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Unformatted text preview: • Estimate stress graphically using Mohr’s circle • For a known state of plane stress  plot center ( ave )  plot point X ( ,  )  plot point Y ( y , )  connect X and Y through C 2 2 2 2 x y x y ave xy R σ σ σ σ σ τ + − ⎛ ⎞ = = + ⎜ ⎟ ⎝ ⎠ • The principal stresses are obtained at A and B . max,min 2 tan 2 ave xy p x y R σ σ τ θ σ σ = ± = − Mohr’s Circle for Plane Stress σ σ x σ τ xy τ xy + Mohr’s Circle for Plane Stress • For the state of stress at an angle with respect to the xy axes, construct a new diameter X’Y’ at an angle 2 with respect to XY . • Normal and shear stresses are obtained from the coordinates X’Y’. θ θ • The three circles represent the normal and shearing stresses for rotation around each principal axis. min max max 2 1 σ σ τ − = • Radius of the largest circle yields the maximum shearing stress. Mohr’s Circle for ThreeDimensional Analysis of Stress Mohr’s Circle for ThreeDimensional Analysis of Stress b) the maximum shearing stress for the element is equal to the maximum “in plane” shearing stress...
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This note was uploaded on 12/14/2010 for the course ENGR 2530 taught by Professor Lindaschadlerfeist during the Fall '08 term at Rensselaer Polytechnic Institute.
 Fall '08
 LINDASCHADLERFEIST
 Stress

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