A 'L' shaped post with a cylindrical cross-section is loaded with a concentrated load at its free end (asshown below). The lower support, point A, can be considered built in. The concentrated load, P, actson a horizontal plane. The circular cross-section of the pole has an outer diameter of 115mm and aninner diameter of 110mm.8m1.5mP = 1kNLocation of interest(at Point A)Not to scale.Figure 2: Post supporting a horizontal load, P.Table 2: The material properties for question 2.UnitsSymbolEGPad'allowMPaTallowMPaValue200.0100.055.0In order to assess the design, you will:a) Determine state of stress at P1. Then use these stresses to calculate the maximum principal(0₁) and maximum in-plane stress (Tmax) for P1 located at Point A. You must take into accountany stresses at this point due to bending, transverse shear and/or torsion. Ensure that yousketch the state of stress at this point clearly indicating the magnitude of the stresses andthe angle associated with the state of stress. State your answers to a precision of twodecimal points. You must also show the axes and your sign convention.

Given: To find: State of stress at P1

Answered: A 'L' shaped post with a cylindrical…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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A 'L' shaped post with a cylindrical cross-section is loaded with a concentrated load at its free end (as
shown below). The lower support, point A, can be considered built in. The concentrated load, P, acts
on a horizontal plane. The circular cross-section of the pole has an outer diameter of 115mm and an
inner diameter of 110mm.
8m
1.5m
P = 1kN
Location of interest
(at Point A)
Not to scale.
Figure 2: Post supporting a horizontal load, P.
Table 2: The material properties for question 2.
Units
Symbol
E
GPa
d'allow
MPa
Tallow
MPa
Value
200.0
100.0
55.0
In order to assess the design, you will:
a) Determine state of stress at P1. Then use these stresses to calculate the maximum principal
(0₁) and maximum in-plane stress (Tmax) for P1 located at Point A. You must take into account
any stresses at this point due to bending, transverse shear and/or torsion. Ensure that you
sketch the state of stress at this point clearly indicating the magnitude of the stresses and
the angle associated with the state of stress. State your answers to a precision of two
decimal points. You must also show the axes and your sign convention.

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Determine state of stress at the remaining points (P2, P3 and P4). Calculate the maximum
principal (σ1) and maximum in-plane stress (τmax) for the remaining points (P2, P3 and P4) located at Point A.

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