X=75MPa Y=90MPa S=40MPa D=-10 Note: If the angle D is positive, then the shear stress is in the direction shown on the unit element figure; if it is a minus sign, then the shear stress is in theopposite direction shown on the unit element figure. 1. The stresses acting on element A in the web of a train rail are found to be 'X (MPa)'tension in the horizontal x-direction and Y (MPa)' compression in the verticaly-direction. Also, shear stresses of magnitude 'S (MPa)' act in the directions shown inthe figure.a) Draw Mohr's circle for the state of stress.b) Determine the stresses (Ox', Oy' and Txy') acting on an element oriented at an angle'D' from the horizontaloriented at this angle. Show these stresses on a sketch of an element|ATyxSideViewCrossSection

solution of part (b) Given Data: δx=75 MPaδy=90 MPaτxy=40 MPaθ=10ο calculate the stresses δx acting…

Answered: The stresses acting on element A in the…

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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X=75MPa Y=90MPa S=40MPa D=-10

Note: If the angle D is positive, then the shear stress is in the direction shown on the unit element figure; if it is a minus sign, then the shear stress is in the
opposite direction shown on the unit element figure.

1. The stresses acting on element A in the web of a train rail are found to be 'X (MPa)'
tension in the horizontal x-direction and Y (MPa)' compression in the vertical
y-direction. Also, shear stresses of magnitude 'S (MPa)' act in the directions shown in
the figure.
a) Draw Mohr's circle for the state of stress.
b) Determine the stresses (Ox', Oy' and Txy') acting on an element oriented at an angle
'D' from the horizontal
oriented at this angle
. Show these stresses on a sketch of an element
|A
Tyx
Side
View
Cross
Section

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