Week 7_Shear force and bending moment.pdf

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Announcement

• 1^st Lab report due April 12^th

• Homework (Chap 3 Torsion) due April 19^th

• 2^nd Lab session on April 24^th and 26th

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Chap. 4 Shear Forces and Bending Moments

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Chap. 4 Shear Forces and Bending Moments

4.1 Introduction

4.2 Types of Beams, Loads, and Reactions 4.3 Shear Forces and Bending Moments

4.4 Relationships btw Loads, Shear Forces and Bending Moments 4.5 Shear-Force (SFD) and Bending-Moment Diagrams (BMD)

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Introduction

Shear Force and Bending Moment and Deflection

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Types of Supports

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Types of Supports

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Types of beams and loads

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Simple beam

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Cantilever beam

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Beam with an overhang

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Shear Forces and Bending Moments

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Shear Forces and Bending Moments

Notation

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Relationships btw Loads, Shear Forces and Bending Moments

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Distributed loads

Equilibrium of forces in the vertical direction

Equilibrium of moment about an axis at the left-hand side of the element

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Concentrated loads

Equilibrium of forces in the vertical direction

Equilibrium of moments about the left-hand face of the element

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Loads of couples

Equilibrium of moments about the left-hand side of the element:

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Shear-Force (SFD) and Bending Moment Diagrams (BMD)

Point loading

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Point loading

SFD

or

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Uniform loading

SFD

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Several concentrated loads

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Summary

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