Question 2 (Soalan 21 The state of plane stress at a point is represented by the element as shown in Figure Q2. The state of plane stress at the point is uniquely represented by two normal stress components 170 MPa and 430 MPa and one shear stress component 320 MPa acting on an element that has a specific orientation at the point. (a) Determine the state of stress at the point on another element oriented 34° clockwise from position as shown in Figure Q2. Show the results on each element. (b) Calculate the principal stress and specify the orientation (angle) of the element in each case. Show the results on each element. (c) Plane stress transformation is able to have a graphical solution that is easy to remember. Using Mohr's circle, calculate the maximum in-plane shear stress and average normal stress. Demonstrate the orientation of the element in each case.

Structural Analysis
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Chapter2: Loads On Structures
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170MPA
320MPA
430MPA
Figure Q2: State of plane stress
Transcribed Image Text:170MPA 320MPA 430MPA Figure Q2: State of plane stress
Question 2
[Soalan 21
The state of plane stress at a point is represented by the element as shown in Figure Q2.
The state of plane stress at the point is uniquely represented by two normal stress
components 170 MPa and 430 MPa and one shear stress component 320 MPa acting on
an element that has a specific orientation at the point.
(a) Determine the state of stress at the point on another element oriented 34° clockwise
from position as shown in Figure Q2. Show the results on each element.
(b) Calculate the principal stress and specify the orientation (angle) of the element in
each case. Show the results on each element.
(c) Plane stress transformation is able to have a graphical solution that is easy to
remember. Using Mohr's circle, calculate the maximum in-plane shear stress and
average normal stress. Demonstrate the orientation of the element in each case.
Transcribed Image Text:Question 2 [Soalan 21 The state of plane stress at a point is represented by the element as shown in Figure Q2. The state of plane stress at the point is uniquely represented by two normal stress components 170 MPa and 430 MPa and one shear stress component 320 MPa acting on an element that has a specific orientation at the point. (a) Determine the state of stress at the point on another element oriented 34° clockwise from position as shown in Figure Q2. Show the results on each element. (b) Calculate the principal stress and specify the orientation (angle) of the element in each case. Show the results on each element. (c) Plane stress transformation is able to have a graphical solution that is easy to remember. Using Mohr's circle, calculate the maximum in-plane shear stress and average normal stress. Demonstrate the orientation of the element in each case.
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