Sketch Mohr’s circle for each of the following cases of plane-strain.
Use Mohr’s circle to determine the principal stressesat the point. Also, find the corresponding orientation of theelement with respect to the element shown.
Question 1. For each of the plane-stress conditions given below, construct a Mohr’s circle of stress, find the principal stresses and the orientation of the principal axes relative to the x,y axes and determine the stresses on an element, rotated in the x-y plane 60° counterclockwise from its original position: (a) σx = 200 MPa σy = 300 MPa τxy = - 40 MPa (b) σx = 500 MPa σy = -80 MPa τxy = 400 MPa Question 2. For...
Mohr's Circle: For the state of stress shown below, sketch the plane stress Mohr Circle on a graphing paper (to scale and using drawing instruments). Staple it to this coversheet. 10 ksi 20 ksi In the space below sketch the element showing the principal planes and the principal stresses (remember to show the angle the element makes with either the X or the Y axis) In the space below sketch the element showing the maximum in-plane shearing stresses, associated normal...
Must draw Mohr’s circle in this question 3) For the stress state shown to the right, determine (a) the three principal stresses, and (b) the maximum shear stress. (Hint: consider this as a 3D problem, similar to in-class 3D example problem.) Ans: (a) Onui = 220 MPa, Ontermediate = 60 MPa, Onlin-0, (b)T,nax = 1 10 MPa 140 MPa 80 MPa 140 MPa 140 MPa 140 MPa
forced on a submerged plane area Forces on Submerged Plane Areas For each of the cases shown in Figs. 4.30-4.41, compute the magnitude of the resultant force on the indicated area and the location of the center of pressure. Show the resultant force on the area and clearly dimension its location. Problem 4.25 0.76 m 0.60 m- 1.00 m Gate Oil (sg = 0.80) 20°
2. Sketch the phase plane for the following variant of the predator/prey system: 2. Sketch the phase plane for the following variant of the predator/prey system:
8. Plots the points on the Mohr circle of strain corresponding to the strain acting in the two perpendicular directions shown in Fig. 5 100xI56 Fig.5
For a body undergoing plane strain conditions, which of the following is true? The out-of-plane normal stress is zero a. b. The in-plane strain is zero c. The in-plane stress is zero d. The out-of-plane stress is zero e. The out-of-plane shear stress is zero For a body undergoing plane strain conditions, which of the following is true? The out-of-plane normal stress is zero a. b. The in-plane strain is zero c. The in-plane stress is zero d. The out-of-plane...
Calculate Op3 and £p3 for plane stress and plane strain in the x-y plane.
1) An element in plane strain has a 60° strain rosette that is 150 from the x axis. Use Mohr's circle to determine. E = 29,000 ksi G= 11,200 ksi &=-.0015 E, = .004 E = -0025 a) The principal strains and maximum shear strain. b) Determine the location of the principal strains. c) Determine the stresses from the strains given d) Determine the stresses from the principal strains