The stresses shown below act on horizontal and vertical planes through a point on the surface of a stressed body. Use Mohr's circle to determine (a) The principal stresses and the maximum shear stress at the point. (b) The normal and shear stresses on the inclined plane A-B shown in the figure. 6 ksi

The stresses shown below act on horizontal and vertical planes through a point on the surface of a stressed body. Use Mohr's circle to determine (a) The principal stresses and the maximum shear stress at the point. (b) The normal and shear stresses on the inclined plane A-B shown in the figure. 6 ksi

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 7.3.1P: The stresses acting on an element are x= 750 psi, y= 600 psi, and xy = 400 psi. Determine the...

See similar textbooks

Related questions

Q: The stress case at a point of a body is shown on the element below. Determine the principal normal…

A: The principal normal stresses, principal shear stresses, and the directions. Given: The stress in…

Q: 2- The state of stresses at a point are defined as follows. Find the normal and shear stress vector…

A: Given: The point of plane, P(2,1.5,2)

Q: The figure shows the stresses at a point. Determine the principal stresses and the maximum shear…

Q: The stresses shown below act on horizontal and vertical planes through a point on the surface of a…

Q: At a point in a stressed body, the principal stresses are oriented as shown in the figure. Use…

Q: H.W: A steel pipe with an outside diameter of 4.500 in. and an inside diameter of 4.026 in. supports…

Q: The state of plane stress at a point is represented on the element shown in the figure below. (a)…

Q: Q - The mechanism of bone as a solid rod shown in figure. The diameter is 4 cm and it is subjected…

A: Acting torque on the system = 200 ×0.15 =30 Nm Bending moment at end section = 200 ×0.25 = 50 Nm the…

Q: Ql: For the Figure shown below, determine (a) the principal stresses and show them on a sketch of a…

Q: Q1: A certain point in the mechanical part shown in Figure below. Use Mol determine: (a) the…

A: Givenσx=60 MN/m2=60MPaσy=-50MN/m2=-50MPaτxy=30MN/m2=30MPa

Q: A structural member is subjected to a plane stress loading condition. The state of stress at a point…

Q: A plane element is subjected to stress as shown in below figure. Determine the radius of the mohr…

Q: The state of plane stress at a point is represented on the element shown in the figure. The element…

Q: The state of plane stress at a point is shown on the element in Figure below. Represent this state…

A: Given: The orientation of element, θ = 45° The stress along x-axis, σx = -10 ksi The stress along…

Q: Complete the Circle of Mohr depicted in the figure.

A: According to the given details in the question.The Mohr Circle is Completed

Q: Direct stresses of 120 N/mm2 (tension) and 90 N/mm2 (compression) are applied at a particular point…

A: Given data: The direct stresses in mutually perpendicular direction are σx=120 Nmm2 and σy=-90…

Q: 800 N D 120 N.m d = 8 cm 600 N Q / If the cross section of the femur can be approximated as a…

A: 1. Stress due to eccentric load of 800N P2 and 800N will create a momentMoment due to this…

Q: 4. The state of stress at a point, for a body in plane stress, is shown in the figure below. If the…

Q: (7) For the state of plane stress shown in the figure, determine the normal and shear stresses…

A: Given data: The stress in the x-direction is σx=-50 MPa The stress in the y-direction is σy=0 MPa…

Q: When there is a plane stress condition as shown in the figure, display this stress in the form of…

Q: The state of plane stress at a point is represented on the element shown in the figure below. (a)…

A: Given details: σx=16 MPa, σy=0, ζxy=-10MPa Formula for principal stress: σ12=σx+σy2±σx-σy22+ζxy2…

Q: · Three forces are applied to the structure shown in Figure 3. Determine the maximum possible normal…

A: Given: Fy=-0.5 kNFx=-3 kNFz=-2.5 kN

Q: The stresses shown in the figure act at a point in a stressed body. Determine the normal and shear…

Q: Q-2 In an elastic material under load, two planes AB and BC are perpendicular to each other. The…

