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 (σx', σy' and τxy') acting on an element oriented at an angle ‘D’ from the horizontal. Show these stresses on a sketch of an element oriented at this angle (X (MPa)=75) ( Y (MPa)=90) ( S (MPa)=40) ( 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.
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 (σx', σy' and τxy') acting on an element oriented at an angle ‘D’ from the horizontal. Show these stresses on a sketch of an element oriented at this angle (X (MPa)=75) ( Y (MPa)=90) ( S (MPa)=40) ( 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.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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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 (σx', σy' and τxy') acting on an element oriented at an angle
‘D’ from the horizontal. Show these stresses on a sketch of an element
oriented at this angle
(X (MPa)=75) ( Y (MPa)=90) ( S (MPa)=40) ( 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.
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