* For the following data, uning Mohr's cínele of stress and trigonometny, find the principal stcesses ond shows theire senne în propenly oniented element and w find the maxímum (principal) nhean stnemen with the annociated normal strensen and show the reesults on a propenly oniented element · ) Ox = 0 = 0, Oy = 02 = -20ksi and for e = + 30°

In some detail discuss the following: 1) The stresses that would be of concern at the various points shown (A-D) from the external pressure and the applied loads P and F. Don't be afraid to use drawings here! F B y D В C

4. For an element subjected to stresses of x= 70 ksi y=-15 ksi xy=30 ksi SAH: (a) Draw Mohr's circle (b) Calculate the value of the principal stresses

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 Sy = 36 MPa, Sy = 70 MPa, and Syy = 25 MPa. (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (c) Show these stresses on an appropriate sketch (e.g., see Fig. 12.15 or Fig. 12.16). (d) Determine the absolute maximum shear stress at the point. Sxy

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I solved the principal stresses but having a hard time on determing the theta-P (orientation of principla plances), could you help me?

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 Sx = 26.9 ksi, Sy = 6.8 ksi, and Sxy= 19.0 ksi. (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b) On a piece of paper, show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). For the sketch, calculate 0p, the angle between the x axis and the principal stress orientation. Also, calculate avg, the normal stress on planes of maximum in- plane shear stress. (c) Compute the absolute maximum shear stress at the point. Answers: (a) Opl = Op2 = Tmax = (b) 0,= Oavg = (c) Tabs max Sxy = i i Mi i i ksi ksi ksi 0 ksi ksi

:Construct a Mohr circle using below information and label it appropriately. Using Mohr circle, find out maximum and minimum principal stresses and their orientation. Show them in a differential volume of element. 100 MPa 75 MPa 150 MPa

Using Mohr's Circle, solve Review problem R9-5 in the 10th Ed. of the text. Plot your solution along with notation of the axes and all the values below on graph paper. Show your calculation for the values below. 1. Find the Principal Stresses, and the orientation of the element at the those stresses 2. Find the maximum in plane shear stress, and the orientation of the element at that stress 3. Find the absolute maximum in plane shear stress 4. Find the normal stresses and shear stress when the element is rotated 30 degrees counterclockwise 30 ksi 10 ksi R9-5

3. Assume the plane stress state: ơ1 = 0, 02 = 20, T12 = 15 (all stresses in ksi). If oz alone is increased until the maximum shear stress t1, in the material reaches ±20 ksi, what is the value of o, at this point? HINT: this is relatively easy to figure out if you construct a Mohr's circle for the initial stress state and then consider what happens if o, is replaced with Ao2 and you solve for A when the maximum shear stress (from the circle geometry) reaches ±20 ksi.