Learning Goal To Use The Superposition Principle To Find The State Of Stress On A Beam Under Multiple Loadings The Bea 1 (86.5 KiB) Viewed 27 times
Learning Goal: To use the superposition principle to find the state of stress on a beam under multiple loadings. 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. 1d₂ d₁ da d₂ 100 mm 15 mm- 20 mm 150 mm - 1 The dimensions are d₁ = 2.25 m, d2 = 0.65 m d3 = 0.95 m. d4 = 325 mm, and r = 190 mm. The applied force has magnitude P = 6 kN. 20 mm 200 mm Part A - Support Reactions and Internal Loading Determine the support reactions Cy and C and the internal normal force, shear force, and moment on the cross-section containing point A. Express your answers, separated by commas, to three significant figures. ► View Available Hint(s) AEO Ivec ? Cy=, C₂, N=₁V=, M = N, KN, KN, N, kN-m Submit Part B - Properties of the Cross-Section 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. ▸ View Available Hint(s) VE ΑΣΦ | 11 | vec ? A = I= Q = m² m² m³ 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) 15. ΑΣΦ 41 vec ? g JA TA= Submit MPa, MPa
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