Acurved beam is subject to bending and torsional loading. the beam is of circular cross section of diameter 40 mm. the center of curvature is 100 mm from the centroidal axis of the cross- section. at the critical cross-section, the bending moment is 150 n. m and the torsional moment is 370 n. m. in addition, an axial force reaction of 15 kn also acts at the cross section. the beam is made of ductile aluminum alloy of yield strength in tension of 130 mpa and yield strength in compression of 190 mpa. 20 mins,
(a) calculate the distance between the centroidal and neutral axis: er.
(b) at the outermost point on the cross-section, calculate the bending stress =
(c) at the same outermost point calculate the torsional shear stress te
(d) at the same outermost point calculate the axial stress: 0,=
(e) calculate the principal stresses and the maximum shear stress at the point: - mx
(f) find the safety factor using the appropriate theory (or theories if more than one applies).