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A Rectangular Plate in Plane Stress Is Subjected to Normal σx\sigma_{x}

Question 73

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A rectangular plate in plane stress is subjected to normal stresses σx\sigma_{x} and σy\sigma_{y} and shear stress τxy+\tau_{\mathrm{xy}^{+}} . Stress σx\sigma_{\mathrm{x}} is known to be 15 MPa, but σy\sigma_{y} and τxy\tau_{x y} are unknown. However, the normal stress is known to be 33 MPa at counterclockwise angles of 35° and 75° from the x axis. Based on this, the
Normal stress σy\sigma_{y} on the element in the figure is approximately: (A) 14MPa 14 \mathrm{MPa}
(B) 21MPa 21 \mathrm{MPa}
(C) 26MPa 26 \mathrm{MPa}
(D) 43MPa 43 \mathrm{MPa}

 A rectangular plate in plane stress is subjected to normal stresses  \sigma_{x}  and  \sigma_{y}  and shear stress  \tau_{\mathrm{xy}^{+}}  . Stress  \sigma_{\mathrm{x}}  is known to be 15 MPa, but  \sigma_{y}  and  \tau_{x y}  are unknown. However, the normal stress is known to be 33 MPa at counterclockwise angles of 35° and 75° from the x axis. Based on this, the Normal stress  \sigma_{y}  on the element in the figure is approximately: (A)   14 \mathrm{MPa}   (B)   21 \mathrm{MPa}   (C)   26 \mathrm{MPa}   (D)   43 \mathrm{MPa}

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