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

Slides:



Advertisements
Similar presentations
T4. DESIGN OF TIMBER COLUMN (axial compression) T4. Design of timber column page 1. Timber framed building Floor plan Section Example: Checking column.
Advertisements

Deflection of Indeterminate Structure Session Matakuliah: S0725 – Analisa Struktur Tahun: 2009.
STRENGTH OF MATERIALS  TEXTBOOK: MECHANICS OF MATERIALS, 3RD EDITION, BY Beer et al.   TEXTBOOK: MECHANICS OF COURSE CONTENT: Concept of stress; stress.
Mechanics of Materials Lab
Unless otherwise noted, the content of this course material is licensed under a Creative Commons Attribution 3.0 License.
DEFLECTIONS (Chapter 8) WHY? FACTORS IN DESIGN Safety Esthetics Serviceability Environment Economy DETERMINACY Determinate Structures Equations of Equilibrium.
ENGR 220 Section 6.1~6.2 BENDING.
Composite Beam Transformed homogeneous beam obtained through a transformation factor: n = E1E2E1E2 dF = σ dA = σ dA’ σ dz dy = σ’ n dz dy σ = n σ’ and.
Structure Analysis I. Lecture 8 Internal Loading Developed in Structural Members Shear & Moment diagram Ch.4 in text book.
4 Pure Bending.
ECIV 320 Structural Analysis I Internal Loadings in Structural Members Sections 4.1 – 4.5 Study all examples.
Deflections of Beams and Shafts Deflection and slope are sometimes the limiting factors in beam and shaft design. Methods for solving deflection and problems.
Chapter Outline Shigley’s Mechanical Engineering Design.
Mechanics of Materials Lecture 3 Chapter1 - Part 3.
Beams Beams: Comparison with trusses, plates t
10 Pure Bending.
PROBLEM mm x y 800 mm P = 1500 N z y 50 mm 100 mm
Bending Shear and Moment Diagram, Graphical method to construct shear
Shear Forces & Bending Moments Shear & Moment Diagrams
Moment Area Theorems: Theorem 1:
CTC / MTC 222 Strength of Materials
Deflections of Beams and Shafts
Beams and Deflections Zach Gutzmer, EIT
Jiangyu Li, University of Washington Lecture 2-4 Beam Mechanics of Materials Laboratory Sec. 3-4 Jiangyu Li University of Washington Mechanics of Materials.
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:
Design of a Transmission Shaft
Strength Resistance to failure. Strength Types 1.Compressive strength 2.Tensile strength 3.Flexural strength 4.Shear strength 5.Torsional strength 6.Bond.
Analysis of Beams and Frames Theory of Structure - I.
Eng. Tamer Eshtawi First Semester
CIVL3310 STRUCTURAL ANALYSIS
Strength of Materials Outline Overview AXIALLY LOADED MEMBERS THIN-WALLED CYLINDER GENERAL STATE OF STRESS PLANE STRESS + MOHR’S CIRCLE PLANE STRAIN +
Mechanics of Materials
☻ 2.0 Bending of Beams sx 2.1 Revision – Bending Moments
Copyright Kaplan AEC Education, 2005 Mechanics of Materials Outline Overview AXIALLY LOADED MEMBERS, p. 262 Modulus of Elasticity Poisson’s Ratio Thermal.
Unit-5. Torsion in Shafts and Buckling of Axially Loaded Columns Lecture Number-3 Mr. M.A.Mohite Mechanical Engineering S.I.T., Lonavala.
☻ 1.0 Axial Forces 2.0 Bending of Beams M M
Structure Analysis I. Lecture 7 Internal Loading Developed in Structural Members Ch.4 in text book.
Beams - structural members supporting loads at various points along the member. Transverse loadings of beams are classified as concentrated loads or distributed.
☻ ☻ ☻ ☻ 2.0 Bending of Beams sx 2.1 Revision – Bending Moments
Tate Bischoff & Joe Osborn.  Axial load of 500lbs  2in diameter shaft.
Influence Line Diagrams-I
3.9 Linear models : boundary-value problems
BME 315 – Biomechanics Chapter 4. Mechanical Properties of the Body Professor: Darryl Thelen University of Wisconsin-Madison Fall 2009.
Draft copy – Yet to modify
Structure Analysis I Eng. Tamer Eshtawi.
Design of a Transmission Shaft
Principle Stresses Under a Given Loading
Slope-Deflection Method for beams
ES2501: Statics/Unit 20-1: Internal Forces in Beams
Reinforced Concrete Design-2 Introduction
Tapered Beams: Engineers often taper beams so that the beam strength is larger where the bending moment is larger.
Revision for Mechanics of Materials
Chapter No. 04 Equilibrium
4 Pure Bending.
STRESS DUE TO BENDING.
Structure I Course Code: ARCH 208 Dr. Aeid A. Abdulrazeg
Axially loaded columns
Structure Analysis I Eng. Tamer Eshtawi.
Resistência dos Materiais, 5ª ed.
Influence Line Diagrams-I
Internal Forces.
Structural Analysis II
Structural Analysis UNIT 4 MOMENT DISTRIBUTION METHOD
Introduction Classification of Beam Supports.
Structural Analysis II
Shear Force & Bending Moment Diagrams
4 Pure Bending.
Lecture # 23 & 24 Compound Stress Objective:-
Structure Analysis I Eng. Tamer Eshtawi.
Presentation transcript:

☻ ☻ 2.0 Bending of Beams sx 2.1 Revision – Bending Moments 2.2 Stresses in Beams x sx Mxz P 2.3 Combined Bending and Axial Loading (Refer: B,C & A –Sec’s 6.11, 6.12) P1 P2 2.4 Deflections in Beams (Refer: B,C & A –Sec’s 7.1-7.4) 2.5 Buckling (Refer: B,C & A –Sec’s 10.1, 10.2)

2.3 Combined Bending and Axial Loading (Refer: B, C & A–Sec 6.11, 6.12) 2.3.1 Superposition How does axial stress distribution look? L P1 i) Axial Loading x y z P1 P2 x y Mxz Fxx Qxy P1.L P2 x P2 A P1 +ve Fxx=P2 Fxx Normal Force Diagram x y x

Bending Moment Diagram ii) Bending P1 L y Mxz P1.L P2 P2 x Fxx y P1 x P1 z x P2 Bending Moment Diagram Mxz x A -ve -P1.L y x NA

+ = Using SUPERPOSITION: y P1 z x P2 Note: at x=0 and y’=+yMax A (at the fixed end) x y y NA + = NA

2.3.2 Eccentric Axial Loading z o y P P o x z y x P C L y P e y x C L Mxz=Pe P

x C L y x C L y x C L y NA