Learning Goal: To use the superposition principle to find the state of stress on a beam under multiple loadings. Cy =, C = , N = , V = , M = N. kN, kN, N, kN-m The beam shown below is subjected to a horizontal force P via the rope wound around the pulley. The state of stress at point A is to be determined. Submit Part B - Properties of the Cross-Section di What are the cross-sectional area, moment of inertia with respect to the neutral axis, and first moment of the area with respect to point A for the beam? Express your answers, separated by commas, to three significant figures. 20 mm • View Available Hint(s) 100 mm 200 mm 15 mm - V AEo It vec 20 mm 150 mm -f A =,I =,Q = m2, m*, m³ The dimensions are di = 1.75 m, de = 0.9 m, da = 1.4 m, d4 = 310 mm, andr = 180 mm. The applied force has magnitude P = 4.5 kN. Submit Part C - The State of Stress at A What are the normal and shear stresses at point A? Express your answers, separated by a comma, to three significant figures. > View Available Hint(s) Πνα ΑΣφ vec ? OA =, TA = MPa, MPa Submit

7-3. For the given state of stress shown, determine: (a) the principal stress, and (b) the maximum in-plane shear stress and the associated average normal stress. Also, for each case, determine thecorresponding orientation of the element with respect to the element shown, and sketch the results oneach element.

8 Expansion is an axial deformation. 9 True 10 False The coordinates of centroid locate the ge ometric center of the cross-section of the material.( True False Torsional stress is also known as bending stress.( True False

The state of stress at a point in a member is shown on the element. Determine the principal normal stresses and their orientation and the maximum in-plane shear stress and their orientation. Draw Mohr’'s circle and Show results on properly oriented elements. -60 30 -50 40 -40 T-30 30 30 -20 40 30 -10 -60 -50 -40 -30 -20 -10 30 40 50 10 20 бо 10 20 30 40 50 60