**Transcription for Educational Website**### Problem DescriptionA soil element is subjected to a combination of normal and shear stresses, as shown in the following figure. The corresponding Mohr’s circle of stress is provided, with some points (labeled with coordinates) and lines for reference. Complete the following questions:1. Which point represents the normal and shear stresses on the horizontal plane \(PQ\)?2. Which point represents the normal and shear stresses on the vertical plane \(QN\)?3. Which point represents the pole of this Mohr circle?4. Which point represents the normal and shear stresses on plane \(MN\)?5. Which point represents the major principal stress?6. Which point represents the minor principal stress?**Note:** All dashed lines are parallel to each other with the given inclination angle.### Graph DescriptionThe Mohr's circle diagram illustrates the relationship between normal stress (kPa) on the x-axis and shear stress (kPa) on the y-axis:- The circle is plotted on a grid with each axis measuring stress in kPa.- The circle includes points labeled as follows: - \( a(112, 40) \) - \( b(72, 40) \) - \( c(52, 20) \) - \( d(47, 0) \) - \( e(52, -20) \) - \( f(72, -40) \) - \( g(112, -40) \) - \( h(132, -20) \) - \( i(132, 20) \) - \( j(137, 0) \)The diagram on the right illustrates a geometric configuration of stress points.- There are labeled points \( P, Q, M, N \) with associated normal and shear stresses: - \( PQ\) has a normal stress of 112 kPa and a shear stress of 40 kPa. - The angle between \( M \) and \( N \) is indicated as \( 45^\circ \).This image helps in understanding how various stress components relate to each other on different planes in a soil element, visualized through the Mohr's circle framework.

1.As the normal force at plane PQ is 112 compressive and shear force is 40 in clockwise direction so the coordinate for this is (112,40) which is represented by point (a). 2.As the normal force at plane QN is 72 compressive and shear force is 40 in anti - clockwise direction so the coordinate for this is (72,-40) which is represented by point (f). 3.The poles of the mohar circle here is Point (g) which is find out by drawing perpendiculars from point a and point f in vertical and horizontal direction respectively. 4. As the plane MN is at an angle of 45 degree so point (C) represents the stress on it. So plane stress on this plane is 52KPA compressive and shear stress is 20 KPA in clockwise direction. 5. Major principle stress is maximum stress where shear stress is zero. So here point (i) represent major stress of 137 KPA. 5. Minor principle stress is minimum stress where shear stress is zero. So here point (d) represent major stress of 47 KPA.

Engineering

Civil Engineering

A soil element is subjected to a combination of normal and shear stresses, as shown in the following figure. The corresponding Mohr’s circle of stress is provided, and some points (with coordinates) and lines are added to assist you. Complete the following 1) Which point represents the normal and shear stresses on the horizontal plane PQ? Which point represents the normal and shear stresses on the vertical plane QN? 2) 3) Which point represents the pole of this Mohr circle? 4) Which point represents the normal and shear stresses on plane MN? 5) Which point represents the major principal stress? Which point represents the minor principal stress? 6) Note: all dashed lines

A soil element is subjected to a combination of normal and shear stresses, as shown in the following figure. The corresponding Mohr’s circle of stress is provided, and some points (with coordinates) and lines are added to assist you. Complete the following 1) Which point represents the normal and shear stresses on the horizontal plane PQ? Which point represents the normal and shear stresses on the vertical plane QN? 2) 3) Which point represents the pole of this Mohr circle? 4) Which point represents the normal and shear stresses on plane MN? 5) Which point represents the major principal stress? Which point represents the minor principal stress? 6) Note: all dashed lines

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Show Attempt History Current Attempt in Progress Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 10 ksi in size. (a) Determine the stresses Ox, Oy, and the magnitude of Txy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). y Answer: C X σ
The stresses shown act at a point in a stressed body. The stress magnitudes are Sx = 60 MPa and Sy = 230 MPa, acting in the directions indicated in the figure. Using the equilibrium equation approach, determine the normal and shear stresses at this point on the inclined plane shown. Assume B = 49°. Sy 一 Answer: Sn = MPa Snt = MPa
A cube of material (E = 15,000 psi, v = 0.25) of side length 2" is shown in the x, y plane. Takex positive to the right and y positive up. Determine the change in length of the cube in the three coordinate directions if 4 %3D a) The normal stress in the z direction is zero (Ans: 0.0317" in x direction) b) The normal stress in the z direction is 300 psi compression (Ans: 0.0416" in x direction) 150 psi 100 psi + 200 psi
Q5/ A thin plate is subjected to plane stress conditions. The stresses acting on the plate are as follows: • Normal stress in the x-direction, ox = 50 MPa • Normal stress in the y-direction, oy = 20 MPa • Shear stress, txy = 30 MPa Determine the principal stresses and the maximum shear stress using Mohr's Circle.
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
The stresses shown act at a point in a stressed body. The stress magnitudes are S, = 80 MPa and S, = 225 MPa, acting in the directions indicated in the figure. Using the equilibrium equation approach, determine the normal and shear stresses at this point on the inclined plane shown. Assume ß = 55°. S. Answer: Sn = MPa Snt= MPa
1. Define Obliquity. 2. Give the expression for maximum shear stress in a two dimensional stress system. 3. What is the radius of Mohr's Circle? 4. Give the expressions for the stresses on an inclined plane when it is subjected to an axial pull. 5. Write the expressions for a normal stress on an inclined plane in a block which is subjected to two mutually perpendicular normal stresses and shear stresses.
The stresses shown act at a point in a stressed body. The stress magnitudes are Sx = 85 MPa and S, =- 200 MPa, acting in the directions indicated in the figure. Using the equilibrium equation approach, determine the normal and shear stresses at this point on the inclined plane shown. Assume B= 48°
please solve and exlain in neat hand writing
Another way of testing flexure strength is by quarter point loading as shown. The sample section is 150mm x 150mm. If both P = 50,000N, what is the stress at failure at point O? %3D P 200mm 200mm 200mm Point O 600mm R1 |R2
SOLVE USING STRESS STRAIN CALCULATION AND PROVIDE A TYPED SOLUTION.DO NOT COPY FROM PREVIOUS ANSWERS.STRESS STARAIN calculations are mandatory .
Rock mechanics class appreciate your help and explanation