A block is subjected to the stresses as shown in Fig. 1. If the allowable compressive normal stress is 34 MPa. Determine: (a) the maximum allowable value of (o).(b) the normal shear stress in MPa.(c) the principal stresses and their directions.(d) the maximum shear stress and direction.(e) from previous results draw Mohr's circle stress and indicate all stresses and their directions. 20 100 MPa 20
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- The stresses acting on an element are x= 750 psi, y= 600 psi, and xy = 400 psi. Determine the principal stresses and show them on a sketch of a properly oriented element.- A specimen used in a coupon test has norm al stress ??. = 15 MPa (see figure). Using Mohr’s circle, find the state of stress on the element oriented at angle ? = 20° and show the full stress state on a sketch of a properly oriented element.At a point on the web of a girder on an overhead bridge crane in a manufacturing facility, the stresses arc known to be x = —4300 psi, a = 1700 psi, and r = 3100 psi (the sign convention for these stresses is shown in Fig, 7-1). A stress clement located at the same point in the structure (but oriented at a counterclockwise angle 0, with respect to the _y axis) is subjected to the stresses shown in the figure {b, r», and 2100 psi). Assuming that the angle 8Xis between zero and 90°, calculate the normal stress trA, the shear stress ta, and the angle Bv
- (a) Construct Mohr's circle for an element in a uniaxial state of stress (b) Use this Mohr's circle to derive the equation for the normal stress On and shear stress En on the n-face. The equations should depend on Ox and θ (c) Use the Mohr's circle to determine the planes on which the maximum shear stress acts. Sketch a properly oriented maximum-shear-stress element and indicate the normal and shear stresses acting on its faces. Ơn nt o, Note: for (b), the angle θ is between 0 and 90° and is positive2. 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.Mohr's Circle The major and minor principal stresses acting at a point are 80 psi compression and 20 psi tension. (a) Draw the Mohr's circle for this stress combination. (b) What is the maximum shear stress acting at the point, and what value of normal stress acts on the plane? (c) Determine the value of the shear and normal stress acting on a plane that is 30° from the major principal plane. kindly answer the following with a complete solution so that i can understand how to solve it. thank you
- For the following data, using Mohr's circle of stress and trigonometry, (a) Find the principle stresses and show their sense in properly oriented element and (b) find the maximum (principle) shear stresses with the associated normal stresses and show the results on a properly oriented element.Assume the plane stress element shown in Fig. E3-a represents the stress a geosynthetic membrane used in a mechanically stabilized earth wall. If the reference state of stress for this element results in the Mohr’s circle plot shown in Fig. E3-b, determine: The principal stresses. The principal directions (angles to the principal planes). The maximum in-plane shear stress. It is known that the seam, which is rotated 45 deg from the vertical as shown in Fig. E3-c, will fail if subjected to a tensile stress of 25 kPa or a shear stress of 1 kPa. Determine the normal stress and shear stress acting on the seam, and state if the seam will fail due to the loading indicated.Consider the plane stress element shown in representing the state of stress at a material point. If the magnitudes of the stresses are such that ox 210 Pa, oy = 110 Pa, and = - Txy = 70 Pa, calculate the magnitudes of principal stresses oj and 02, and the maximum shear stress, Tmax, generated at %3D this material point. (a) Record here the the positive of the two principle stresses. (b) Record here the the negative of the two principle stresses. (c) Record here the the maximum shear stress. Tyz Oy
- Consider the 2-D state of stress shown below. Using the provided scales graph the Mohr's Circle for the 2-D state of stress with “full" details II-Obtain the Principal Stresses, the Maximum Shear Stress, and complete the table below III- Draw the Planes of Principal and Maximum Shear Stresses in the space provided below Provide "full" details and Use 3 Sig. Fig. in this problem Oy = 15 Ksi Tcw > S y Ox =10 Ksi Тух 5 Ksi 10 5 -20 -15 -10 5 10 15 20 5 10 Tccw > S' O Avg. TMax. 01 02 Op1Q-1 Figure Q-1, below, shows Mohr's cirde for a point in a physical object that is subjected to plane stress. (a) Determine the stresses Ox, Oy, and Txy, and show them on a stress element, properly orientedwith reference tox-y axes. (b) Determine the principal stresses o1, 02, and Tmax and show them on a stress element properly rotated with respect to the x-y element (c) Determine the stresses ơn, Ot and Trt, and show them on a stress element that is properly rotated with respect to the x-y element The sketches must indude the magnitude of the angles w.rt. positive x-axis as well as the angle between the x and n axes, and an indication of the direction of rotations (1.e., either clockwise (c.w.) or counterdockwise (c.C.w.)). 1 grid square 3 MPa1. For the two cases i.e. (a) 2D and (b) 3D shown below, find the principal stresses, maximum shear stresses and directions by using Mohr’s circle. Support your answers with diagrams. 41 GOMPa 60MPR Txy=40MPA 40MPA (a) (b)