Math Problem Statement
The state of plane stress at a point is given below. Find the normal stress () acting on a plane inclined at 30o (CCW) to the x axis. = 90 MPa = -60 MPa = 20 MPa
Solution
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Math Problem Analysis
Mathematical Concepts
Plane Stress
Stress Transformation
Inclined Plane
Formulas
σθ = (σx + σy) / 2 + (σx - σy) / 2 * cos(2θ) + τxy * sin(2θ)
Theorems
Stress Transformation Equations
Suitable Grade Level
Undergraduate Engineering
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