Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 240 psi in size. (a) Determine the stresses Ox, Oy, and the magnitude of Txy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show thes stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). Answer: (a) Ox= i Oy= i i Txy = (b) Op1 = op2= i Tmax in-plane= y Mi C psi psi psi x psi psi psi σ

Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 240 psi in size. (a) Determine the stresses Ox, Oy, and the magnitude of Txy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show thes stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). Answer: (a) Ox= i Oy= i i Txy = (b) Op1 = op2= i Tmax in-plane= y Mi C psi psi psi x psi psi psi σ

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 7.2.11P: The polyethylene liner of a settling pond is subjected to stresses ax= 350 psi. a = 112 psi. and =...

See similar textbooks

Similar questions

Solve the preceding problem for an element in plane stress on the bottom surface of a fuel tanker (figure part a); stresses are sx= 105 MPa, sy. = 75 MPa, and ??xy= 25 MPa. Determine the stresses acting on an element oriented at an angle ?? = 40° from the x axis, where the angle is positive when counterclockwise. Show these stresses on a sketch of an element oriented at the angle ??.
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. - An element in plane stress is subjected to stresses ??x= 105 MPa, ??y= 75 MPa, and sxy= 25 MPa (see the figure for Problem 7.3-1). Determine the principal stresses and show them on a sketch of a properly oriented element.
An element on the top surface of the fuel tanker in Problem 7.2-1 is in biaxial stress and is subjected to stresses a = -48 MPa and ay = 19 MPa, as shown in the figure. Using Mohr’s circle, determine the following. (a) The stresses acting on an clement oriented at a counterclockwise angle ?? = 25° from the x axis. (b) The maximum shear stresses and associated normal stresses. Show all results on sketches of properly oriented elements.
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.
At a point on the surface of an elliptical exercise machine, the material is in biaxial stress with t = 1400 psi and trv = —900 psi, as shown in the figure part a. The figure part b shows an inclined plane aa cut through the same point in the material but oriented at an angle ft Determine the value of the angle 6 between zero and 90° such that no normal stress acts on plane aa. Sketch a stress clement having plane aa as one of its sides and show all stresses acting on the clement
-26 A rectangular plate of dimensions 125 mm × 75 mm is subjected to tensile stress sy= 67 kPa and compressive stress a. If it is known that the normal stress along the diagonal t—t is ??t= -6.57 kPa, find stress ??y on element A. a
The stresses acting on element A on the web of a train rail (sec figure part a) a re found to be 6500 psi tension in the horizontal direction and 18,500 psi compression in the vertical direction (see figure part b), Also, shear stresses with a magnitude of 3800 psi act in the directions shown. Determine the stresses acting on an clement oriented at a counterclockwise angle of 30° from the horizontal Show these stresses on a sketch of an element oriented at this angle
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 900 psi in size. (a) Determine the stresses Ox, Oy, and the magnitude of Tyyand show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). x C Answer: (a) ox= i psi Oy = i psi Txy = i psi (b) Op1* i psi Op2 = i psi Tmax in-plane psi
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 160 psi in size. (a) Determine the stresses Ox, Oy, and the magnitude of Txy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). Answer: (a) ox= i i Øy= Txy = = (b) Op1 Op2= i Mi Mi Tmax in-plane= y Mi C psi psi psi X psi psi psi
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 240 psi in size. (a) Determine the stresses ox, Oy, and the magnitude of Txy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). σ y Answer: ( a) σχ psi = Oy = psi
Mohr's circle is shown for a point in a physical object that is subjected to plane stress, Each grid square is 13 MPa in size. (a) Determine the stresses o, 0, and the magnitude of t, and show them on a stress element. (b) Determine the stresses a o, and the magnitude of Ta and show them on a stress element that is properly rotated with respect to the xy element. The sketch must include the magnitude of the angle between the x andnaxes and an indication of the rotation direction (ie, either clockwise or counterclockwise). Answer: (a) d. MPa dy. 110.0720 MPa Ty 1100720 MPa (b) C- s8.3065 MPa 16230865 MPa Tat- 110.3086 MPa