1. The coordinates of the center of the Mohr's circle C The location of the center of the Mohr's circle Cis ( -15 MPa, 2. Principal normal stresses (01, 02) The principal normal stresses are 0₁ = 39.08 3. Maximum shear stress (T) MPa and 02 = -69.08 O MPa). MPa.

2) The state of stesss at a point in a body relative to the xyz coordinate system is: 2 3 -5 [o]= 3 2 kpsi 6. %3D -5 2 -4 a) Determine the principle stresses and the direction cosines corresponding to each principle stress. b) Draw the 3D Mohr's circles. c) Determine the maximum shear stress. d) Find the orientation of the plane containing the maximum shear stress relative to the original axis system 3) For the stress tensor in problem 2: a) Determine the normal and shear stress on a surface intersecting a plane defined by 3 points (0,0,0); (2,-1,3); (-2,0,1) b) Give the magnitudes of these stresses and the direction cosines defining their directions.

Problem 2. A material element in plane stress is subjected to stresses: Ox = -5000 psi Oy Txy = -3000 psi - 2000 psi а) Using Mohr's Circle, determine the stresses on an element oriented at an angle 0 = 60° counterclockwise from the x axis. b) Show these stresses on a sketch of an element oriented at the angle 0.

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The plate has a thickness of 20 mm and the force P = 3 kN acts along the centerline of this thickness such that d = 150 mm.  A) Determine the normal stress at the bottom edge of the plate Enter negative value in the case of compression and positive value in the case of tension. B)Determine the normal stress at the top edge of the plate. Enter negative value in the case of compression and positive value in the case of tension. C)Specify the location of the neutral axis measured from the bottom edge of the plate.

Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are S, 2750 psi, S, = 1100 psi, and Sy 1950 psi. Assume ß - 53°. (a) Draw Mohr's circle for this state of stress. %3D (b) Determine the principal stresses and the maximum in-plane shear stress acting at the point. Show these stresses on an appropriate sketch (e.g., see Fig. 12.15 or Fig. 12.16). (c) Determine the normal and shear stresses on the indicated plane and show these stresses on a sketch. (d) Determine the absolute maximum shear stress at the point. Sxy Answer: (a) Draw Mohr's Circle for this state of stress. (b) op1- psi Op2 - psi Tmax in-plane psi (c) on psi Tnt psi (d) Tabs max psi eTextbook and Media

The reference state of stress shown in the element sketch below results in the Mohr’s circle plot indicated. For this element, as described below, determine:a)The principal stresses.b)The principal directions (angles to the principal planes).c)The maximum in-plane shear stress.d)Is the maximum in-plane shear stress the absolute maximum shear stress?

Consider a point in a structural memberthat is subjected to plane stress. Normal and shear stresses actingon horizontal and vertical planes at the point are shown inFigure below (a) Determine the principal stresses and the maximum in-planeshear stress acting at the point.(b) Show these stresses on an appropriate sketch (c) Compute the absolute maximum shear stress at the point.

Using mohr’s circle

The steel pipe has an inner diameter of 2.75 in. and an outer diameter of 3 in. The pipe is fixed at C and subject to the horizontal 20-Ib force acting on the handle of the pipe wrench at its end. Determine The stresses in the pipe acting at point B, which is located on the surface of the pipe. b) The principal stresses acting at this point.c)The absolute maximum shear stress.