shows the state of stress at a certain point in a stressed body. The The figure magnitudes of normal stresses in the x and y directions are 100 MPa and -20 MPa respectively. The radius of Mohr's stress circle representing this state of stress is Ox Gy Gy 6x
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- 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 OConsider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical planes at the point are shown. Assume'stress magnitudes of 5,-80 MPa, S - 220 MPa. Sy For the given state of stress at a point in a structural member, determine the center Cand the radius R of Mohr's circle. Answers: C- MPa, R- i MPa. Save for Later Part 3 Determine the principal stresses (api > Op2 ) for this state of stress. Answers: Opl = MPa, o,2 = MPa Save for Later Part 4 For this Mohr's circle, determine the magnitude of the central angle between: (a) pointxand the point representing the principal stress opl- (b) point x and the point representing the principal stress Op2. (a) Angle - i (b) Angle - iThe stresses shown in the figure act at a point on the surface of a structural element. Using Mohr’s circle, determine the following: 1. Calculate the absolute value of the normal stress x at the point in MPa. 2. Calculate the absolute value of the normal stress y at the point in MPa. 3. Calculate the absolute value of the shear stress xy at the point in MPa. 4. Calculate the absolute value of the minor principal stress in MPa. 5. Calculate the absolute value of the major principal stress in MPa. 6. Calculate the absolute value of the maximum shear stress in MPa. Kindly answer all with complete solution please. Needed ASAP
- A state of stress at a point is the result of two separate actions that produces the stress states as shown (a) in figure-3. Analyze the given stress states and determine the principal stresses and principal planes by superposition of these stress states. 15 MPa 35 MPa/ 45° 30° Figure 3 (Q. No. 3a)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°The state of stress in a deformable body is shown in the figure. Consider transformation of the stress from the x-y coordinate system to the X-Y coordinate system. The angle 0, locating the X-axis is assumed to be positive when measured from the x-axis in counter-clockwise direction y = 120 MPa 40 MPa Oxy 50 MPa %3D 30% Oyy = 35.6 MPa The absolute magnitude of the shear stress component o,xy (in MPa, round off to one decimal nlace) in x-y coordinate system is
- : The state of plane stress at a point is represented by the stress element shown in figure 2. Apply the concept of analytical method to find stresses acting on an element oriented at 30° counter clockwise with respect to the original element. 50 MPa 80 MPa 80 MPa 50 MPa Figure 2Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on the horizontal and vertical planes at the point are shown in the figure. Note that the given stress values are absolute values and stress sign should be determined based on the figure. [o 107 MPa, o = 172 MPa, t= 149 MPa] Oy Try Determine the principal normal stress a A8T 7 MMPThe 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 Cy
- 3 - A strain gauge is attached to the side of a beam, as shown by the cross-section view in the figure. When the beam is subjected to a specified uniform moment, the longitudinal strain measured by the gauge is -300μ. Plot the axial stress profile over the height of the cross- section. What is the magnitude of the moment that produced this strain gauge reading? Assume E = 75 GPa. 10↑ Strain gauge dimensions in mm 30 30 beamcross-sectionProblem 7.2-18 The surface of an airplane wing is subjected to plane stress with normal stresses o, and oy and shear stress 7y, as shown in the figure. At a counterclockwise angle 0 = 32° from the x axis, the normal stress is 37 MPa tension, and at an angle 0 = 48°, it is 12 MPa compression. If the stress o, equals 110 MPa tension, what are the stresses o, and T,? Oy Txy o, = 110 MPa(Problems No. 1- 3) The state plane stress at a point is represented by the stress element below. Determine the stresses acting on an element oriented 30 degree counterclockwise respect to the original element. Calculate the normal stress at the y-axis 60 MPa 20 MPа 90 MPа O a. 75.60 MPa O b. -24.60 MPa 69.8 MPa O d. -39.8MPA