### Problem Statement:A roadway sign weighs 5.4 kN and is supported by a structural pipe that has an outside diameter of 205 mm and a wall thickness of 14 mm. The resultant force of the wind pressure acting on the sign is 8 kN, as shown in the diagram. Assume \( a = 9.6 \) m, \( b = 3.7 \) m, \( P_2 = 8 \) kN, and \( P_y = 5.4 \) kN. (a) Determine the normal and shear stresses \( \sigma_H \) and \( \tau_{xyH} \) at point H. (b) Determine the normal and shear stresses \( \sigma_K \) and \( \tau_{yZK} \) at point K. ### Diagram Description:- The diagram features a structural pipe supporting a roadway sign.- The sign is subjected to a horizontal force \( P_2 \) and a vertical force \( P_y \).- A coordinate system is illustrated with x-axis and z-axis in horizontal directions and y-axis in the vertical direction.- Distances \( a \) and \( b \) are marked, representing the vertical and horizontal positioning of the sign, respectively.- Points H and K are indicated on the structural pipe, which signify the points where stresses are to be computed.### Required Calculations:1. Normal Stress ( \( \sigma_H \) and \( \sigma_K \) )2. Shear Stress ( \( \tau_{xyH} \) and \( \tau_{yZK} \) )### Input Fields:- \( \sigma_H \) = _____ MPa- \( \tau_{xyH} \) = _____ MPa- \( \sigma_K \) = _____ MPa- \( \tau_{yZK} \) = _____ MPa

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A roadway sign weighs 5.4 kN and is supported by a structural pipe that has an outside diameter of 205 mm and a wall thickness of 14 mm. The resultant force of the wind pressure acting on the sign is 8 kN, as shown. Assume a = 9.6 m, b = 3.7 m, P₂ = 8 kN, and Py = 5.4 kN. a) Determine the normal and shear stresses Oll. Tyllat point H. b) Determine the normal and shear stresses OK. Tyck at point K.

A roadway sign weighs 5.4 kN and is supported by a structural pipe that has an outside diameter of 205 mm and a wall thickness of 14 mm. The resultant force of the wind pressure acting on the sign is 8 kN, as shown. Assume a = 9.6 m, b = 3.7 m, P₂ = 8 kN, and Py = 5.4 kN. a) Determine the normal and shear stresses Oll. Tyllat point H. b) Determine the normal and shear stresses OK. Tyck at point K.

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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Question

### Problem Statement:
A roadway sign weighs 5.4 kN and is supported by a structural pipe that has an outside diameter of 205 mm and a wall thickness of 14 mm. The resultant force of the wind pressure acting on the sign is 8 kN, as shown in the diagram. Assume \( a = 9.6 \) m, \( b = 3.7 \) m, \( P_2 = 8 \) kN, and \( P_y = 5.4 \) kN.

(a) Determine the normal and shear stresses \( \sigma_H \) and \( \tau_{xyH} \) at point H.

(b) Determine the normal and shear stresses \( \sigma_K \) and \( \tau_{yZK} \) at point K.

### Diagram Description:
- The diagram features a structural pipe supporting a roadway sign.
- The sign is subjected to a horizontal force \( P_2 \) and a vertical force \( P_y \).
- A coordinate system is illustrated with x-axis and z-axis in horizontal directions and y-axis in the vertical direction.
- Distances \( a \) and \( b \) are marked, representing the vertical and horizontal positioning of the sign, respectively.
- Points H and K are indicated on the structural pipe, which signify the points where stresses are to be computed.

### Required Calculations:
1. Normal Stress ( \( \sigma_H \) and \( \sigma_K \) )
2. Shear Stress ( \( \tau_{xyH} \) and \( \tau_{yZK} \) )

### Input Fields:

- \( \sigma_H \) = _____ MPa
- \( \tau_{xyH} \) = _____ MPa
- \( \sigma_K \) = _____ MPa
- \( \tau_{yZK} \) = _____ MPa

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