1. The frame ABC, supported by a clamp at A and a roller at C, will be used to support a distributed load q acting vertically downward, as shown in the figure. The cross-section of the beam is rectangular with the height = 20 cm and the width = 10 cm. E=200 GPa and σy=300 MPa. q B L A L/3 C a) Determine the reaction at C if q = 20 kN/m and L=3 m. Use Castigliano's second theorem. b) Calculate the safety factor for this application according to the Tresca criterion. Neglect stresses caused by internal shear and normal forces.

1. The frame ABC, supported by a clamp at A and a roller at C, will be used to support a distributed load q acting vertically downward, as shown in the figure. The cross-section of the beam is rectangular with the height = 20 cm and the width = 10 cm. E=200 GPa and σy=300 MPa. q B L A L/3 C a) Determine the reaction at C if q = 20 kN/m and L=3 m. Use Castigliano's second theorem. b) Calculate the safety factor for this application according to the Tresca criterion. Neglect stresses caused by internal shear and normal forces.

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

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.

Question

1. The frame ABC, supported by a clamp at A and a roller at C, will be used to support a distributed
load q acting vertically downward, as shown in the figure. The cross-section of the beam is
rectangular with the height = 20 cm and the width = 10 cm. E=200 GPa and σy=300 MPa.
q
B
L
A
L/3
C
a) Determine the reaction at C if q = 20 kN/m and L=3 m. Use Castigliano's second theorem.
b) Calculate the safety factor for this application according to the Tresca criterion. Neglect stresses
caused by internal shear and normal forces.

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Step 3: The safety factor for this application according to the Tresca criterion given in the below

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