The stresses shown in the figure act at a point in a stressed body. Note that the given stress values are absolute valuesand stress sign should be determined based on the figure.(a = 75°, 0,= 90 MPa, ay= 75 MPa, T= 54 MPa]Oyox.Determine the absolute value of the shear stress (Tnt) at this point on the inclined plane.Answer:MPaDetermine the normal stress on the inclined plane (o).159.2 MPa105.9 MPa207.6 MPa126.8 MPa-90.9 MPa

Answered: Image /qna-images/answer/e3dab36f-bdf1-40d0-ba5b-769a707b8a0e.jpg

The stresses shown in the figure act at a point in a stressed body. Note that the given stress values are absolute values and stress sign should be determined based on the figure.(a = 75°, 0,= 90 MPa, dy= 75 MPa, t= 54 MPa] Gy Determine the absolute value of the shear stress (Tnt) at this point on the inclined plane. Answer: MPa Determine the normal stress on the inclined plane (o). 159 2 MP₂

The stresses shown in the figure act at a point in a stressed body. Note that the given stress values are absolute values and stress sign should be determined based on the figure.(a = 75°, 0,= 90 MPa, dy= 75 MPa, t= 54 MPa] Gy Determine the absolute value of the shear stress (Tnt) at this point on the inclined plane. Answer: MPa Determine the normal stress on the inclined plane (o). 159 2 MP₂

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 7.2.8P: An element in plane stress on the fuselage of an airplane (figure part a) is subjected to...

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
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.
Plastic bar of diameter d = 32 mm is compressed in a testing device by a Force P = 190 N that is applied as shown in the figure. (a) Determine the normal and shear stresses acting: on all faces of stress elements oriented at (1 ) an angle 8 = 00, (2) an angle ?? = 22.5s, and (3) an angle ?? = 45°. In each case, show the stresses on a sketch of a properly oriented element. What are smaxtmax (b) Find smax and tmax in the plastic bar if a re-cantering spring of stiffness k is inserted into the testing device, as shown in the figure. The spring stillness is 1/6 of the axial stiffness of the plastic bar.
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.
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 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.
An element in plane stress on the surface of an automobile drive shaft (see figure) is subjected to stresses of crv = —45 MPa and rTb = 39 MPa (see figure). It is known that one of the principal stresses equals 41 MPa 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 element.
An element on the gusset plate in Problem 7.2-23 in uniuxial stress is subjected to compressive stresses of magnitude 6750 psi. as shown in the figure. Using Mohr’s circle, determine the following. (a) The stresses acting on an element oriented at a slope of 1 on 2 (see figure). (b) The maximum shear stresses and associated normal stresses. Show all results on sketches of properly oriented elements. s
-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.
.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.
: A hollow, pressurized sphere having a radius r = 4.8 in, and wall thickness t = 0.4 in. is lowered into a lake (see figure). The compressed air in the tank is at a pressure of 24 psi (gage pressure when the tank: is out of the water). At what depth D0will the wall of the tank be subjected to a compressive stress of 90 psi?
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 ??.