CH2. STRAIN
Failure of concrete
bridge abutment due to
excessive stress
excessive stress
caused concrete to
strain until it fractured.
Lecture Objectives
Introduction
Deformation
Normal Strain
Shear Strain
Application
2.1 Deformation
Deformation
Ch
CH.10 STRAIN TRANSFORMATION
Analysis of Airplane Wing
Complex Stresses
Measured Strains
(Strain Gauge Data)
3D:
ex , e y , ez
gxy , gxz , gyz
2D: (plane strain)
e x , e y , gxy
Objectives
Plane strain transformation
Mohrs circle-plane strain
Strain ros
CH.9 STRESS TRANSFORMATION
Turbine blades under complex
pattern of stress
Design: Where and in what
direction the maximum stress
occurs?
Objectives
Plane stress transformation
Three dimensional stress transformation
Maximum normal stress
Maximum she
CH.8 COMBINED LOADINGS
Offset column subjected to
the combined loadings of
normal force,
shear force,
bending moment &
torsion.
Objectives
Stress Analysis due to Combined Loading
Axial load
Torsion
Bending
Shear
Thin-walled pressure vessels
Solution
CH.12 DEFLECTIONS OF BEAMS AND SHAFTS
The shelf loading
causes deflection of
the supporting beam
Objectives
Deflection and slope of beam
Integration method
Discontinuity functions
Method of superposition
Moment area method
Support reactions for stat
CH5. TORSION
Lecture Objectives
Introduction
Effects of torsional loading on a long straight members
shaft or tube
Circular cross-section
Noncircular cross-section
Stress distribution
Angle of twist
Analysis of shafts and tubes
Statically determin
CH.7 TRANSVERSE SHEAR
- Railroad ties act as beams
- Very large transverse
shear loading
- Wooden ties tends to split
at their ends where the
shear loads are the largest.
Objectives
Introduction
Shear stress
Shear flow
Shear center
A method for findin
CH.6 BENDING
Objectives
Introduction
Beams & Shafts
To determine the stress caused by bending.
Shear and Moment Diagrams
- Largest shear & moment, & their location
- Bending stress from Internal moment
Graphical Methods for Constructing
Shear and Momen
WELCOME
University of North Dakota
Department of Civil Engineering
ENGR203MechanicsofMaterials
Summer 2012
Credits: 3
Prerequisites:
ENGR 201: Statics
Syllabus
Instructor:
Office:
Phone:
Fax:
Email:
Dr. Iraj H.P. Mamaghani
UPSON II 260E
(701) 777 3563
(7
CH4. AXIAL LOAD
- Saint-Venants Principal
- Elastic deformation of an Axially Loaded Member
- Principal of Superposition
- Statically Indeterminate Axially Loaded Member
- The Force Method of Analysis for Axially Loaded Members
- Thermal Stress
- Stress C
CH3. MECHANICAL PROPERTIES OF MATERIALS
Relates the measured strain in a material to
its associated stress.
Compression Test
mechanical properties of bone
Lecture Objectives
Introduction
Relate stress to strain using experimental methods
Determine and