For the state of stress shown on the element below, Apply the concept of stress transformation to determine: (i) Using analytical method of transformation equations; (a) The orientation of principal planes and the values of max, and min. principal stresses. Also sketch the principal planes on a rotated stress element along-with the max. and min. principal stresses on the respective planes. (b) The orientation of max. in-plane shear stress and the values of max. and min. in plane shear stresses. Also sketch the max./min. in-plane shear stress planes on a rotated stress element labelled with the respective stresses on the planes. (ii) Using graphical method of Mohr's stress circle technique; find the normal and shear stresses on an inclined plane as shown in the figure below. |(R) MPa YA → (1.6R) MPa 350 (1.2R) MPa
For the state of stress shown on the element below, Apply the concept of stress transformation to determine: (i) Using analytical method of transformation equations; (a) The orientation of principal planes and the values of max, and min. principal stresses. Also sketch the principal planes on a rotated stress element along-with the max. and min. principal stresses on the respective planes. (b) The orientation of max. in-plane shear stress and the values of max. and min. in plane shear stresses. Also sketch the max./min. in-plane shear stress planes on a rotated stress element labelled with the respective stresses on the planes. (ii) Using graphical method of Mohr's stress circle technique; find the normal and shear stresses on an inclined plane as shown in the figure below. |(R) MPa YA → (1.6R) MPa 350 (1.2R) MPa
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Draw Mohr circle R=101
Find the et ha by top down sweep method ie 55 degree draw
Find normal and shear at 55 degree
![For the state of stress shown on the element below, Apply the concept of stress
transformation to determine:
(i) Using analytical method of transformation equations;
(a) The orientation of principal planes and the values of max. and min.
principal stresses. Also sketch the principal planes on a rotated stress element
along-with the max. and min. principal stresses on the respective planes.
(b) The orientation of max. in-plane shear stress and the values of max. and
min. in plane shear stresses. Also sketch the max./min. in-plane shear stress
planes on a rotated stress element labelled with the respective stresses on the
planes.
(ii) Using graphical method of Mohr's stress circle technique; find the normal
and shear stresses on an inclined plane as shown in the figure below.
| (R) MPa
YA
- (1.6R) MPa
350
(1.2R) MPa](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe30e87bb-2e2b-4371-abc8-d9c31575078c%2F2ddf104a-a2d9-4ca8-9bc9-e48a00085fee%2F9l7kea_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For the state of stress shown on the element below, Apply the concept of stress
transformation to determine:
(i) Using analytical method of transformation equations;
(a) The orientation of principal planes and the values of max. and min.
principal stresses. Also sketch the principal planes on a rotated stress element
along-with the max. and min. principal stresses on the respective planes.
(b) The orientation of max. in-plane shear stress and the values of max. and
min. in plane shear stresses. Also sketch the max./min. in-plane shear stress
planes on a rotated stress element labelled with the respective stresses on the
planes.
(ii) Using graphical method of Mohr's stress circle technique; find the normal
and shear stresses on an inclined plane as shown in the figure below.
| (R) MPa
YA
- (1.6R) MPa
350
(1.2R) MPa
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