A state of stress is specified in the figure shown. Determine the principal stress oy (mPa) if P =-20 mPa and y = 15 mPa P V
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- 2. For the state of stress shown, determine the range of value of for which the normal is equal to or less than 100 MPa and 50 MPa. stress x' + 90 MPa 60 MPa =A state of stress is specified in the figure shown. Determine the principal stress oy (mPa) if P =-27 mPa and v = 20 mPa PA steel wire (E = 200 GPa) of diameter d = 1.0 mm is bent around a pulley of radius Ro= 400 mm (see figure below). Ro a. What is the maximum stress in the wire? b. Does the stress increase or decrease if the radius of the pulley is increased?
- The stresses at a point in a bar are o1 = 28N/mm2 (tensile) and o2=12N/mm2 (compressive) as shown in Figure (a) Determine the normal, tangential and resultant stress in magnitude and direction on a plane inclined at 55° to the axis of the major stress. (b) Determine the maximum intensity of shear stress in the material at the point. (c) Also, solve the same problem using Mohr's circle method and compare the results. O2 Axis of Major Stress 55°Consider the state of stress as shown in figure. What will be the principal stresses? 02= 16Mpa oy= – 48 M pa, Try = 60 Mpa T 48 Mpa + 16 Mpa 60 MpaThe stresses shown in the figure act at a point on the free surface of a machine component. If o= 45 MPa in the direction shown, determine the normal stress oy at the point. Ox 27 MPa 30° 50 MPa O-16.3 MPa O-19.5 MPa O-22.8 MPa O-17.2 MPa O -20.5 MPa
- A load of 1000 N is applied as shown in figure, given cross-sectional area of bar 1 & 2 is 100 mm² & 80 mm2, young modulus of elasticity E₁ = 120 GPa, E₂ = 150 GPa. Calculate the minimum normal stress (in MPa) (1) (2) P= P= 1000 NThe state of stress at a certain point in a stressed body is shown in figure. The magnitudes of normal stresses in x & y directions are 100 MPa& 100 MPa respectively. Determine the radius of Mohr's circle representing this state of stress (in MPa). Ox Oy CyM A cylinder of outer radius R2=100 mm is fitted on another cylinder of outside radius R₁=85 mm with thickness t=30 mm, as depicted below. If the (tensile) maximum hoop stress at the interface between the two cylinder is 90 MPa, solve the following questions (E=105 MPa and v=0.15). === R₁ What is the radial stress between the cylinders? What is the shrinkage allowance at the interface? ( M R₂ )
- 1) The state of plane stress at a point is shown on the element in Figure. Determine the maximum in-plane shear stress at this point. B 50 MPa ox Ox= -80 MPa = +50 MPa Oy Txy = -25 MPa 80 MPa 80 MPa A 25 MPa Ľ 50 MPa3. An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown in the figure. Axial loads are applied at the positions indicated. Find the maximum value of P that will not exceed a stress in steel of 140 MPa, in aluminum of 13.05 ksi, or in bronze of 100 MPа. Aluminum A = 400 mm? Bronze A = 200 mm Steel A = 500 mm? 2P 4D 2.5 m 2.0 m 1.5 mThe stress concentration occurs whenever there is an abrupt change in the cross-section of a component or there is any discontinuity in the material. The figure given below shows a flat plate with a hole of diameter d. The plate is fixed at one end and the other end is subjected to a tensile load of P = 44 kN due to which there is a change in length of 0.4 mm. The thickness of the plate is 11.5 mm. The maximum stress developed in the flat plate is 228 MPa. Take Young's modulus(E) = 210 GPa and theoretical stress concentration factor =2, Calculate the following values: i) Width of the plate (W2) in mm ( ii) Nominal Stress in MPa ( iii) Diameter of the hole (d) in mm