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[3]. A hook of triangular cross-section as shown below has a base of 50 mm and altitude of 75 mm. If the radius of
[3]. A hook of triangular cross-section as shown below has a base of 50 mm and altitude of 75 mm. If the radius of curvature is 50 mm at the inner curved surface, what is the allowable safe load on the hook if permissible tensile and compressive yield strength limits are 105 MPa and 84 MPa respectively. The load line is 75 mm from the edge of the inner surface. Note that the centroidal axis passes through point G on the right sketch. Also, the center of curvature is at point C and the base of the triangle is towards the center of curvature. Neutra axis is marked by line NA (3 marks) Hook R R = 75 IN dok CI G A 50 50 Load line 50 W W 75 50 25 (all dimensions in mm) dA Hint: For the determination of In value, one will need to solve for the integral d^ where dA = bdv. where b is width of the strip. Also, for integration, one would need to come up with a geometric relationship between v and b parameter that should satisfy the boundary conditions of b = 0 when v=125 mm, and b = 50 mm when v=50 mm, for the triangular cross-section.
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