The uniform steel (E =200 GPa) bar in Fig. has a diameter of 40 mm and is subjected to the loading shown. Determine the displacement of sections A, B, and C, relative to D. Show the displacements on a diagram.
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Distance from point A to B 200mm, from B to C 200mm, and from C to D 200mm.
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- The three-bar truss in Fig. a is subjected to a horizontal force of 5 kip. If the cross-sectional area of each member is 0.20 in2, determine the horizontal displacement at point B. E = 29(103) ksi.The assembly below consists of a steel rod CB and an aluminium rod BA, each having a diameter of 12 mm. If the rod is subjected to the axial loadings at A and at the coupling B, determine the displacement of the coupling B and the end A. The unstretched length of each segment is shown below. Neglect the size of the connections at B and C, and assume that they are rigid. Est = 200 GPa, Eal = 70 GPa.The bearings at A and D exert only y and z components of force on the shaft as shown in Fig 7. Determine the smallest diameter of the shaft using maximum shear stress hypothesis theory if the allowable stress is 100 MPa.
- Steel bar in shape, AAB 600 mm and ABc = DACD3D 1200 mm2 are made of two stages. Determine the displacement at end A in (mm). E = 200 GPaA unique column has been created with the geometry shown below, where the radius is r = (0.6e-0.08y2) m, the variable y is in meters. The column density of the column material is ρ = 3.21 Mg/m3. Determine the average normal stress at the bottom of the column (y = 0) in units of Pa.Determine the vertical displacement of plate A due to shear deformations in the rubber. The cross-sectional dimensions of each shoe are 35mm X 25mm. G = 0.3 Mpa,
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- The bar shown has a constant width of 35 mm and a thickness of 10 mm. determine the maximum average normal stress in bar when it is subjected to the loading shown in figureThe set shown in the figure consists of an aluminum ABC tube, with section AB having a diameter of 20mm and section BC having a diameter of 60mm. Knowing that the load P has a magnitude of 4 kN, determine:The. The value of the load Q so that the displacement of point A in relation to C is zero; B. The total deformation value, when Q = 2kN.Data: E = 70 GPaA 37.5-mm-diameter rod 6 mlong elongates 12 mm under a load 236 KN. Thediameter of the rod decreases 0.025 mm during theloading. Determine the following properties of thematerial: (a) Poisson’s ratio.(b) Young’s modulus(c) The modulus of rigidity.