Consider the following plane stress state:Ox= -4 MPa, oy= 12 MPa, Txy=7 MPa ccwCalculate the following:1. The coordinates of the center of the Mohr's circle CThe location of the center of the Mohr's circle CisMPа,MPa).2. Principal normal stresses (01, 02)The principal normal stresses are o1 =MPa and o2 =MPа.3. Maximum shear stress (T)The maximum shear stress isMPа.4. The angle from the x axis to o1 (Pp)The angle from the x axis to o1 (Pp) is(Click to select) v5. The angle from the x axis to 7 (s)The angle from the x axis to 7 (Ps) is(Click to select) v6. The radius of the Mohr's circleThe radius of the Mohr's circle isMPa.Prev1 of 2Next >

Consider the following plane stress state: Ox= -4 MPa, oy 12 MPa, Txy=7 MPa ccw Calculate the following: 1. The coordinates of the center of the Mohr's circle C The location of the center of the Mohr's circle Cis MPа, MPa). 2. Principal normal stresses (01, 02) The principal normal stresses are o1 = MPa and o2 = MPa. 3. Maximum shear stress (T) The maximum shear stress is MPа. 4. The angle from the x axis to o1 (Pp) The angle from the x axis to o1 (Pp) is (Click to select) v 5. The angle from the x axis to 7 (Ps) The angle from the x axis to 7 (s) is (Click to select) v 6. The radius of the Mohr's circle The radius of the Mohr's circle is MPa.

Consider the following plane stress state: Ox= -4 MPa, oy 12 MPa, Txy=7 MPa ccw Calculate the following: 1. The coordinates of the center of the Mohr's circle C The location of the center of the Mohr's circle Cis MPа, MPa). 2. Principal normal stresses (01, 02) The principal normal stresses are o1 = MPa and o2 = MPa. 3. Maximum shear stress (T) The maximum shear stress is MPа. 4. The angle from the x axis to o1 (Pp) The angle from the x axis to o1 (Pp) is (Click to select) v 5. The angle from the x axis to 7 (Ps) The angle from the x axis to 7 (s) is (Click to select) v 6. The radius of the Mohr's circle The radius of the Mohr's circle is MPa.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.4.18P: -18 through 7.4-25 An clement in plane stress is subjected to stresses ax,ay., and txy. (see...

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-18 through 7.3-22 An element in plane stress (see figure) is subjected to stresses o, a., and (a) Determine the principal stresses and show them on a sketch of a properly oriented element. (b) Determine the maximum shear stresses and associated normal stresses and show them on a sketch of a properly oriented element. 7.3-18 a=2I50kPa, ay=375kPa.Txy.=-460kPa
The stresses acting on an element are x= 750 psi, y= 600 psi, and xy = 400 psi. Determine the principal stresses and show them on a sketch of a properly oriented element.
-27 A square plate with side dimension of 2 in. is subjected to compressive stress a and tensile stress The stresses on element A oriented at angle ?? x1=45° aresy1= 75 psi. tx1y1= 275 psi. . Find the state of stress on the element lilt is rotated clockwise to align the x3 axis with the horizontal x axis.
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At a point on the web of a girder on an overhead bridge crane in a manufacturing facility, the stresses arc known to be x = —4300 psi, a = 1700 psi, and r = 3100 psi (the sign convention for these stresses is shown in Fig, 7-1). A stress clement located at the same point in the structure (but oriented at a counterclockwise angle 0, with respect to the _y axis) is subjected to the stresses shown in the figure {b, r», and 2100 psi). Assuming that the angle 8Xis between zero and 90°, calculate the normal stress trA, the shear stress ta, and the angle Bv
.4-2 An element in uniaxial stress is subjected to tensile stresses sx= 57 MPa. as shown in the figure. Using Mohr’s circle, determine the following. (a) The stresses acting on an clement oriented at an angle 0 = 33° from the x axis (minus means clockwise). (b) The maximum shear stresses and associated normal stresses. Show all results on sketches of properly oriented elements.
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-18 through 7.4-25 An clement in plane stress is subjected to stresses a,, ay., and axy. (see figure). Using Mohr’s circle, determine (a) the principal stresses and (b) the maximum shear stresses and associated normal stresses. Show all results on sketches of properly oriented elements.