For the given state of stress, determine the normal and shearing stresses exerted on the oblique face of the shaded triangular elementshown. Use a method of analysis based on the equilibrium of that element. Take X= 45 MPa.X40 MPa50°The normal stress exerted on the oblique face of the shaded triangular element is -MPa.The shear stress exerted on the oblique face of the shaded triangular element isMPa.

Answered: Image /qna-images/answer/d1869ae3-47b5-4382-8e97-793f9f89c959.jpg

For the given state of stress, determine the normal and shearing stresses exerted on the oblique face of the shaded triangular element shown. Use a method of analysis based on the equilibrium of that element. Take X= 45 MPa. 40 MPa 50° The normal stress exerted on the oblique face of the shaded triangular element is - MPa. The shear stress exerted on the oblique face of the shaded triangular element is MPa.

For the given state of stress, determine the normal and shearing stresses exerted on the oblique face of the shaded triangular element shown. Use a method of analysis based on the equilibrium of that element. Take X= 45 MPa. 40 MPa 50° The normal stress exerted on the oblique face of the shaded triangular element is - MPa. The shear stress exerted on the oblique face of the shaded triangular element 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 7.2.27P: -27 A square plate with side dimension of 2 in. is subjected to compressive stress a and tensile...

See similar textbooks

Similar questions

The yield stress for a zirconium-magnesium alloy is sY = 15.3 ksi. If a machine part is made of this material and a critical point in the material is subjected to in-plane principal stresses s1 and s2 = -0.5s1, determine the magnitude of s1 that will cause yielding according to the maximum shear stress theory.
Indicate the points on the stress-strain diagram which represent the proportional limit and the ultimate stress.
Before loading the plate, mark a line with the inclination shown. After the load is applied, the slope of the line decreases by 5x10^-3 rad. Determine the normal stress ?. Consider E = 2.1x106 kgf/cm^2 and v = 0.30. Express your answer in units of kgf/cm^2.
The plate is made of Tobin bronze, which yields at sY = 25 ksi. Using the maximum shear stress theory, determine the maximum tensile stress sx that can be applied to the plate if a tensile stress sy = 1.5sx is also applied.
In a plane stress condition, the components of stress at a point are sigma_{x}= 20MPa , sigma_{y} = 80MPa , Ty = 40 MPa . What is the maximum shear stress (in MPa) at the point?
A copper bar with a rectangular cross sectionis held without stress between rigid supports (seefigure). Subsequently, the temperature of the bar israised 50°C.(a) Determine the stresses on all faces of theelements A and B, and show these stresseson sketches of the elements. (Assumeα = 17.5 x 10 6 / °C 2 and E = 120 GPa.)(b) If the shear stress at B is known to be 48 MPaat some inclination θ, find angle θ and showthe stresses on a sketch of a properly orientedelement.
The principal strains at a point on the aluminum fuselage of a jet aircraft are P1 = 780(10-6) and P2 = 400(10-6). Determine the associated principal stresses at the point in the same plane. Eal = 10(103) ksi, nal = 0.33.
The state of stress at a point in a member is shown on the element. Take σx = 90 MPa , σy= 65 MPa , τxy = 40 MPa . A) Determine the normal stress component acting on the inclined plane AB. Solve the problem using the method of equilibrium. B)Determine the shear stress component acting on the inclined plane AB. Solve the problem using the method of equilibrium.
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 12 ksi, Sy = 17 ksi, and Sxy = 18 ksi.(a) Draw Mohr’s circle for this state of stress.(b) Determine the principal stresses (σp1>σp2σp1>σp2) and the maximum in-plane shear stress τmaxτmax acting at the point.(c) Find the smallest rotation angle θpθp (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16)
At a point in a strained material the principal stresses are 200 N/mm2 (tensile) and 120 N/mm2 (compressive). Determine the normal stress, shear stress and resultant stress on a plane inclined at 30° to the axis of major principal stress. Also determine the maximum shear stress at the point.
The element of material below is subjected to the state of stress shown, where a = 120.0 MPa, b = 64.00 MPa, and c = 30.00 MPa (Figure below) a. Determine the orientation of the planes of maximum and minimum normal stress, θp1 and θp2, respectively. Use the value for θp2 that is negative. Then use this value to determine the value of θp1. b. Determine the in-plane principal stresses for the element (as oriented in Part A), and calculate σ1 and σ2 such that they correspond with θp1 and θp2. c. Determine the orientation, θs2, of the element subjected to maximum shear stress on its left and right sides. Use the value for θs2 that is positive. d. Determine the maximum in-plane shear stress and the average normal stress acting on an element oriented as determined in Part c.
A stress element in a rock mass making up a slope experiences a 2D stress as follows: σx = 8 MPa, σy = 4 MPa , tauxy = 3 MPa a. Draw the Mohr circle. On Mohr's circle, mark the location of the x and y planes, mark the angle of rotation θ from the x plane to the σ₁,σ3,and taumax plane. Prove that the angle of rotation of the Mohr circle is 2 times the angle of rotation of the element. b. Write down the coordinates of the center of Mohr's circle and calculate its radius.