
to indicate signs.
Note that the horizontal direction has been taken as the x - direction, and the vertical direction has been taken as the y direction.
Assume the stress magnitudes are |ox| = 9.9 ksi, |oy| = 12.5 ksi, and|xy| = 4.0ksi. The directions of these stresses are indicated
in the figure below.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F919fc4f8-bc37-4123-8b2a-9ca8cd02385f%2F28684b30-52c6-4fd4-b731-b7e497e2e734%2F4f474p_processed.png&w=3840&q=75)
Transcribed Image Text:Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical
planes at the point are shown.
(a) Determine the principal stresses and the maximum in-plane shear stress acting at the point.
(b) Show these stresses on an appropriate sketch (e.g., see figures below)
There is never
shear stress on
principal planes.
Try
10₂
10₂
Label arrows with
stress magnitudes
(i.e., absolute values).
45°
op2
opl
Oavs
max
avg
Use direction of arrow
to indicate signs.
(c) Compute the absolute maximum shear stress at the point.
davg
max 45°
op2
Label arrows with
stress magnitudes
(i.e., absolute values).
opl
There is never
shear stress on
principal planes.
Use direction of arrow
to indicate signs.
Note that the horizontal direction has been taken as the x - direction, and the vertical direction has been taken as the y direction.
Assume the stress magnitudes are |ox| = 9.9 ksi, |oy| = 12.5 ksi, and|xy| = 4.0ksi. The directions of these stresses are indicated
in the figure below.
![(a) Enter the principal stresses and the magnitude of the maximum in-plane shear stress Tmax acting at the point. Enter a positive value
for Tmax.
Opl =
Op2 =
Tmax=
0p =
Oavg
=
i
i 4.2
Tabsmax =
(b) On a piece of paper, show these stresses on an appropriate sketch. For the sketch, calculate ,, the angle between the x axis and the
first principal stress orientation. Enter a positive value for 0, for a counterclockwise rotation from the x axis to the direction of opi, or
a negative value for a clockwise rotation. Also, calculate oavg, the normal stress on planes of maximum in-plane shear stress. Enter 0,
and avg.
i
i
ksi
ksi
i
ksi
y
L
ksi
(c) Enter the absolute maximum shear stress at the point.
ksi](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F919fc4f8-bc37-4123-8b2a-9ca8cd02385f%2F28684b30-52c6-4fd4-b731-b7e497e2e734%2F0jubsvv_processed.png&w=3840&q=75)
Transcribed Image Text:(a) Enter the principal stresses and the magnitude of the maximum in-plane shear stress Tmax acting at the point. Enter a positive value
for Tmax.
Opl =
Op2 =
Tmax=
0p =
Oavg
=
i
i 4.2
Tabsmax =
(b) On a piece of paper, show these stresses on an appropriate sketch. For the sketch, calculate ,, the angle between the x axis and the
first principal stress orientation. Enter a positive value for 0, for a counterclockwise rotation from the x axis to the direction of opi, or
a negative value for a clockwise rotation. Also, calculate oavg, the normal stress on planes of maximum in-plane shear stress. Enter 0,
and avg.
i
i
ksi
ksi
i
ksi
y
L
ksi
(c) Enter the absolute maximum shear stress at the point.
ksi
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