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Question: a concrete element is subjected to proportional plane stress loading...

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A concrete element is subjected to proportional plane stress loading (i.e. the applied stresses are in constant proportion) such that: ơ--3.5 τ xy where τxy is the applied shear stress. There are no stresses in the z direction σχ ry The element can fail by either cracking of the concrete (when the principal tensile stress reaches the cracking stress, f, or by crushing of the concrete (when the principal compressive stress reaches the crushing stress, -f ). Given f, 2.0 MPà and f 25 MPa, determine the maximum shear stress that can be appliedwhat is the orientation of the plane of failure with respect to the x axis for the concrete element?

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