A point within an embankment slope has a vertical normal stress (O) of 100 kPa, a horizontal normal stress (Ox) of 60 kPa, and a horizontal shear stress (Txy) of 20 kPa. (a) Determine the major and minor principal stresses. (b) Determine the orientation of the major principal stress (in degrees from vertical, clockwise, or counterclockwise. (c) Draw the Mohr Circle and schematic of the element stress state.

A point within an embankment slope has a vertical normal stress (O) of 100 kPa, a horizontal normal stress (Ox) of 60 kPa, and a horizontal shear stress (Txy) of 20 kPa. (a) Determine the major and minor principal stresses. (b) Determine the orientation of the major principal stress (in degrees from vertical, clockwise, or counterclockwise. (c) Draw the Mohr Circle and schematic of the element stress state.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Can you please help me with 2.4. Thank you

A: Given, σ1 = 50 Mpaσ1 = -250 Mpaτ12 = 150 Mpaθ = 45 °

Q: 1.3-9 Find support reactions at A and B and then use the method of joints to find all member forces.…

A: The given figure is shown below:

Q: According to the general shear stress formua, shear stress distribution on a rectangular crosss…

A: This question is related to the Solid Mechanics from Civil Engineering. Given Data - Crosss…

Q: If P= 3.3 kN, determine the force in member CE of the truss. Input tension as a positive number and…

Q: A groove is machined into the circumference of a steel shaft held in cantilever and supportin bevel…

Q: Determine the maximum and minimum principal stress, also find normal stress, shear stress, and…

Q: A) Show the following on Mohr's stress circle: 1-The value of direct stress in the plane of the…

A: Plotted values and labelled value that is asked in question A is shown in next step Further plane…

Q: Two vertical forces are applied to a beam of the cross section shown. i) Determine the maximum…

A: Solution:-

Q: Problem 1 200 MPа Use Mohr's circle to find (1) The principal stresses (2) Sketch the stress element…

A: We have to determine principal stress maximum in-plane shear stress and if rotate to AB plane than…

Q: Draw Mohr's circles and determine the normal and shear stresses on plane A for the stress states…

Q: A rectangular rosette gives the following strain readings: o = 8 x 10-4, E45 = 11 x 10-4, and E90 =…

A: Strain readings-ε0=8×10-4ε45=11×10-4ε90=-15×10-4 To find-

Q: The soil element with known stress conditions is shown in following figure. (i) construct Mohr's…

Q: Find the stress resultants N, V and M, draw the diagrams of the stress resultants (N,V,M)

A: Stress ResultantsN= -7 kN (Compression)V= 18 kNMmax= 54 kN-m As seen on the diagram at explanation…

Q: 90 MPa For the shown 2D stress element, sketch Mohr circle then, use Mohr circle to find the normal…

A: As per the given data we have to determine the value of normal stresses and shear stresses at a…

Q: The stress on an element of soil are shown in the following figure. Find the magnitude and direction…

A: The main indicators do not have the sheer pressure associated with them. Primary Pressure, The…

Q: Two line loads are applied on the given profile with the stress increase determined to be 42 kPa at…

Q: (a) Draw the Mohr circle that describes the 2D stress state and find the maximum shear stress that…

Question

A point within an embankment slope has a vertical normal stress (v) of 100 kPa, a horizontal normal stress (x) of
60 kPa, and a horizontal shear stress (xy) of 20 kPa.
(a) Determine the major and minor principal stresses.
(b) Determine the orientation of the major principal stress (in degrees from vertical, clockwise, or
counterclockwise.
(c) Draw the Mohr Circle and schematic of the element stress state

A point within an embankment slope has a vertical normal stress (O) of 100 kPa, a horizontal normal stress (Ox) of
60 kPa, and a horizontal shear stress (Txy) of 20 kPa.
(a) Determine the major and minor principal stresses.
(b) Determine the orientation of the major principal stress (in degrees from vertical, clockwise, or
counterclockwise.
(c) Draw the Mohr Circle and schematic of the element stress state.

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Problem 6. [Concepts: Spatially varying average normal stress, and integration] The bar has a cross-sectional area of 400(106) m². If it is subjected to a triangular axial distributed loading along its length which is 0 at x = 0 and 9 kN/m at x = 1.5 m, and to two concentrated loads as shown in the figure. a) Determine the average normal stress in the bar as a function of x for 0
02
2. The following square section is subjected to an unsymmetric bending moment M=850 Nm, as shown. Compute the stresses at each of the 4 outer corners of the section, and sketch a 3D distribution of the stresses 2 B M=850 Nm mm 260 E 25 A D 250 mm REQ'D - stress at each corner - 3D stress distribution
- once answered correctly will UPVOTE!!
Pls fast hand written solution
Stress in shaft due to Bending Load and Torsion. A shaft has a diameter of 4 cm. The cutting section shows in the figure is subjected to a bending moment of 2 kN-m and a torque of 2.5 kN-m. Determine: 1. The critical point of the section 2. The stress state of the critical point 3. The principal stresses and its orientation Using Morh’r and Draw Stress element transformation
2.18. The stress at a point is defined by the components Oxr = 85 MPa, Oyy= 320 MPa, oz= 100 MPa, Ory =-40 MPa, ơ =50 MPa, ơzx=-20 MPa. Find the three principal stresses, sketch the three Mohr's circles and hence determine the magnitude of the maximum shear stress. yz
1. The bar has a cross-sectional area of 400*106 m². If it is subjected to a uniform axial distributed loading along its length and to two concentrated loads, determine the average normal stress in the bar as a function of x, for 0.5 m < x≤ 1.25 m. -X 0.5 m w = 8 kN/m -6 kN 0.75 m 3 kN
Limiting states 1. The MC describes the state of stress of our point in the field. That is, the MC shows us the values of the two principal stresses and the value of the maximum shear stress that the point is sustaining in the field. Consider a point in a geostatic soil mass. For our point, o'vo = 100 kPa and o'ho = 40 kPa. Take a sheet of paper and draw the Mohr Circle for this point carefully. 2. Now, we know that o'ho is a principal stress because t = 0 on the vertical plane (in the field). Similarly, o'vo is a principal stress because t = 0 on the horizontal plane (in the field). What is the value of t on the plane inclined 45 degrees clockwise from the horizontal? Go ahead and use your drawn MC to find this value. The value should be t = 30 kPa. 3. Note that the value found (t = 30 kPa) is the maximum shear stress that the point is supporting in the field, as it is under o'v = 100 kPa and o'h = 40 kPa. Consider now a situation in which o'h remains at 40 kPa, but o'y grows to 120…
Assuming P = 82 MPa, draw Mohr's circle and use it to determine the normal and shearingstresses after the element shown has been rotated through 25° clockwise.Answer: shear stress = -0.73 MPa.
Two identical loads distributed over circular areas are applied on an elastic two-layer system, as shown in the figure below. D E = 150,000 psi v = 0.5 h E = 30,000 psi v = 0.5 D/2 the dimensions and the magnitude of the surface stresses are: r= 6.5 in D= 16.25 in g = 75 psi h = 6.5 in Determine: 1. The total vertical deflection at point A 2. The total vertical deflection at point B 3. The total vertical deflection at point C