In a plane stress condition, the principle stresses of 100 MPa (Compressive) and 50 MPa (Tensile) are acting on XY plane. The yield stress of material as per maximum shear stress theory if FOS is 2.5 is
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- A state of stress is specified in the figure shown. Determine the principal stress oy (mPa) if P =-27 mPa and v = 20 mPa P1) 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 MPaQ.5 A component of machine made of steel which resist a biaxial state of stress o,= -120 MPa and t = 100 MPa. Check whether this part is safe or fail using 1. Max. principal stress theory 2. Max principal strain theory 3. Max. distortion energy theory.
- a L₁ C 3 of 6 > Determine the orientation of the planes maximum and minimum normal stress, ₂1 and ₂2. respectively. Use the value for 8,2 that is negative. Then use this value to determine the value of 8,1. Express your answers to four significant figures separated by a comma. ► View Available Hint(s) VAΣo↓ vec ? 8p1, 8p2= Submit Part B - In-plane principal stresses Determine the in-plane principal stresses for the element (as oriented in Part A), and calculate 01 and 2 such that they correspond with 81 and 8,2. Express your answers to four significant figures separated by a comma. ► View Available Hint(s) IVE ΑΣΦ vec ? 5 OThe 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°Find the lightest S-shape for the beam shown if the working stress in bending is 120 MPa. What is the maximum bending stress in the beam selected? Lightest S-shape beam =Maximum bending stress (MPa) =
- Strength For the state of plane stress shown, determine the largest value of o, for which the maximum in plane shear stress is equal to or less than 75 MPa. After you determine the value, draw Mohr circle for the caseq10At a point in a two dimensional stress system, the normal stress on two mutually perpendicular planes are o and o and shear stress is t One of the principal stresses will become zero when the value of shear stress Txy is (a) ±(0) (c) ±/0 +0yy (d) +/oo yyDetermine the stress components at point H. And show the stress state for this point on a volume cubic element given below.
- The stress which acts in a direction perpendicular to the area is called O a. Strain Stress O b. Thermal stress O c. Normal stress O d. Shear stressThe 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 = 41 kN due to which there is a change in length of 0.4 mm. The thickness of the plate is 11 mm. The maximum stress developed in the flat plate is 235 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 Hole with stress concentration factor 2 35 mm W2 35 mm P 300 mm 350 mm- 250 mmAs shown in the figure below the two planes PQ and QR are having shear stress of 40 MPa. The plane PQ carries the tensile stress of 60 MPa. Find the value of normal and shear stress on the plane PR if the angle between the plane PR and QR is 60°.