**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

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Concept explainers

Solid Mechanics

Engineering mechanics is a branch of science that deals with forces causing bulk motion in bodies and the effect that these forces cause on the bodies. Engineering mechanics does not deal with the internal changes that occur on account of these external forces. The internal effects in a body or a material under the action of external forces are studied in a new branch of science called solid mechanics, the strength of materials, or the mechanical behavior of engineering materials.

Question

**Transcription for Educational Website**

### Problem Description

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, 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 Description

The 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.

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