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

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. Symbol E d'allow Tallow Value 200.0 100.0 55.0 Units GPa MPa MPa In order to assess the design, you will: a) Determine state of stress at P1. Then use these stresses to calculate the maximum principal (0₂) 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.

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. Symbol E d'allow Tallow Value 200.0 100.0 55.0 Units GPa MPa MPa In order to assess the design, you will: a) Determine state of stress at P1. Then use these stresses to calculate the maximum principal (0₂) 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.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.9.5P: A sign for an automobile service station is supported by two aluminum poles of hollow circular cross...

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