**Problem Description:**The sign is supported by a hollow structural tube with an outer diameter of 15 inches and a wall thickness of 0.5 inches. Given the weight and the design wind load, both acting at the center of the sign, determine the state of stress at points \( A \) and \( B \).**Instructions:**- Write each state of stress in the form of a tensor, observing the \( x-y-z \) coordinate system shown.- Sketch the stresses acting on a differential element at each point.**Diagram Explanation:**The 3D diagram illustrates a sign positioned horizontally at the top of a vertical structural tube. The sign's center experiences two loads:1. **Vertical Load:** 3 kips acting downward at the center of the sign.2. **Horizontal Load:** 3 kips acting horizontally at the center, simulating wind pressure.The tube's base is mounted on a fixed support on the ground. The coordinate system is aligned such that:- The \( x \)-axis is horizontal, aligned with the direction of the horizontal wind load.- The \( y \)-axis is horizontal and perpendicular to the wind load (depth direction).- The \( z \)-axis is vertical, aligned with the direction of gravitational pull and vertical load.**Dimensions:**- **Height of Tube:** 8 feet- **Distance from Tube to Edge of Sign (on x-axis):** 9 feet- **Distance from Tube to Edge of Sign (on y-axis):** 3 feetGiven this setup, the stresses at points \( A \) and \( B \) need to be calculated. Each point pertains to specific locations on the tube and sign where the stress will be analyzed and drawn as a tensor.

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The sign is supported by a hollow structural tube of 15 in. outer diameter and 0.5 in. wall thickness. Given the weight and the design 3 ft wind loading both acting at the center of the sign, determine the state of stress at points a and 6. Write each state of stress in the form of a tensor, observing the r y-z cordinate system shown, and sketch the stresses acting on a differential element at each point. s kips 3 kips" 3 ft

The sign is supported by a hollow structural tube of 15 in. outer diameter and 0.5 in. wall thickness. Given the weight and the design 3 ft wind loading both acting at the center of the sign, determine the state of stress at points a and 6. Write each state of stress in the form of a tensor, observing the r y-z cordinate system shown, and sketch the stresses acting on a differential element at each point. s kips 3 kips" 3 ft

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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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

**Problem Description:**

The sign is supported by a hollow structural tube with an outer diameter of 15 inches and a wall thickness of 0.5 inches. Given the weight and the design wind load, both acting at the center of the sign, determine the state of stress at points \( A \) and \( B \).

**Instructions:**

- Write each state of stress in the form of a tensor, observing the \( x-y-z \) coordinate system shown.
- Sketch the stresses acting on a differential element at each point.

**Diagram Explanation:**

The 3D diagram illustrates a sign positioned horizontally at the top of a vertical structural tube. The sign's center experiences two loads:

1. **Vertical Load:** 3 kips acting downward at the center of the sign.
2. **Horizontal Load:** 3 kips acting horizontally at the center, simulating wind pressure.

The tube's base is mounted on a fixed support on the ground. The coordinate system is aligned such that:

- The \( x \)-axis is horizontal, aligned with the direction of the horizontal wind load.
- The \( y \)-axis is horizontal and perpendicular to the wind load (depth direction).
- The \( z \)-axis is vertical, aligned with the direction of gravitational pull and vertical load.

**Dimensions:**

- **Height of Tube:** 8 feet
- **Distance from Tube to Edge of Sign (on x-axis):** 9 feet
- **Distance from Tube to Edge of Sign (on y-axis):** 3 feet

Given this setup, the stresses at points \( A \) and \( B \) need to be calculated. Each point pertains to specific locations on the tube and sign where the stress will be analyzed and drawn as a tensor.

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