What is this equation, who developed it and when ?

Slides:

Advertisements

Similar presentations

INTRODUCTION TO MECHANICS FOR SOLIDS AND STRUCTURES

Advertisements

Supports TUTORIAL 3 to answer just click on the button or image related to the answer.

Chapter 7 Column Design (Part 2). Shearson Lehman/American Express Information Services Center, New York City. (Courtesy of Owen Steel Company, Inc.)

Structural System Overview

Indeterminate Structure Session Subject: S1014 / MECHANICS of MATERIALS Year: 2008.

Deflection of Indeterminate Structure Session Matakuliah: S0725 – Analisa Struktur Tahun: 2009.

2.3 Bending deformation of isotropic layer –classical lamination theory Bending response of a single layer Assumption of linear variation is far from.

Chapter 13 Buckling of Columns

Cantilevers Trey Talley C’13 Department of Physics and Astronomy Sewanee: The University of the South, Sewanee, TN Introduction Cantilevers can be found.

DEFLECTIONS (Chapter 8) WHY? FACTORS IN DESIGN Safety Esthetics Serviceability Environment Economy DETERMINACY Determinate Structures Equations of Equilibrium.

MECH303 Advanced Stresses Analysis Lecture 5 FEM of 1-D Problems: Applications.

Approximate Analysis of Statically Indeterminate Structures

Home Work #8 Due Date:, May 11, 2010 (Turn in your assignment at the mail box of S581 outside the ME general office) The solutions must be written on single-side.

Mechanics of Materials – MAE 243 (Section 002) Spring 2008 Dr. Konstantinos A. Sierros.

Euler’s Method. Leonhard Euler Pronounced like Leon-ard Oiler Swiss mathematician and physicist Introduced the idea of a function f(x) Wrote the work.

Theory of Structures - I

N-W.F.P University of Engineering & Technology Peshawar

Beams and Deflections Zach Gutzmer, EIT

The Finite Element Method

Bending of Beams MECHENG242 Mechanics of Materials 2.3 Combined Bending and Axial Loading 2.0 Bending of Beams 2.4 Deflections in Beams 2.5 Buckling (Refer:

Analysis of Beams and Frames Theory of Structure - I.

ME 201 Engineering Mechanics: Statics

Structural Design for Cold Region Engineering Lecture 14 Thory of Plates Shunji Kanie.

1 2. The number of unknowns a 1, a 2, a 3, a 4 equals the number of degrees of freedom of the element We have assumed that displacement u at coordinate.

FOREIGN LANGUAGES UNIT

TYPES OF BEAMS. TYPES OF BEAMS Type of Beams Simply Supported Beam Overhanging Beam Cantilever Beam Statically Determinate beam Simply Supported Beam.

Chapter 8 Slope-Deflection Method 傾角變位法

EULER, CARNOT, TORSION by Evie Antholis A Cluster 3 Production.

SUPPORT REACTIONS BY GP CAPT NC CHATTOPADHYAY. NEED FOR SUPPORT THE LOAD CARRYING STRUCTURES NEED SUPPORTS TO AVOID -DEFORMATION -BENDING -INSTABILITY.

Johann Bernoulli 1667 – 1748 Johann Bernoulli 1667 – 1748 Johann Bernoulli was a Swiss mathematician and was one of the many prominent mathematicians in.

☻ ☻ ☻ ☻ 2.0 Bending of Beams sx 2.1 Revision – Bending Moments

1 CHAP 4 FINITE ELEMENT ANALYSIS OF BEAMS AND FRAMES FINITE ELEMENT ANALYSIS AND DESIGN Nam-Ho Kim Audio: Raphael Haftka.

Exploring Structural Engineering Fundamentals.

John + = + = = = Daniel Bernoulli Leonard Euler The Euler Bernoulli Beam Theory 1750 Eiffel Tower.

MESF593 Finite Element Methods

Mechanics of Materials -Beams

Fundamentals of Structural Analysis, 3/e By Kenneth Leet, Chia-Ming Uang, and Anne Gilbert Lecture Outline.

Deform - What it means to change shape.

1D OF FINITE ELEMENT METHOD Session 4 – 6

alternate form of Euler’s equation

Chapter 7 – Transverse Shear (aka Beam Shear Stress)

CHAP 4 FINITE ELEMENT ANALYSIS OF BEAMS AND FRAMES

Mechanics of Materials Dr. Konstantinos A. Sierros

C. K. Pithawalla College of Engg. & Tech.

Solid Mechanics Course No. ME213.

Shear Stress in Beams Figure: 07-00CO.

Fixed and continuous beam

Advanced Engineering Mathematics

Basic structural design

MAT 311 Education for Service-- tutorialrank.com

Well building hath three conditions: Firmness Commodity

STATICS (ENGINEERING MECHANICS-I)

Numerical Analysis of a Beam

Bernoulli’s Principle

Equation Review Given in class 10/4/13.

قوانين برگزاري مناقصات و آيين نامه مالي و معاملاتي دانشگاه علوم پزشكي و خدمات بهداشتي ،درماني تهران

Eng Ship Structures 1 Hull Girder Response Analysis

Problem Parameters Steel beam

Structure I Course Code: ARCH 208

Equation Review.

Statics Course Code: CIVL211 Dr. Aeid A. Abdulrazeg

UNIT – I FLEXIBILITY MATRIX METHOD

Properties of Fluids.

alternate form of Euler’s equation

Visit for more Learning Resources

Stability and Determinacy of Structures

Presentation transcript:

What is this equation, who developed it and when ? What is this equation, who developed it and when ? Why is it important ?

Who are these two 18th Century Swiss Mathematicians ?

The Euler Bernoulli Beam Theory 1750 Leonard Euler 1707 - 1783 Daniel Bernoulli 1700 - 1782 𝑑 2 𝑑𝑥 2 𝐸𝐼 𝑑 2 𝑤 𝑑𝑥 2 =𝑞 The Euler Bernoulli Beam Theory 1750

Eiffel Tower under construction 1887-1889

How does this structure deform ? Applied Force Hinge Joint assumed rigid Roller Hinge How does this structure deform ? Is the correct deflected shape (a), (b), (c) or (d)