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A rectangular region in a solid is in a state of plane strain. The (x, y) coordinates of the corners of the undeformed rectangle are given by P(0, 0), Q(4, 3), S(0, 3). The'rectangle is subjected to uniform strain εxx = 0.001, εyy = 0.002, γxy = 0.003. The deformed length of the elongated xy diagonal, upto three decimal places, is _______ units.
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- 5.015 units
- 15 units
- 5 units
- None of the above
Correct Option: A
Length of diagonal PR = √4² + 3² = 5
Strain at an angle 45°
ε = εxcos² θ + εysin² θ + γxysinθcos θ
= 0.001 × cos² 45 + 0.002 sin² 45 + 0.003 sin 45 cos 45
= 0.003
| ε = | = 0.003 | |
| l |
Δl = = 5 × 0.003 = 0.015 units
Deformed length = 5 + 0.015 = 5.015 units
