engineering mechanics statics - meriam and kraige (5th ed)engineering mechanics statics - meriam and...
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Engineering Mechanics StaticsTRANSCRIPT
![Page 1: Engineering Mechanics Statics - Meriam and Kraige (5th Ed)Engineering Mechanics Statics - Meriam and Kraige (5th Ed)](https://reader034.vdocuments.mx/reader034/viewer/2022050616/54675eb2b4af9f583f8b57ae/html5/thumbnails/1.jpg)
ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
Strength of Materials(ceng 1002) Semester II 2008
Introduction
specimen in tensile test (ultimate strength), imwf Stuttgart
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
Strength of MaterialsMechanics of MaterialsMechanics of Solids
from rigid to deformable bodies �
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
stress
Cutting plane � inner actionequilibrium at particle
stress
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
Stress
F F
F F
F
stress σ = F / A [kN/cm²]
example: suspended rod
- cross section area A [cm²]
- Force F [kN]
cutting planeinner actionequilibrium at particle
σ
F
A
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
Strain
F
2F
2F
example: suspended rod
-Length L-Elongation ∆L
L L
∆L2=2∆L1
strain ε = ∆L / L
F
F
L
∆L1
strain εproportional to stress σ
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
Hooke’s Law
linear equation : σ = Eε
E = Young�s Modulus
strain ε
stress σ[kN/m²]
gradient E [kN/m²]
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
Hooke’s Law
Example: Bungee Cable
- Stress Analysis
- Serviceability
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
Material Properties
stress-strain diagram of mild steelaxial loadingtensile test
determination oftensile strengthand Young�s Modulus
area of plasticity
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
Material Properties
ε
σductile material brittle material
ε
σ
tensile test
image of failure, compression test
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
deflection due to loading
strain
stre
ss
specimen in tensile test (ultimate strength), imwf Stuttgart
Material Properties
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
Material Properties
Concrete specimen in compression test
free blocked
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
Deflection due to condition of loading
tension compression bending torque shear
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
Material Properties
Timber
perpendiculartensile stress due to shrinkage
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
Material Properties
Timber
orthotropic material behaviour
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
Material Properties
cycling curves for material creepe.g. synthetics, textiles Danzer, S.18
time
time
time
time
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
Material Properties
Steeltime
time
time
time
deflection due to temperature (fire exposure) Brandschutzatlas
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
Material Properties
Steel deflection due to temperature (fire exposure) Brandschutzatlas
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
Stability
Buckling of columnsEuler Formula
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
Stability
Buckling of columns
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
Stability
Buckling of columns
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
Concept of Design
load assumption : safety factor
material strength : reduction factor
stress analysis : design stress < allowable stress (stability)
serviceability : design deflection < limit deflection
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
Unexpected loads
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
Design Project “Bottle Bubble” Example: from an unknown material to construction
University of Karlsruhe, 2005
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
Material Behaviour - determining the Elastic Modulus
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
![Page 26: Engineering Mechanics Statics - Meriam and Kraige (5th Ed)Engineering Mechanics Statics - Meriam and Kraige (5th Ed)](https://reader034.vdocuments.mx/reader034/viewer/2022050616/54675eb2b4af9f583f8b57ae/html5/thumbnails/26.jpg)
ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
Calculation
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
![Page 28: Engineering Mechanics Statics - Meriam and Kraige (5th Ed)Engineering Mechanics Statics - Meriam and Kraige (5th Ed)](https://reader034.vdocuments.mx/reader034/viewer/2022050616/54675eb2b4af9f583f8b57ae/html5/thumbnails/28.jpg)
ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
Lectures: Monday 8:15 � 10:00 a.m. Room No4
Karsten Schlesier
Tutorials: Friday 8:15 � 11:40 a.m. Room No4
Mesgana Seyoum
Consultation: Thursday 4:00 � 6:00 p.m. Room 211
Karsten Schlesier
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
Final Exam14.07.2008mo16
07.07.2008mo15
Workshop30.06.2008mo14
Lab Session 223.06.2008mo13
Buckling Analysis616.06.2008mo12
Stability of Compression Members609.06.2008mo11
Compound Stresses 502.06.2008mo10
Torsion426.05.2008mo9
Mid-Semester Exam19.05.2008mo8
Lab Session 112.05.2008mo7
Deflection of Beams305.05.2008mo6
Bending of Beams328.04.2008mo5
Strain - Axial Load221.04.2008mo4
Stress - Axial Load114.04.2008mo3
Introduction to SOM07.04.2008mo2
Course Information04.04.2008fr1
ContentChapterDatedayweek
Calender Semester II 2008
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
Course Outline
1 Stress – Axial LoadsNormal Stress, Shearing Stress, Transformation of Stress, Concept of Design
2 Strain – Axial LoadsStrain, Stress-Strain Diagram, Hooke�s Law, Deflection under Axial Load, Material Properties
3 Bending of BeamsStress due to pure Bending, Shearing Stress in Beams, Moment of Inertia, Stress Distribution, Deflection of Beams, Design of Beams
4 TorsionMoment of Torsion, Shearing Stresses and Deformations of Circular Shafts
5 Analysis of plane StressCompound Stresses, Combined Stresses, Transformation of Stress, Mohr�s Circle
6 Stability of Compression MembersEuler Formula, Buckling Load, Buckling Analysis
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
Assessment / Requirements
Minimum of 75% attendance during lecture hours and tutorials, 100% attendance during practical work sessions (except for unpredicted mishaps) � watch notice for further details.
Quota of Total Course Credit: 40% mid-semester examination40% final-semester examination20% assignments, practical workshop
Literature
Popov, E.P., Mechanics of Materials Beer and Johnson, Mechanics of Materials, 2001Gere and Timoshenko, Mechanics of Materials, 1990
E-learning Platform
www.elboon.net (elearning board online) � under construction!www.ocw.mit.edu MIT open courseware � Solid Mechanics
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ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil EngineeringStrength of Materials
ADDIS ABABA UNIVERSITYFaculty of Technology
Department ofCivil Engineering
G. Galileo