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

Structural Analysis
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Chapter2: Loads On Structures
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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
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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