**Pole Vaulting Stress Analysis****Problem Statement:**A picture is taken of a pole vaulter, and the minimum radius of curvature of the pole is estimated to be 5 m. If the pole is 45 mm in diameter and it is made of a glass-reinforced plastic for which E = 131 GPa, determine:a) The maximum strain in the pole.b) The maximum tensile stress in the pole.c) The maximum compressive stress in the pole.**Diagram Description:**The diagram illustrates a pole vaulter using a flexible pole during a vault. The pole is bent, forming an arc with a given radius of curvature (ρ) of 5 meters. The pole is shown embedded in the ground and bent towards the vaulter, who is suspended in the air above mats.**Analysis Steps:**1. **Maximum Strain in the Pole**: Calculate using the relationship between curvature, diameter, and modulus of elasticity.2. **Maximum Tensile Stress in the Pole**: Determine using the formula for stress in bending, considering the outer fibers of the pole where tensile stress is at maximum.3. **Maximum Compressive Stress in the Pole**: Similar to tensile stress but focused on the inner fibers of the pole where compressive stress is highest.This analysis provides insights into the mechanical stresses experienced by the pole during vaulting, relying on properties of materials such as Young's Modulus.

A picture is taken of a pole vaulter, and the minimum radius of curvature of the pole is estimated to be 5 m. If the pole is 45 mm in diameter and it is made of a glass-reinforced plastic for which E = 131 GPa, determine: a) The maximum strain in the pole. b) The maximum tensile stress in the pole. c) The maximum compressive stress in the pole.

A picture is taken of a pole vaulter, and the minimum radius of curvature of the pole is estimated to be 5 m. If the pole is 45 mm in diameter and it is made of a glass-reinforced plastic for which E = 131 GPa, determine: a) The maximum strain in the pole. b) The maximum tensile stress in the pole. c) The maximum compressive stress in the pole.

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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Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

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**Pole Vaulting Stress Analysis**

**Problem Statement:**

A picture is taken of a pole vaulter, and the minimum radius of curvature of the pole is estimated to be 5 m. If the pole is 45 mm in diameter and it is made of a glass-reinforced plastic for which E = 131 GPa, determine:

a) The maximum strain in the pole.
b) The maximum tensile stress in the pole.
c) The maximum compressive stress in the pole.

**Diagram Description:**

The diagram illustrates a pole vaulter using a flexible pole during a vault. The pole is bent, forming an arc with a given radius of curvature (ρ) of 5 meters. The pole is shown embedded in the ground and bent towards the vaulter, who is suspended in the air above mats.

**Analysis Steps:**

1. **Maximum Strain in the Pole**:

Calculate using the relationship between curvature, diameter, and modulus of elasticity.

2. **Maximum Tensile Stress in the Pole**:

Determine using the formula for stress in bending, considering the outer fibers of the pole where tensile stress is at maximum.

3. **Maximum Compressive Stress in the Pole**:

Similar to tensile stress but focused on the inner fibers of the pole where compressive stress is highest.

This analysis provides insights into the mechanical stresses experienced by the pole during vaulting, relying on properties of materials such as Young's Modulus.

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