Q1/ For the element shown in figure 1 below, determine using Mohr's circle: 1. Shearing and normal stresses on the plane whose normal are at 60° with the x-axis 2. The principle stresses and their orientation (angles) 3. The maximum shearing stresses, their associated stresses and their orientations (angles). 20 MPa 10 MPa Figure 1. 20 MPa 10 MPa

Q1/ For the element shown in figure 1 below, determine using Mohr's circle: 1. Shearing and normal stresses on the plane whose normal are at 60° with the x-axis 2. The principle stresses and their orientation (angles) 3. The maximum shearing stresses, their associated stresses and their orientations (angles). 20 MPa 10 MPa Figure 1. 20 MPa 10 MPa

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

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

Q1/
For the element shown in figure 1 below, determine using Mohr's circle:
1. Shearing and normal stresses on the plane whose normal are at 60° with
the x-axis
2. The principle stresses and their orientation (angles)
3. The maximum shearing stresses, their associated stresses and their
orientations (angles).
20 MPa
10 MPa
Figure 1.
20 MPa
10 MPa

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Step 1: Given data.

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Step 2: 1. Finding shearing and normal stresses on the plane at 60 degree.

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Step 3: 2. Finding principal stresses and their orientation.

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Step 4: Finding the maximum shearing stress.

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