A state of plane stress is shown a.) Determine the maximum principle stress, in ksi у 6,000 psi 8,000 psi 4,000 psi
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- - 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.-4. - An element in plane stress is subjected to stresses ??x= 105 MPa, ??y= 75 MPa, and sxy= 25 MPa (see the figure for Problem 7.3-1). Determine the principal stresses and show them on a sketch of a properly oriented element.3. For the state of stress shown below, calculate the principal stresses and maximum shear stress. 60 MPa Txy = 20 MPa 90 mla
- The thickness of the bracket is 0.75 in. Draw a neat Mohr's circle 3 kips for the state of stress at point K, and use the Mohr's circle to determine 30 K. 2.5 in. (a) the principal stresses at K, (b) the maximum in-plane shear stress and average normal 2 in. 5 in: stress at K. Sketch the answers on correctly rotated elements.Problem 1: A state of plane stress at a point on the surface of a structure consists of the following stress components: Ox = 25 ksi, oy = 12 ksi, and Txy = 10 ksi. Note that the stress components act in the directions shown on the element below. Ox Txy 12 ksi 5 25 ksi 10 ksi (a) Draw a complete Mohr's circle for this stress state. Clearly label the X and Y faces, the center C, and the radius R. (b) Using Mohr's circle, determine the principal stresses, the maximum in-plane shear stress, and the normal stress that acts on the maximum shear stress plane. Label all of these quantities on the circle. (c) Calculate the orientation of the principal planes and the planes of maximum shear stress. Label all of these quantities on the circle. (d) Show all stresses from part (b) on properly oriented stress element(s). Be sure to include all stress components acting on the elements(s).Construct a Mohr's circle for the following point stresses: ox = 60MPa, oy = 10MPa and Txy = +20MPa, and hence determine the stress components and planes in which the shear stress is a maximum.
- Problem 2: A state of plane stress at a point on the surface of a structure consists of the following stress components: Ox = 18 ksi, oy = 24 ksi, and Txy = 15 ksi. Note that the stress components act in the directions shown on the element below. Ox Txy 24 ksi бу 18 ksi 15 ksi (a) Draw a complete Mohr's circle for this stress state. Clearly label the X and Y faces, the center C, and the radius R. (b) Using Mohr's circle, determine the stress components Ox, Oy, and Txy on an element rotated 25° counter-clockwise from the original element shown. Label all of these quantities on the circle. (c) Show all stresses from part (b) on a properly oriented stress element. Be sure to include all stress components acting on the element.Compute the equivalent von Mises' stress, deq. for the following plane stress state. %₁ = -40 ksi, 0₂=-12 ksi, T12 = 5 ksiConsider 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 Op1
- Consider the following plane stress state: Ox= -4 MPa, oy= 12 MPa, Txy=7 MPa ccw Calculate the following: 1. The coordinates of the center of the Mohr's circle C The location of the center of the Mohr's circle Cis MPа, MPa). 2. Principal normal stresses (01, 02) The principal normal stresses are o1 = MPa and o2 = MPа. 3. Maximum shear stress (T) The maximum shear stress is MPа. 4. The angle from the x axis to o1 (Pp) The angle from the x axis to o1 (Pp) is (Click to select) v 5. The angle from the x axis to 7 (s) The angle from the x axis to 7 (Ps) is (Click to select) v 6. The radius of the Mohr's circle The radius of the Mohr's circle is MPa. Prev 1 of 2 Next >Question: Find schematically the normal and shear stresses in the plane when the element in the plane stress state is rotated 30 degrees counterclockwise with the Mohr circle.Problem 2: For the shaft shown below, determine the normal and shear stresses acting on the element located at point A, including stress concentrations. Then draw the stress element at A with the applied stresses and determine the three principal stress (0₁, 02 and, 03) using Mohr's circle. r= 0.0042 m, d = 0.03 m, D = 0.033 m, T= 250 Nm P = 1500 N, M = 300 Nm, A M T J.C₁ P r M T Di d