Consider a point in a structural member that is subjected to
plane stress. Normal and shear stresses acting on horizontal and
vertical planes at the point are shown. (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 figures below). (d)
Determine the absolute maximum shear stress at the point.
Consider A Point In A Structural Member That Is Subjected To Plane Stress Normal And Shear Stresses Acting On Horizonta 1 (200.46 KiB) Viewed 35 times
View Policies Current Attempt in Progress (a) On a piece of paper, draw Mohr's circle for this state of stress. Enter below the location of the center of Mohr's circle on the horizontal, or o, axis. Also, enter the radius Rof Mohr's circle. C = MPa Give the following problem a try. If you get stuck, here is one way to work it: Essential Solution Video Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical planes at the point are shown. (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 figures below). (d) Determine the absolute maximum shear stress at the point. R= MPa (b) Based on Mohr's circle, enter below the principal stresses and the maximum in-plane shear stress acting at the point. Opl = MPa AP2 Op2 = MPа P Tmax = MPa (c) On a piece of paper, show these stresses on an appropriate sketch (e.g., see figures above). For the sketch, enter, the angle between the xaxis and the principal stress orientation. Enter a positive value for, for a counterclockwise rotation from the xaxis to the direction of op, or a negative value for a clockwise rotation. Also, enter Oy,the normal stress on planes of maximum in-plane shear stress. Note in the figure that the horizontal direction has been taken as the x - direction, and the vertical direction has been taken as the as y - direction Assume on = 101 MPa, 0, = 135 MPa, and try = 69 MPa. 0 = y Oavg = MPa L x (d) Enter the absolute maximum shear stress at the point. Tabsman = i MPa
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