- A Steel Pipe With An Outside Diameter Of 115 Mm And An Inside Diameter Of 105 Mm Supports The Loadings Shown Assume A 1 (108.87 KiB) Viewed 61 times
A steel pipe with an outside diameter of 115 mm and an inside diameter of 105 mm supports the loadings shown. Assume a = 470 mm, b = 210 mm, Px = 16 kN, Py = 14 kN, and P₂ = 11 kN. (a) Determine the normal and shear stresses on the top surface of the pipe at point H. (b)Determine the principal stresses and maximum in-plane shear stress magnitude at point H and show the orientation of these stresses on an appropriate sketch. a b
(a) Determine the statically equivalent forces acting on a section at point H. Answers: Fx= -16 kN, Fy= -14 kN, F₂= -11 kN.
(a) Determine the statically equivalent moments acting on a section at point H. Answers: Mx = kN-m, kN-m, My = kN-m. M₂ = 4.27 -7.52 3.36
(a) Determine the section properties needed to calculate the stresses. Answers: A = 1727.8759 mm². J= 5237624.00215 lx = ly = 2618812.001078 Q= 30270.83 mm 4. mm 4. mm³.
(a) Determine the magnitudes of the stresses (report positive numbers here) at H caused by the forces and moments of Parts 1 and 2. Answers: Haxial 6.3661977236758137 MPa, OHbend 93.754343533975886 MPa, THshear 18.494391087786982 MPa, MPa. = THtorque 36.886954833039693 =
(a) Summarize the stresses as they act on an element on the top surface of the pipe at point H with sides parallel to x and z directions. Use the standard naming convention. Answers: MPa, Ox= MPa, O₂ = Txz MPa.
(b) Determine the principal stresses (Op1 > Op2) at point H. MPa, Op2 Answers: 0p1 i| MPa.
(b) Determine the maximum in-plane shearing stress and associated normal stress. Answers: MPa, Tmax= MPa. Oavg ||
(b) On a piece of paper, sketch the x-z stress state and the properly oriented principal stress state. Use the resulting sketch to answer the questions in subsequent parts of this GO exercise. (a) The angle -25.86° locates a principal stress plane. Give the stress value including sign if any. (b) The angle 64.14° locates the other principal stress plane. Give the stress value including sign if any. (c) What stress or stresses occur on a plane at 19.14°? Give the stress value or values including sign if any. Answers: (a) o = MPa, (b) σ= i MPa, (c) σ= i MPa, T = i MPa.