Lecture 12: Moment Distribution Method

Slides:



Advertisements
Similar presentations
7. MOMENT DISTRIBUTION METHOD
Advertisements

ANALYSIS OF STATICALLY DETERMINATE STRUCTURES
Deflection of Indeterminate Structure Session Matakuliah: S0725 – Analisa Struktur Tahun: 2009.
LECTURE SERIES on STRUCTURAL OPTIMIZATION Thanh X. Nguyen Structural Mechanics Division National University of Civil Engineering
CIEG 301: Structural Analysis
Matrix Methods (Notes Only)
CTC / MTC 222 Strength of Materials
CE 384 STRUCTURAL ANALYSIS I Öğr. Gör. Dr. Nildem Tayşi.
ENGR 220 Section 6.1~6.2 BENDING.
ME 221Lecture 231 ME 221 Statics Lecture #23 Sections 5.6 & 5.7.
DISPLACEMENT MEDTHOD OF ANALYSIS: MOMENT DISTRIBUTION
SHEAR AND MOMENT DIAGRAMS WITH APPLICATIONS IN TWO ORTHOGONAL PLANES
Beams – Internal Effects The external load applied to a beam can cause changes in the shape of the beam, it can bend for example. We do not want.
Beam Analysis Civil Engineering and Architecture
Eng Ship Structures 1 Hull Girder Response Analysis
Moment Area Theorems: Theorem 1:
ERT 348 Controlled Environment Design 1
5. ANALYSIS OF INDETERMINATE STRUCTURES BY FORCE METHOD
CE 329 Structural Analysis Spring Objectives ― General List Course Objectives Describe Topical Coverage for Class Provide the Formula for Computing.
An introduction to the finite element method using MATLAB
ERT 348 Controlled Environment Design 1
Eng Ship Structures 1 Hull Girder Response Analysis
THE ANALYSIS OF BEAMS & FRAMES
Generation of Influence Lines Using Statics Objectives of the materials covered: The student should be able use the equations of statics to generate an.
AERSP 301 Shear of closed section beams Jose Palacios.
Lecture #9 Analysis of fuselage frames using the force method.
Structural Design for Cold Region Engineering Lecture 14 Thory of Plates Shunji Kanie.
Second Order Analysis In the previous classes we looked at a method that determines the load corresponding to a state of bifurcation equilibrium of a perfect.
By Prof. Dr. Wail Nourildean Al-Rifaie
Structural Analysis 7 th Edition in SI Units Russell C. Hibbeler Chapter 12: Displacement Method of Analysis: Moment Distribution.
CE Statics Chapter 5 – Lectures 4 and 5. EQUILIBRIUM IN THREE DIMENSIONS Free-Body Diagram Equations of Equilibrium.
Procedure for drawing a free-body diagram - 2-D force systems Imagine the body to be isolated or cut “free” from its constraints and connections, draw.
Slope Deflection Method
ARCHITECTURE 2351 INTRODUCTION TO STRUCTURE CONCEPTS.
STIFFNESS MATRIX METHOD
5. Torsional strength calculation. 5.1 Torsional loads acting on a ship hull.
7. MOMENT DISTRIBUTION METHOD
Eng Ship Structures 1 Hull Girder Response Analysis
Structures and Machines
Superposition & Statically Indeterminate Beams
ES2501: Statics/Unit 16-1: Truss Analysis: the Method of Joints
Equilibrium of Rigid Bodies
ALPHA COLLEGE OF ENGINEERING AND TECHNOLOGY
Slope-Deflection Method for beams
Deflections using energy methods
INTERNAL FORCES AND FORCES IN BEAMS
PRINCIPLES OF STIFFNESS METHOD FOR BEAMS AND PLANE FRAMES
Find 4 A + 2 B if {image} and {image} Select the correct answer.
Structure Analysis I Eng. Tamer Eshtawi.
Structure Analysis I Eng. Tamer Eshtawi.
CHAPTER 2 BASIC CONCEPTS OF DISPLACEMENT OR STIFFNESS METHOD:
Structure Analysis I Eng. Tamer Eshtawi.
CHAPTER 1 Force Analysis. Deformation Analysis.
Equilibrium of Rigid Bodies
Students will be able to:
Structural Analysis II
Structural Analysis II
Equilibrium of Rigid Bodies
Determinacy and Stability of Structures
Structural Analysis II
Internal Forces.
Structural Analysis UNIT 4 MOMENT DISTRIBUTION METHOD
What is a beam? Structural member that supports a load
Structure I Course Code: ARCH 208 Dr. Aeid A. Abdulrazeg
Structure I Course Code: ARCH 208
Equilibrium of Rigid Bodies
Statics Course Code: CIVL211 Dr. Aeid A. Abdulrazeg
Eng Ship Structures 1 Hull Girder Response Analysis
CE Statics Chapter 7 – Lecture 3.
Various Types of Beam Loading and Support
Presentation transcript:

Lecture 12: Moment Distribution Method Eng. 6002 Ship Structures 1 Lecture 12: Moment Distribution Method

Moment Distribution Method The method of moment distribution is a refinement of the classical displacement method presented previously. Instead of solving a matrix equation for the unknown joint rotations, the method of moment distribution uses successive approximations. The method the primary method of analyzing structures that respond primarily in bending until the 1970s, when computer software for structural analysis became generally available.

Steps Compute the moments at the ends of each member in the structure, assuming that all joints which are free to rotate are restrained by a fictitious rotation constant Sum the member end moments at each joint to determine the unbalanced moment which is being restrained by the fictitious rotation constraint. It is not necessary to compute the unbalanced moments at any support joint which has a rotational restraint, since the member and end-moments will be automatically balanced by the reactive moment

Steps Remove the fictitious rotation restraint at each joint in turn, assuming that the other joints are still restrained against rotation, and distribute the unbalanced moment at the joint to the ends of the members which are rigidly attached to the joint In addition, distribute a percentage of the moment along each member to its far joint to keep that joint from rotating. Repeat the distribution process in Step 3 for each joint as many times as necessary until the member end moments are balanced at each joint within an acceptable value. The final member and end moments will correspond to the correct end moments for this structure and loading condition Compute the axial forces and shear forces in the members by using the member equilibrium equations, and compute the reactive forces and reactive moments at the support joints by using the joint equilibrium equations.

Fixed-end moments