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Shear Forces and Bending Moments in Beams Shear Forces and Bending Moments in Beams

Shear Forces and Bending Moments in Beams - PowerPoint Presentation

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Uploaded On 2017-03-22

Shear Forces and Bending Moments in Beams - PPT Presentation

Chapter 13 Strengths Introduction Beams are members that carry transverse loads and are subjected to bending Any member subject to bending is referred to as a beam Beams considered in this course are limited ID: 528014

beam shear force section shear beam section force moment bending forces beams internal equal positive diagram load types separated

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Slide1

Shear Forces and Bending Moments in Beams

Chapter 13 StrengthsSlide2

Introduction

Beams are members that carry transverse loads and are subjected to bending

Any member subject to bending is referred to as a beam

Beams considered in this course are limited

Straight and uniform cross section

Horizontal

Subject to forces applied in vertical planeSlide3

Types of Beams

Types of Beam Support

Roller Support

Hinge Supports

Fixed Supports

Types of Beams

Simple Beam

Overhanging Beam

Cantilever Beam

Propped Cantilever Beam

Fixed Beam

Continuous beamSlide4

Types of Loading

Concentrated Loads – applied at a specific point

Uniform Loads – distributed over a part or the entire length

Linearly Varying Loads –distributed load with uniform variation of intensitySlide5

Beam Reactions

Review Beam Reaction calculations

Example 13-1

Example 13-2Slide6

Shear Force and Bending Moment in Beams

Internal shear force and bending moment are developed in a beam to resist the external forces and to maintain equilibrium

Finding internal forces at section, pass a plane through the section so the beam is separated into two parts

The entire beam is in equilibrium each part of the beam separated must also be in equilibrium

Beam Sign conventions – Internal shear forces

Positive shear – cause beam to move up on the left side

Positive moment – external forces produce a bending effect to bend concave upward.Slide7

Internal Shear Force and Bending Moment Rules

For Finding Shear Forces – the internal shear force at any section of a beam is equal to the algebraic sum of the external forces on either segment separated by the section. If the summation is from the left end of the beam to the section, treat the upward forces as positive. If the summation is from the right end of the beam to the section, treat the downward forces as positive.

For Finding Bending Moments – the internal bending moment at any section of a beam is equal to the algebraic sum of the moments about the section due to the external forces n either segment separated by the section. In either case treat the moment produced by upward forces as positive.Slide8

Shear Force and Bending Moment Diagrams

Shear force and bending moment diagram show shear force and bending moment along the beam

Diagrams show magnitudes and locations of the maximum shear force and the maximum bending moment.Slide9

Relationship load, Shear, Moment

Slope of the shear diagram at any section is equal to the load intensity at that section

Shear force at a section is equal to the shear force at the previous section plus the total load between the two sections.

Shear diagram has an abrupt change at the concentrated load, an upward force will cause an abrupt increase in the shear force, downward force will cause an abrupt decrease in the shear force.

Slope of the moment diagram at any section is equal to the value of the shear force at that section

The moment at a section is equal to the moment at the previous section plus the area under the shear diagram between the two sections.