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Question 5 Stress Transformation 30 The stresses acting on element A in the web of a train rail are found to be 52 MPa tension in the horizontal direction and 130 MPa compression in the vertical direction, as shown in Figure 7 below. Also, shear stresses of magnitude 60 MPa act in the directions shown. (a) Determine the stresses acting on an element oriented at a counter-clockwise angle of 48° from the horizontal. Show these stresses on a sketch of an element oriented at this angle. (b) Determine the principle stresses and the angle at stresses on an appropriate sketch. Determine the maximum shear stress, associated normal stresses and the angle at which they occur. Show these stresses on an appropriate sketch. (c) (10) ST 52 MPa 60 MPa Fig. 7: Stress Element 130 MPa

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evda y130 mpa Go Sinc2 x 13) 6no 86 mpa zy 矻ー-148 mpaon Strere Tan 29 - = 16-61102 = 【06.6 maxumum s 2 A(52, Ge) 〈 A(2.6.3) G)} β(-6.53) scale! plores

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