Estimate the normal stress (on) and shear stress (t) on the inclined plane as shown in the below figure, if the plane is inclined by 0. Take gx = 100 MPa, gy = 50 MPa, TXy-35 Mpa, and 0 equals to 39 Degree Txy On てs FIGURE NO. 4 (a)
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- : A hollow, pressurized sphere having a radius r = 4.8 in, and wall thickness t = 0.4 in. is lowered into a lake (see figure). The compressed air in the tank is at a pressure of 24 psi (gage pressure when the tank: is out of the water). At what depth D0will the wall of the tank be subjected to a compressive stress of 90 psi?A brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded in biaxial stress by normal stresses r and cry. (sec figure). A strain gage is bonded to the plate at an angle 4 = 350 If the stress o is 10,700 psi and the strain means used by the gageise = 390 X 106.whatisthcmax- imum in-plane shear stress (Tr, ),. and shear strain (>‘ ).? What is the maximum shear strain (y ) in the x-: plane? What is the maximum shear strain (y ).. in the y-r plane?.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.Plastic bar of diameter d = 32 mm is compressed in a testing device by a Force P = 190 N that is applied as shown in the figure. (a) Determine the normal and shear stresses acting: on all faces of stress elements oriented at (1 ) an angle 8 = 00, (2) an angle ?? = 22.5s, and (3) an angle ?? = 45°. In each case, show the stresses on a sketch of a properly oriented element. What are smaxtmax (b) Find smax and tmax in the plastic bar if a re-cantering spring of stiffness k is inserted into the testing device, as shown in the figure. The spring stillness is 1/6 of the axial stiffness of the plastic bar.The stepped shaft shown in the figure isrequired to transmit 600 kW of power at 400 rpm.The shaft has a full quarter-circular fillet, and thesmaller diameter D1 =100 mm.If the allowable shear stress at the stress concentrationis 100 MPa, at what diameter D2 will thisstress be reached? Is this diameter an upper or alower limit on the value of D2?
- A 1.5-m-diameter cylindrical tank is formed of 6-mm-thick sheet steel (E = 200 Gpa, ν = 0.3). The maximum shear strain occurring in this tank when the contents pressure is 1 MPa, is:A thin cylindrical pressure vessel of 1.2 m diameter generates steam at a pressure of 1.75 N/mm2. Find the minimum wall thickness, if (a) the longitudinal stress does not exceed 28 MPa; and (b) the circumferential stress does not exceed 42 MPaFrom the stress states given, draw the 3D Mohr's circle (lable the principle normal stresses, maximum and absolute shear stresses), and sketch the principle and shear planes. σxx = 70 ksi, σzz = -50 ksi, ?xy = 50 ksi (counterclockwise)
- Explain the method of representing the combination of normal and shear stresses acting on any plane through an incremental element on shear stress–normal stress coordinates.A wood stave pipe, 120 cm in inside diameter, is to resist a maximum water pressure of 1,200 kPa. If the staves are bound by steel flatbands (10 cm by 2.50 cm), find the spacing of the bands if its allowable stress is 105 MPaDefine the term parabolic shear-stress distribution?