Using Mohr's Circle Determine: a.) The principal planes and directions b.) The principal Stresses and directions c.) The maximum Shear stress and the corresponding normal stress and directions 10 MPa 40 MPa 0 50 MPa

Using Mohr's Circle Determine: a.) The principal planes and directions b.) The principal Stresses and directions c.) The maximum Shear stress and the corresponding normal stress and directions 10 MPa 40 MPa 0 50 MPa

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: The state of stress at a point in a member is shown on the rectangular stress element in (Eigure 6)…

A: So angle is clockwise and θ=-30°σx=31ksiσy=-38ksiτxy=0

Q: Consider a point in a structural member that is subjected to plane stress. Normal ar vertical planes…

Q: answers are in the botom

A: If you have any doubts please comment

Q: point, another plane B, inclined at 45°, on the normal aly Mohr's stress circle technique to find…

Q: Q.2) A state of stress is specified as shown in Figure (2), By using Mo determine the normal and…

A: Radius of the circleR=(σx-σy2)2+τxy2R=(40+802)2+502R=78.1…

Q: Consider a point in a structural member that is subjected to plane stress. Normal and shear stress…

Q: Problem 5: The stresses on the x-y-axes are o, = 8 ksi, o, = 12 ksi, and T₁ = -5 ksi. Draw the…

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

A: answer and diagrams are provided on the picture uploaded.Explanation:

Q: Problem #2. The state of stress at a point with ox, oy and txy as shown. Analyze the state of stress…

Q: The stresses shown act at a point in a stressed body. Normal and shear stress magnitudes acting on…

Q: The triangular plate is fixed at its base, and its apex A is given a horizontal displacement of 5…

A: The triangular plate with dimensions as shown in the figure below,Horizontal displacement,

Q: 3. Determine the maximum shearing stresses and the associated normal stresses for the state of…

Q: The grain of the wooden member forms an angle 15° with the vertical. For the state shown in Figure…

A: Mohr's circle Mohr's circle is a graphical depiction of a point's overall condition of stress. It is…

Q: 90 MPa 1. If a point is subjected to the state of stress shown in the figure, determine the…

Q: Assume β = 50°. (a) Draw Mohr’s circle for this state of stress. (b) Determine the principal…

Q: ee surface of a machine component. Normal and shear stress magnitudes acting on horizontal and…

A: Radius of the circleR=(sx-sy2)2+sxy2R=(23.6-2.82)2+72R=12.54 ksisAVG=sx+sy2=23.6+2.82sAVG=13.2ksi

Q: 6) Across Plane #1, the state of stress is measured as: On 1.1 kb and os= 0.4 kb Across Plane #2…

Q: Consider a stress element inclined at 35 degree's counter-clock wise from the positive x axis. The…

Q: At a point on the free surface of a stressed body, a normal stress magnitude of S, = 54 MPa (C) and…

Q: he stresses shown act at a point on the free surface of a machine component. Normal and shear stress…

A: In design of structural member the body should remain in equilibrium not only with respect to…

Q: The stresses shown act at a point in a stressed body. Normal and shear stress magnitudes acting on…

Q: Current Attempt in Progress The strain components for a point in a body subjected to plane strain…

Q: e pins are 1 cm in diameter and are made of 304 stainless steel. A distributed load of 200 N/m is…

A: Given:- two rigid bars with a 5cm x 5cm section A-36 steel. the pins are 1 cm in diameter a 304…

Q: 3. (a) A prismatic bar is subjected to an axial compressive stress of 85N/mm. Determine the i.…

Q: ● The maximum shearing stress. ● The principal stresses and planes.

A: This question has been taken from solid mechanics

Q: Q4) (2UMS): A state of stress is specified as shown in Figure (4), By using Mohr's circle determine…

Q: For the stressed elements allocated to you, find the values and sketch the orientations: a) Maximum…

A: Given data, Compressive stress along the y-axis, σy = -80 MPa Tensile stress along x-axis, σx= 40…

Q: For the given state of stress of element A, strictly using Mohr's Circle perform the following:…

Q: Solve this early all subparts B) determine the principal plane (for σmax) in radians. C) Determine…

Q: Question-2: The cross section of the bar in the figure a) Calculate the stress(tension) values at…