Q: The state of plane stress at a point on the surface of the airplane fuselage is represented by the…

A: To find- 1. The maximum principal stresses and the maximum in plane shear specifying the…

Q: The stresses shown below act on horizontal and vertical planes through a point on the surface of a…

A: The stresses shown below act on horizontal and vertical planes through a point on the surface of a…

Q: The stresses acting on element A in the web of a train rail are found to be 'X (MPa)' tension in the…

Q: 3. Listed below is a combination of stresses acting at a point and referred to axes x and y in an…

Q: 3. An axial pull of 35000 N is acting on a bar consisting of three lengths as shown below. If the…

Q: A certain point in the mechanical part has shearing and normal stresses measured in MN/m^2 as shown…

A: In Mohr's circle we take a suitable scale to construct the circle. Accordingly we draw the circle.

Concept explainers

Stress transformation

The term stress indicates the measure of internal forces that develop due to an external force's application on an object. When a specific external force is applied to an object, internal stress generates in the material. The value of stress can obtain by taking the ratio of the externally applied force and cross-sectional area of the object. There are different types of stress depending on the type of external force.

Question

The stresses shown below act on horizontal and vertical planes through a point on the
surface of a stressed body. Use Mohr's circle to determine
(a) The principal stresses and the maximum shear stress at the point.
(b) The normal and shear stresses on the inclined plane A-B shown in the figure.
A
6 ksi
45°
10 ksi
B

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given data

VIEW

Step 2: To draw Mohr's circle and find principals stresses and the maximum in plane shear stress

VIEW

Step 3: The normal and shear stresses on the inclined plane A-B shown in the figure.

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

An clement m plane stress from the frame of a racing car is oriented at a known angle 8 (sec figure). On this inclined clement, the normal and shear stresses have the magnitudes and directions shown in the figure. Determine the normal and shear stresses acting on an clement whose sides are parallel to the xy axes, that is, determine crv, tr(_, and t. Show the results on a sketch of an clement oriented at B = 10
1 A rectangular steel plate with thickness t = 5/8 in. is subjected to uniform normal stresses a and ., as shown in the figure. Strain gages A and B. oriented in the x and v directions. respectively, arc attached to the plate. The gage readings give normal strains = 0.00065 (elongation) and £. = 0.00040 (elongation). Knowing that E = 30 X 106 psi and v = 0.3, determine the stresses c7 and a, and the change .11 in the thickness of the plate.
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.
-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
Please show all works
The stresses shown below act on horizontal and vertical planes through a point on the surface of a stressed body. Determine and show on a sketch the principal stresses and the maximum shear stress at this point. 30 ksi 5 ksi -20 ksi
The stresses shown below act on horizontal and vertical planes through a point on the surface of a stressed body. Determine and show on a sketch the principal stresses and the maximum shear stress at this point. 50 MPa -30 MPa 35 MPa
The state of plane stress at a point is represented on the element shown in the figure below. (a) Determine the principal stresses acting on this point, and the corresponding orientation (angle). (b) Determine the maximum in-plane shear stress, and the corresponding orientation (angle). Also determine the associated average normal stress. Draw Mohr's circle and show the stresses on the circle. 15 ksi 23 ksi 14 ksi
The stress case at a point of a body is shown on the element below. Determine the principal normal stresses, the principal shear stresses and their directions. 30 MPa YA T 10 MPa
The figure shows the stresses at a point. Determine the principal stresses and the maximum shear stress. Show these values on the faces of properly oriented stress blocks.
There is a rectangular plate 2 mm thick on which the forces shown in the figure act. Determine Mohr's circle and derive the values and directions of the principal stresses (σmax , σmin , 2 theta subscript P) at point P on the plate. Results in MPa and degrees.
At a point of a material, the stresses forming a two-dimensional system are shown inFigure Q1. By using Mohr's circle of stress method: -(i) determine the magnitudes of the principal stresses.(ii) determine the directions of the principal stresses.(iii) Examine the value of the maximum shearing stress.