4-6 if possible Consider the following plane stress state:Ох- 40 MPа, дy -30 MPа, Тху3D 20 MPа сcwCalculate the following:1. The coordinates of the center of the Mohr's circle CThe location of the center of the Mohr's circle CisMРа,MPa).2. Principal normal stresses (01, 02)The principal normal stresses are o1 =MPa and 02 =|MPa.3. Maximum shear stress (7)The maximum shear stress isMPа.4. The angle from the x axis to o1 (@p)The angle from the x axis to o1 (@p) is|(Click to select) v5. The angle from the x axis to 1 (@s)The angle from the x axis to 7 (@) is(Click to select) v6. The radius of the Mohr's circleThe radius of the Mohr's circle isMPа.

Answered: Image /qna-images/answer/c1777691-2ce1-4dd2-9b40-2923488b88d7.jpg

Consider the following plane stress state: Oх- 40 MPа, дy- 30 МРа, Тҳу— 20 MРа ссw 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 MРа, MPa). 2. Principal normal stresses (01, 02) The principal normal stresses are o1 = MPa and 02 = MPа. 3. Maximum shear stress (7)

Consider the following plane stress state: Oх- 40 MPа, дy- 30 МРа, Тҳу— 20 MРа ссw 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 MРа, MPa). 2. Principal normal stresses (01, 02) The principal normal stresses are o1 = MPa and 02 = MPа. 3. Maximum shear stress (7)

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...

See similar textbooks

Similar questions

-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.
An element in plane stress on the fuselage of an airplane (figure part a) is subjected to compressive stresses with a magnitude of 42 MPa in the horizontal direction and tensile stresses with a magnitude of 9.5 MPa in the vertical direction (sec figure part b). Also, shear stresses with a magnitude of 15.5 MPa act in the directions shown. Determine the stresses acting on an element oriented at a clockwise angle of 40g from the horizontal. Show these stresses on a sketch of an element oriented at this angle.
.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.
An element in plane stress from the fuselage of an airplane is subjected to compressive stresses of magnitude 35 MPa in the horizontal direction and tensile stresses of magnitude 6.5 MPa in the vertical direct ion. Also, shear stresses of magnitude 12.5 MPa act in the directions shown (see the figure for Problem 7.2-8). Determine the maximum shear stresses and associated normal 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.
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
The polyethylene liner of a settling pond is subjected to stresses ax= 350 psi. a = 112 psi. and = -120 psi, as shown by the plalte-stress element in the figure part a. Determine the normal and shear stresses acting on a seam oriented at an angle 01300 to the element, as shown in the figure part b. Show these stresses on a sketch of an element having its sides parallel and perpendicular to the seam.
The hollow drill pipe for an oil well (sec figure) is 6,2 in. in outer diameter and 0.75 in. in thickness. Just above the bit, the compressive force in the pipe (due to the weight of the pipe) is 62 kips and the torque (due to drilling) is 185 kip-in. Determine the maximum tensile, compressive, and shear stresses in the drill pipe.
During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as follows: gage A, 520 × l0-6; gage B. 360 × l0-6; and gage C,-80 × 10-6. Determine the principal strains and maximum shear strains, and show them on sketches of properly oriented elements.
-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.
The stresses at a point on the down tube of a bicycle frame are trx= 4800 psi and t = -1950 psi (see figure). It is known that one of the principal stresses equals 6375 psi in tension, (a) Determine the stress (b) Determine the other principal stress and the orientation of the principal planes, then show the principal stresses on a sketch of a properly oriented clement.