(A) 99 MN/m^2 (B) 53 MN/m^2 at right angles to (a).
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- .4 The stresses on an clement arc known to be sx= 120 MPa, sy= 100 MPa, and txy= 75 MPa. Find the stresses on an inclined section through the element at an angle ? = 45°.The hollow drill pipe for an oil well (sec figure) is 6,2 in. in outer diameter and 0.75 in. in thickness. Just above the bit, the compressive force in the pipe (due to the weight of the pipe) is 62 kips and the torque (due to drilling) is 185 kip-in. Determine the maximum tensile, compressive, and shear stresses in the drill pipe.Two forces are applied on the beam shown below. (a) Determine the normal and shear stresses at point B on the shown cross-section. (b) Show the state of stress at the point B on a volume element. 400 lb B 1 in. 2 in. 500 Ib 2 in 10 in. 1.5 in. 1.5 in. Show your steps and highlight the following answers please I =
- The thickness of the bracket is 0.75 in. Draw a neat Mohr's circle 3 kips for the state of stress at point K, and use the Mohr's circle to determine 30 K. 2.5 in. (a) the principal stresses at K, (b) the maximum in-plane shear stress and average normal 2 in. 5 in: stress at K. Sketch the answers on correctly rotated elements.Problem 2: For the shaft shown below, determine the normal and shear stresses acting on the element located at point A, including stress concentrations. Then draw the stress element at A with the applied stresses and determine the three principal stress (0₁, 02 and, 03) using Mohr's circle. r= 0.0042 m, d = 0.03 m, D = 0.033 m, T= 250 Nm P = 1500 N, M = 300 Nm, A M T J.C₁ P r M T Di dFor the shown element, what are the principal stresses and their orientations (ew, cew), draw the new element 40 MPa + 35 MPa 60 MPa
- A machine component is fabricated from a bent tube as shown below. One part of the tube lies along the z- axis, and the other part is parallel to the y-axis. The outside diameter of the tube is do 122 mm and its inside diameter is dį = 108 mm. A force F = 8.5 kN acts along a line from point to point D. Determine the principal stresses and the absolute maximum shear stresses at points A and B. Note that point A lies along the y-axis and point Blies along the x-axis. Given: • L₁ 258 mm L₂ = 118 mm • L -281 mm LA-602 mm 4 P (α₂₁)A- (₁2) A (Tmax) A L2 Z ²1 00 B L₁7 number (rtol=0,01, atol=1e-05) number (rtol-0.01, atol-1e-05) number (rtol-0.01 atol-le-057 F 0 MPA LA D L3 y 0 0Q#1 Using Mohr's Circle for the figure shown, (a) determine the stresses acting on an element oriented at an angle 0=25° counter-clock wise from the r-axis. (b) Show these stresses on a 5.5 MPa 27 MPa sketch of an element oriented at the angle 0. (c) Also find principal angles and principal Jio.5 MPa stresses. 1.Mohr's Circle The major and minor principal stresses acting at a point are 80 psi compression and 20 psi tension. (a) Draw the Mohr's circle for this stress combination. (b) What is the maximum shear stress acting at the point, and what value of normal stress acts on the plane? (c) Determine the value of the shear and normal stress acting on a plane that is 30° from the major principal plane. kindly answer the following with a complete solution so that i can understand how to solve it. thank you
- A steel pipe with an outside diameter of 115 mm and an inside diameter of 105 mm supports the loadings shown. Assume a = 510 mm, b = 230 mm, Px = 20 kN, P, = 16 kN, and P, = 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 |P, y P: P H KConsider the plane stress element shown in representing the state of stress at a material point. If the magnitudes of the stresses are such that ox 210 Pa, oy = 110 Pa, and = - Txy = 70 Pa, calculate the magnitudes of principal stresses oj and 02, and the maximum shear stress, Tmax, generated at %3D this material point. (a) Record here the the positive of the two principle stresses. (b) Record here the the negative of the two principle stresses. (c) Record here the the maximum shear stress. Tyz OyAt a point in a stressed body, the cartesian components of stress are Oxx = 60 MPa, Guy = -40 MPa, Ozz = 20 MPa, Txy = -40 MPa, Tyz = 20 MPa, and Txz = 30 MPa. Determine: (a) The principle stresses and their direction cosines. (b) The normal and shear stresses on a plane whose outer normal has the following direction cosines: cos (n,x) = 0.429; cos (n, y) = 0.514; cos (n, z) = 0.743