Learning Goal: To determine the in-plane principal stresses and maximum shear stress along with their orientations and the average normal stress for an element in a given state of plane stress. 01, 02 = MPa, MPa The element of material below is subjected to the state of stress shown, where a = 118.0 MPa, b = 70.00 MPa , and e = 10.00 MPa (Figure 1) Submit Part C - Orientation of the element subjected to maximum shear stress on its sides Determine the orientation, 8,2, of the element subjected to maximum shear stress on its left and right sides. Use the value for 8g that is positive. Express your answer to four significant figures and include the appropriate units. > View Available Hint(s) HÀ ? 82 = Value Units Submit Part D - Maximum in-plane shear stress and average normal stress Figure < 1 of 1 > Determine the maximum in-plane shear stress and the average nomal stress acting on an element oriented as determined in Part C. Express your answers to four significant figures separated by a comma. > View Available Hintís) V AZO t vec max 'in-plane : Tavg = MPa, MPa Submit Provide Feedback

Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN:9781305970939
Author:Braja M. Das, Khaled Sobhan
Publisher:Braja M. Das, Khaled Sobhan
Chapter10: Stresses In A Soil Mass
Section: Chapter Questions
Problem 10.1CTP: EB and FG are two planes inside a soil element ABCD as shown in Figure 10.50. Stress conditions on...
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Learning Goal:
To determine the in-plane principal stresses and maximum shear
stress along with their orientations and the average normal stress for
an element in a given state of plane stress.
PartA - Orientation of the planes of maximum and minimum normal stress
The element of material below is subjected to the state of stress
shown, where a = 118.0 MPa , b= 70.00 MPa , and e= 10.00
MPa (Figure 1)
Determine the orientation of the planes of maximum and minimum normal stress, 6,1 and 8,2, respectively. Use the value for 8,2 that is negative. Then use this value
to determine the value of 6,1.
Express your answers to four significant figures separated by a comma.
• View Available Hint(s)
vec
?
891, 8p2 =
Submit
Part B - In-plane principal stresses
Determine the in-plane principal stresses for the element (as oriented in Part A), and calculate ơi and oz such that they correspond with 8,1 and 8,2.
Express your answers to four significant figures separated by a comma.
• View Available Hint(s)
Figure
< 1 of 1
Vol AEO It vec
?
01, 02 =
MPa, MPa
b
Submit
Part C - Orientation of the element subjected to maximum shear stress on its sides
Determine the orientation, 82, of the element subjected to maximum shear stress on its left and right sides. Use the value for 82 that is positive.
Express your answer to four significant figures and include the appropriate units.
• View Available Hints)
Transcribed Image Text:Learning Goal: To determine the in-plane principal stresses and maximum shear stress along with their orientations and the average normal stress for an element in a given state of plane stress. PartA - Orientation of the planes of maximum and minimum normal stress The element of material below is subjected to the state of stress shown, where a = 118.0 MPa , b= 70.00 MPa , and e= 10.00 MPa (Figure 1) Determine the orientation of the planes of maximum and minimum normal stress, 6,1 and 8,2, respectively. Use the value for 8,2 that is negative. Then use this value to determine the value of 6,1. Express your answers to four significant figures separated by a comma. • View Available Hint(s) vec ? 891, 8p2 = Submit Part B - In-plane principal stresses Determine the in-plane principal stresses for the element (as oriented in Part A), and calculate ơi and oz such that they correspond with 8,1 and 8,2. Express your answers to four significant figures separated by a comma. • View Available Hint(s) Figure < 1 of 1 Vol AEO It vec ? 01, 02 = MPa, MPa b Submit Part C - Orientation of the element subjected to maximum shear stress on its sides Determine the orientation, 82, of the element subjected to maximum shear stress on its left and right sides. Use the value for 82 that is positive. Express your answer to four significant figures and include the appropriate units. • View Available Hints)
Learning Goal:
To determine the in-plane principal stresses and maximum shear
stress along with their orientations and the average normal stress for
an element in a given state of plane stress.
01, 02 =
МРа, МPа
The element of material below is subjected to the state of stress
shown, where a = 118.0 MPa , b= 70.00 MPa, and c= 10.00
MPa (Figure 1)
Submit
Part C - Orientation of the element subjected to maximum shear stress on its sides
Determine the orientation, 82, of the element subjected to maximum shear stress on its left and right sides. Use the value for 82 that is positive.
Express your answer to four significant figures and include the appropriate units.
• View Available Hints)
?
82 =
Value
Units
Submit
Part D - Maximum in-plane shear stress and average normal stress
Figure
< 1 of 1
Determine the maximum in-plane shear stress and the average normal stress acting on an element oriented as determined in Part C.
Express your answers to four significant figures separated by a comma.
• View Available Hintís)
VΠ ΑΣφ vec
?
max
'in-plane Cavg =
МРа, MPа
Submit
Provide Feedback
Transcribed Image Text:Learning Goal: To determine the in-plane principal stresses and maximum shear stress along with their orientations and the average normal stress for an element in a given state of plane stress. 01, 02 = МРа, МPа The element of material below is subjected to the state of stress shown, where a = 118.0 MPa , b= 70.00 MPa, and c= 10.00 MPa (Figure 1) Submit Part C - Orientation of the element subjected to maximum shear stress on its sides Determine the orientation, 82, of the element subjected to maximum shear stress on its left and right sides. Use the value for 82 that is positive. Express your answer to four significant figures and include the appropriate units. • View Available Hints) ? 82 = Value Units Submit Part D - Maximum in-plane shear stress and average normal stress Figure < 1 of 1 Determine the maximum in-plane shear stress and the average normal stress acting on an element oriented as determined in Part C. Express your answers to four significant figures separated by a comma. • View Available Hintís) VΠ ΑΣφ vec ? max 'in-plane Cavg = МРа, MPа Submit Provide Feedback
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