A: Find: (a) Stress at points A, B, C (b) Stress distribution in the section

Q: For the state of stress shown in the figure below: (CLO 3 a. Draw Mohr's Circle. b. Show x/y planes,…

A: Question is based on the state stress . Stress in x,y direction and shear stress is given in the…

Q: Problem 5: The stresses on the x-y-axes are o, = 8 ksi, o, = 12 ksi, and T = -5 ksi. Draw the Mohr's…

Concept explainers

Methods to Determine Vertical Stress

The load applied to the soil is transferred to the underground. The presence of water at soil pores and solid grains above the soil are the primary components that are responsible for the effective load transfer. Due to the load acting, the internal component of the soil or the underground formations undergoes deformations or a tectonic shift. The amount of deformation depends upon the amount of load acting on the soil surface, which indeed, depends on the weight of everything present above the soil. Due to this, the underground soil element develops internal stresses which try to resist the tectonic changes.

Question

Using Mohr's Circle Determine:
a.) The principal planes and directions
b.) The principal Stresses and directions
c.) The maximum Shear stress and the corresponding normal stress and directions
10 MPa
40 MPa
0
50 MPa

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

VIEW

Step 2

VIEW

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

Knowledge Booster

Learn more about

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

Similar questions

c2
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 = 27 ksi, S, = 16 ksi, and Sxy = 14 ksi. (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses (opl > op2) and the maximum in-plane shear stress Tmax acting at the point. (c) Find the smallest rotation angle 0, (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) S Answers: Opl = i ksi. Op2 = i ksi. Tmax = ksi. i
Sketch Mohr circle for the shown element. Use Mohr Circle to determine the normal stresses On and Ot and the shear stress Tat at this point if they act on the rotated stress element shown. Verify your results (On, Ot, Tat) using stress transformation eqns. 1,100 psi Tnt 1,750 psi On 20° 2,900 psi Illustrate the following on Mohr circle: center of Mohr Circle, reference point A, principle stresses, max in-plane shear stress, orientation of principal stresses Op1 and Op2, orientation of max in-plane shear stress,Os )
Problem 5: The stresses on the x-y-axes are o, = 8 ksi, o, = 12 ksi, and Ty = -5 ksi. Draw the Mohr's circle for this stress state. Identify the maximum shear stress from the Mohr's circle, and draw the maximum shear stress element, specifying its orientation.
Using Mohr's Circle Determine: a.) The principal planes and directions b.) The principal Stresses and directions c.) The maximum Shear stress and the corresponding normal stress and directions 10 MPa 40 MPa O 50 MPa
At a point in a stressed material, the major principal stress is 66 kPa compression and the minor principal stress is 34 kPa tension. (a) Use the Mohr’s circle to determine the shear and normal stress on a plane 45° ccw from the major principal plane. (b) Determine the stress combination acting on the plane 75° ccw from the major principal plane.
Q4) : A state of stress is specified as shown in Figure (4), By using Mohr's circle determine the normal and shearing stresses and their directions on: a- The principal planes? b- The planes of maximum shearing stress? c- The planes whose normals are at (+50°) and (+140°) with x-axis? show your results on complete sketches of differential elements. 40 MPa 4 50 MPa 80 MPa YA 80 MPa 50 MPa -40 MPa Figure (4)
- once answered correctly will UPVOTE!!
Plane AB is under pressure and Plane AB has an angle = 30 degrees to sigma = 50 nPa.a. Determine the equations used to calculate the normal and shear stress in the plane ABb. Draw a normal vector sketch on the plane AB and the angle formed between the normal vector andc. Calculate normal stress and shear stress in plane AB (Round up to 4 digits after comma)d. Plot the point normal stress and shear stress plane AB on the Mohr Diagram sketch.
Problem 5: The stresses on the x-y-axes are o, = 8 ksi, o, = 12 ksi, and Ty = -5 ksi. Draw the Mohr's circle for this stress state. Identify the maximum shear stress from the Mohr's circle, and draw the maximum shear stress element, specifying its orientation.
The vertical stress at point P1 due to the point load Q on the ground surface as shown in figure is sigma_{z} According to Boussinesq's equation, the vertical stress at point P2 shown in figure will be
Calculate the value of Q and t that are used in the shear formula for finding the shear stress at A. 0.3 m 0.3 m 0.2 m 0.2 m 0.4 m 0.km 0.2 m