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■Problem statement Consider a cantilevered quarter-circle curved beam subjected to a uniform stress =σ, at the free end as shown. 1x2 b π/4 a B σα x₁ ■What is required? ● Derive the basic mechanics solutions for the hoop stress (a) and the shear stress (or) as functions of σo, a and b, r&a • Derive the analytical linear elasticity solutions for the radial stress (a,), the hoop stress (σ,) and the shear stress (are) as functions of σo, a and b, r&&

■Problem statement Consider a cantilevered quarter-circle curved beam subjected to a uniform stress =σ, at the free end as shown. 1x2 b π/4 a B σα x₁ ■What is required? ● Derive the basic mechanics solutions for the hoop stress (a) and the shear stress (or) as functions of σo, a and b, r&a • Derive the analytical linear elasticity solutions for the radial stress (a,), the hoop stress (σ,) and the shear stress (are) as functions of σo, a and b, r&&

Elements Of Electromagnetics
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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Derive the basic mechanics solutions for the hoop stress (Subscript[\[Sigma], \[Theta]]) and the shear stress (Subscript[\[Sigma], r\[Theta]]) as functions of Subscript[\[Sigma], 0], a and b, r & \[Theta].

Derive the analytical linear elasticity solutions for the radial stress (Subscript[\[Sigma], r]), the hoop stress (Subscript[\[Sigma], \[Theta]]) and the shear stress (Subscript[\[Sigma], r\[Theta]]) as functions of Subscript[\[Sigma], 0], a and b, r & \[Theta].

■Problem statement Consider a cantilevered quarter-circle curved beam subjected to a uniform stress =σ, at the free end as shown. 1x2 b π/4 a B σα x₁ ■What is required? ● Derive the basic mechanics solutions for the hoop stress (a) and the shear stress (or) as functions of σo, a and b, r&a • Derive the analytical linear elasticity solutions for the radial stress (a,), the hoop stress (σ,) and the shear stress (are) as functions of σo, a and b, r&&
Transcribed Image Text:■Problem statement Consider a cantilevered quarter-circle curved beam subjected to a uniform stress =σ, at the free end as shown. 1x2 b π/4 a B σα x₁ ■What is required? ● Derive the basic mechanics solutions for the hoop stress (a) and the shear stress (or) as functions of σo, a and b, r&a • Derive the analytical linear elasticity solutions for the radial stress (a,), the hoop stress (σ,) and the shear stress (are) as functions of σo, a and b, r&&
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