Week 7_Shear force and bending moment.pdf

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Announcement @Copyright Prof. Juhyuk Moon (문주혁), CEE, SNU 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

Transcript of Week 7_Shear force and bending moment.pdf

Announcement

@Copyright Prof. Juhyuk Moon (문주혁), CEE, SNU

• 1st Lab report due April 12th

• Homework (Chap 3 Torsion) due April 19th

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

Chap. 4 Shear Forces and Bending Moments

@Copyright Prof. Juhyuk Moon (문주혁), CEE, SNU

Chap. 4 Shear Forces and Bending Moments

@Copyright Prof. Juhyuk Moon (문주혁), CEE, SNU

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)

Introduction

@Copyright Prof. Juhyuk Moon (문주혁), CEE, SNU

Shear Force and Bending Moment and Deflection

Types of Supports

@Copyright Prof. Juhyuk Moon (문주혁), CEE, SNU

@Copyright Prof. Juhyuk Moon (문주혁), CEE, SNU

Types of Supports

Types of beams and loads

@Copyright Prof. Juhyuk Moon (문주혁), CEE, SNU

Types of beams and loads

@Copyright Prof. Juhyuk Moon (문주혁), CEE, SNU

Simple beam

Types of beams and loads

@Copyright Prof. Juhyuk Moon (문주혁), CEE, SNU

Cantilever beam

Types of beams and loads

@Copyright Prof. Juhyuk Moon (문주혁), CEE, SNU

Beam with an overhang

Shear Forces and Bending Moments

@Copyright Prof. Juhyuk Moon (문주혁), CEE, SNU

Shear Forces and Bending Moments

@Copyright Prof. Juhyuk Moon (문주혁), CEE, SNU

Notation

Relationships btw Loads, Shear Forces and Bending Moments

@Copyright Prof. Juhyuk Moon (문주혁), CEE, SNU

Distributed loads Concentrated loads Loads of couples

Relationships btw Loads, Shear Forces and Bending Moments

@Copyright Prof. Juhyuk Moon (문주혁), CEE, SNU

Distributed loads

Equilibrium of forces in the vertical direction

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

Relationships btw Loads, Shear Forces and Bending Moments

@Copyright Prof. Juhyuk Moon (문주혁), CEE, SNU

Concentrated loads

Equilibrium of forces in the vertical direction

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

Relationships btw Loads, Shear Forces and Bending Moments

@Copyright Prof. Juhyuk Moon (문주혁), CEE, SNU

Loads of couples

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

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

@Copyright Prof. Juhyuk Moon (문주혁), CEE, SNU

Point loading

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

@Copyright Prof. Juhyuk Moon (문주혁), CEE, SNU

Point loading

SFD

BMD

or

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

@Copyright Prof. Juhyuk Moon (문주혁), CEE, SNU

Uniform loading

SFD

BMD

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

@Copyright Prof. Juhyuk Moon (문주혁), CEE, SNU

Several concentrated loads

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

@Copyright Prof. Juhyuk Moon (문주혁), CEE, SNU

Several concentrated loads

or

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

@Copyright Prof. Juhyuk Moon (문주혁), CEE, SNU

Several concentrated loads

or

Summary