For figure shown below, the force, F, is 850 N and all dimensions are in millimeters. What is the normal stress at point A? What is the shear stress at Point A? Considering these two stresses acting at point A, what is the von-mises stress at point A? What is the normal stress at point B? RIGID WAL POINT B 025 POINT A 120 160 FL M-
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- -18 through 7.4-25 An clement in plane stress is subjected to stresses a,, ay., and axy. (see figure). Using Mohr’s circle, determine (a) the principal stresses and (b) the maximum shear stresses and associated normal stresses. Show all results on sketches of properly oriented elements.An element in plane stress on the fuselage of an airplane (figure part a) is subjected to compressive stresses with a magnitude of 42 MPa in the horizontal direction and tensile stresses with a magnitude of 9.5 MPa in the vertical direction (sec figure part b). Also, shear stresses with a magnitude of 15.5 MPa act in the directions shown. Determine the stresses acting on an element oriented at a clockwise angle of 40g from the horizontal. Show these stresses on a sketch of an element oriented at this angle.-18 through 7.4-25 An clement in plane stress is subjected to stresses sx,,sy., andtxy(see figure). Using Mohr’s circle, determine (a) the principal stresses and (b) the maximum shear stresses and associated normal stresses. Show all results on sketches of properly oriented elements.
- At a point on the surface of an elliptical exercise machine, the material is in biaxial stress with t = 1400 psi and trv = —900 psi, as shown in the figure part a. The figure part b shows an inclined plane aa cut through the same point in the material but oriented at an angle ft Determine the value of the angle 6 between zero and 90° such that no normal stress acts on plane aa. Sketch a stress clement having plane aa as one of its sides and show all stresses acting on the clementThe stresses acting on element A on the web of a train rail (sec figure part a) a re found to be 6500 psi tension in the horizontal direction and 18,500 psi compression in the vertical direction (see figure part b), Also, shear stresses with a magnitude of 3800 psi act in the directions shown. Determine the stresses acting on an clement oriented at a counterclockwise angle of 30° from the horizontal Show these stresses on a sketch of an element oriented at this angleSolve the preceding problem for an element in plane stress on the bottom surface of a fuel tanker (figure part a); stresses are sx= 105 MPa, sy. = 75 MPa, and ??xy= 25 MPa. Determine the stresses acting on an element oriented at an angle ?? = 40° from the x axis, where the angle is positive when counterclockwise. Show these stresses on a sketch of an element oriented at the angle ??.
- ‘7.3-11 The stresses on an element are sx= -300 psi and sy= 600 psi. Find the maximum shear stresses on the element and show them on a sketch of a properly oriented clement.2. At a point in a brocket, the stresses on two mutually perpendicular planes are 180 MN/m? (tensile) and 70 MN/m2 (Compressive). The shear stress across the planes is 65 MN/m2. Find the following by Mohr's Circle method and compare with Analytical solutions: (i)The Normal stress on a plane making an angle of 50° with the plane of first stress. (ii)Shear stress on the plane (iii) Maximum shear stress (iv) Resultant stress and it's direction. (v) Major and minor principal stresses.The stresses acting on element A in the web of a train rail are found to be 'X (MPa)' tension in the horizontal x-direction and 'Y (MPa)' compression in the vertical y-direction. Also, shear stresses of magnitude 'S (MPa)' act in the directions shown in the figure. Draw Mohr's circle for the state of stress. Determine the stresses (Ox', Oy' and Txy') acting on an element oriented at an angle 'D' from the horizontal Show these stresses on a sketch of an element oriented at this angle X=45MPA,Y=150MPA,S=52MPA,D=-40 Degree
- Problem 3: For the plane stress state listed below, draw a Mohr's circle diagram properly labeled. Keep in mind that the principal stress is that stress state where the shear stress is zero. That means it is the stress state along the normal stress line in Mohr's space. So, use your Mohr's circle to find the principal normal and shear stresses, and determine the angle from the x axis to o1. 0x = 16 kpsi, oy = 9 kpsi, Ty = 5 kpsi ccwMohr's circle is shown for a point in a physical object that is subjected to plane stress, Each grid square is 13 MPa in size. (a) Determine the stresses o, 0, and the magnitude of t, and show them on a stress element. (b) Determine the stresses a o, and the magnitude of Ta and show them on a stress element that is properly rotated with respect to the xy element. The sketch must include the magnitude of the angle between the x andnaxes and an indication of the rotation direction (ie, either clockwise or counterclockwise). Answer: (a) d. MPa dy. 110.0720 MPa Ty 1100720 MPa (b) C- s8.3065 MPa 16230865 MPa Tat- 110.3086 MPa1. Given a combination of stresses on an element shown in the figure, (a) draw a Mohr's circle representing the complete state of stress of the element, i.e. show prinicpal stresses (01,02), maximum shear stresses (Tmax), principal direction (0p), original orientation, and original stresses (Ox, Oy, Txy). (b) draw three-dimensional Mohr's circles showing the three principal stresses and absolute maximum shear stress. Oy = -50 MPa Txy 20 MPa Ox = -150 MPa