The two-dimensional state of stress is given as = 10 MPa, G = 5 Ty MPa and T = 2.5 MPa. Determine the following on a plane inclined at an angle of 30° from the x-plane in anticlockwise direction. (i) Normal stress, (ii) shear stress, (iii) resultant stress and (iv) principal stresses.

Structural Analysis
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Chapter2: Loads On Structures
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The two-dimensional state of stress is given as = 10 MPa, 0 = 5 MPa and T₁ = 2.5 MPa.
Determine the following on a plane inclined at an angle of 30° from the x-plane in anticlockwise
direction. (i) Normal stress, (ii) shear stress, (iii) resultant stress and (iv) principal stresses.
30°
12.5
(a)
2.5
-10
normal on
plane AB
6.30
30°
(b)
x
Transcribed Image Text:The two-dimensional state of stress is given as = 10 MPa, 0 = 5 MPa and T₁ = 2.5 MPa. Determine the following on a plane inclined at an angle of 30° from the x-plane in anticlockwise direction. (i) Normal stress, (ii) shear stress, (iii) resultant stress and (iv) principal stresses. 30° 12.5 (a) 2.5 -10 normal on plane AB 6.30 30° (b) x
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