1) The state of an element is shown in figure Fig. - 1. Use Mohr's circle to find the stresses and planes of stress on plane forming angle of ø with x and y axis as shown. 6ksi 16jksi] - 16ksi] 40 6ksi) 4ksi] Figure -1
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- The planar element in Figure 1 is subjected to stresses. Accordingly, find (a) principal stresses and directions, (b) greatest shear stress, related normal stresses and directions (Figure 1).In a thin plate, the state of stress prevails according to the figure. Calculate the principal stresses and their directions (using both equations and Mohr's stress circle). Show the result in a figure. σx = 40 MPa; σy = 50 ; MPa and τxy = 30 MPa The question should contain clear solutions and be presented according to the following structure: Given, to find, Solution and Answer.The state of stress at a point can be described by σx = 40 MPa , σy = 64 MPa , and τxy = 18 MPa . A second coordinate system is rotated by θ = 25 ∘ A) What is the normal stress in the direction of the x′-axis? B) What is the shear stress in the y′-direction for the faces with a normal in the x′-direction? C) What is the normal stress in the direction of the y′-axis?
- For each of the plane stress states listed below, draw a Mohr's circle diagram properly labeled, find the principal normal and shear stresses, and determine the angle from the r axis to of. Draw stress elements as in Figure 3-11c and d and label all details. a.) sigma,x = - 12 kpsi, sigma,y = 22 kpsi, txy = 12 kpsi cw b.) sigma,x = 30 kpsi, sigma,y = -10 kpsi, txy = 10 kpsi ccw c.) sigma,x = -10 kpsi, sigma,y = 18 kpsi, txy = 9 kpsi cw Attached is an image of Figure 3-11c and d for example. THIS IS THE ONLY INFORMATION I AM PROVIDED WITH! Thank you for the help in advance!How many independent stress components are needed to define the stress state of a point in 3-D?For the plane-stress condition given below: σx = 400 MPa σy = 500 MPa τxy = - 30 MPa Construct a Mohr’s circle of stress, find: (a) the principal stresses and the orientation of the principal axes relative to the x,y axes (b) determine the stresses on an element, rotated in the x-y plane 60° counter?clockwise from its original position ; Show these stresses on a sketch of an element oriented at this angle (c) Also, using the matrix transformation law to compare the solutions with Mohr’s circle
- Given the stress cube below, represent the Mohr Circle, demonstrating the stepsfollowing:a) Calculation of main stresses and directions;b) Calculation of stresses in a plane of rotation ?, clockwise;c) Circle of Mohr.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.A figure shows a state of stress; determine the shearing stresses and normal stresses after the element has been rotated (a) 40° clockwise, (b) 25° counterclockwise.
- STRENGTH OF MATERIALS. Please show the complete solutions. NO LONG EXPLANATION NEEDED! Rate will be given. Answer ASAP! Please answer all. MULTIPLE CHOICE: CHOOSE THE CORRECT ANSWER 1. Using MOHR CIRCLE from the given stresses on two perpendicular planes what is the normal stress on plane a-a? a. 75 MPa b. 150 MPa c. 125 MPa d. 100 MPa 2. Using MOHR CIRCLE, what is the resulting "HORIZONTAL" SHEARING STRESS at the given angle plane point? a. 44.03 MPa b. 64.32 MPa c. 185.68 MPa d. 75.00 MPa 3. Using MOHR CIRCLE, what is the resulting "VERTICAL" NORMAL STRESS at the given angle plane point? a. 44.03 MPa b. 75.00 MPa c. 64.32 MPa d. 185.68 MPa2. A figure shows a state of stress; determine the shearing stresses and normal stressesafter the element has been rotated (a) 40° clockwise, (b) 25° counterclockwise.Suppose that σx = 42 MPa A) Determine the normal stress σx′ that acts on the element with orientation θ = -17.8 ∘. B) Determine the normal stress σy′ that acts on the element with orientation θ = -17.8 ∘. C) Determine the shear stress τx′y′ that acts on the element with orientation θ = -17.8 ∘.