help me asap Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal andvertical planes at the point are Sx = 0 MPa, Sy = 27 MPa, and Sxy = 20 MPa.(a) Draw Mohr's circle for this state of stress.(b) Determine the principal stresses and the maximum in-plane shear stress acting at the point.(c) Show these stresses on an appropriate sketch (e.g., see Fig. 12.15 or Fig. 12.16).(d) Determine the absolute maximum shear stress at the point.SySxy Answer:(a) Draw Mohr's Circle for this state of stress.(b) Op1 =MPaOp2 =iMPaImaxin-planeiMPa(c) Show these stresses on an appropriate sketch (e.g., see Fig. 12.15 or Fig. 12.16)(d) Tabs maxMPa

Answered: Image /qna-images/answer/c92039f7-bf6d-4467-942c-2122691d6b09.jpg

subjec ne stress. Normal and snear stress magnitudes rtical planes at the point are Sx = 0 MPa, Sy = 27 MPa, and Sy = 20 MPa. Draw Mohr's circle for this state of stress. Determine the principal stresses and the maximum in-plane shear stress acting at the point. Show these stresses on an appropriate sketch (e.g., see Fig. 12.15 or Fig. 12.16). Determine the absolute maximum shear stress at the point. Sxy

subjec ne stress. Normal and snear stress magnitudes rtical planes at the point are Sx = 0 MPa, Sy = 27 MPa, and Sy = 20 MPa. Draw Mohr's circle for this state of stress. Determine the principal stresses and the maximum in-plane shear stress acting at the point. Show these stresses on an appropriate sketch (e.g., see Fig. 12.15 or Fig. 12.16). Determine the absolute maximum shear stress at the point. Sxy

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

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.
-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
Direct stresses of 160N/mm tensile and 120 N/mm compressive exist on two perpendicular planes at a certain point in a body. They are also accompanied by shear stresses on the planes. The greatest principal stress at the point due to these is 200 N/mm?. a) What must be the magnitude of the shearing stresses on the two planes? b) What will be the maximum shearing stress at the point?
Can you help me with this problem, please: At a material point in plane stress it is known that the hydrostatic component of the stress is 15 ksi and that the second stress invariant is 30 ksi. Determine the magnitude of the principal stresses and the maximum shear stress.
Explain the method of representing the combination of normal and shear stresses acting on any plane through an incremental element on shear stress–normal stress coordinates.
A body is subjected to a direct tensile stress of 300 MPa in one plane accompained by a simple shear stress of 200 MPa. Determine maximum normal stress on the plane.
The state of stress at a point can be described by σx = 40 MPa , σy = 64 MPa , and τxy = 18 MPa . A second coordinate system is rotated by θ = 25 ∘ A) What is the normal stress in the direction of the x′-axis? B) What is the shear stress in the y′-direction for the faces with a normal in the x′-direction? C) What is the normal stress in the direction of the y′-axis?
Considering the original state of stress as shown in figure below and recalling the already developed equations for normal and shear stress at an angle Ɵ c.c.w from x-axis, mathematically prove that the planes of maximum in-plane shear stress are inclined at 45o to the principal planes.
The stresses shown act at a point on the free surface of a stressed body. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 80 MPa, Sy = 40 MPa, and Sxy = 75 MPa. Assume β=51∘. Determine the normal stresses σn and σt and the shear stress τn⁢t at this point if they act on the rotated stress element shown.
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)
Direct stresses of 160N/mm2 tensile and 120 N/mm2 compressive exist on two perpendicular planes at a certain point in a body. They are also accompanied by shear stresses on the planes. The greatest principal stress at the point due to these is 200 N/mm2. a) What must be the magnitude of the shearing stresses on the two planes? b) What will be the maximum shearing stress at the point?
At a point on the free surface of a machine part (E = 214 GPa, G = 83 GPa), the state of the stress is illustrated in the figure below. For the given plane stress condition determine: -all 3 principle stresses, the max in plane stress, average noemal stress and the absolut max shear stress. - Show the principle stress, the max inplane shear stress and the average normal stress on an appropriate schematic