supportcivil: Strength of material
Showing posts with label Strength of material. Show all posts
Showing posts with label Strength of material. Show all posts

Centre of gravity and moment of Inertia hand written notes

Content of pdf 
Centroid
Moment of Inertia
Product of Inertia
Parallel axis Theorem
Perpendicular axis theorem
Properties of plan areas
Principal axes and principal moments of inertia
Rotation of axes
The centroid, or center of gravity, of any object is the point within that object from which the force of gravity appears to act. • An object will remain at rest if it is balanced on any point along a vertical line passing through its center of gravity.
Moment of Inertia - It is a measure of an object’s resistance to changes to its rotation. Also defined as the capacity of a cross-section to resist bending. . It must be specified with respect to a chosen axis of rotation. • It is usually quantified in m4 or kgm2.


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Shear force and Bending moment

Content

Types of loading 
Types of support
Types of beam
shear force - (sign convention for shear force )
Bending moment - ( sign convention for bending moment )
Important points about Shear force and Bending moment 
Curve tracing for Shear force and Bending moment 
Shear force and Bending moment diagrams  for beam 
Shear force and Bending moment  diagrams for frame
Effects of concentrated moment on Shear force and Bending moment diagram


Shear force - It is that force which is trying to shear off a beam at a particular section.
Bending moment- It is a reaction offered when a beam (element) is subjected to a force at a distance or a moment causing bending.
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Strength of Materials pdf

Content:
Chapter 1: Stress and Strain
Chapter - 2 : Principal Stress and Strain
Chapter - 3 : Moment of Inertia and Centroid
Chapter - 4 : Bending Moment and Shear Force Diagram
Chapter - 5 : Deflection of Beam
Chapter - 6 : Bending Stress in Beam
Chapter - 7 : Shear Stress in Beam
Chapter - 8 : Fixed and Continuous Beam
Chapter - 9 : Torsion
Chapter-10 : Thin Cylinder
Chapter-11 : Thick Cylinder
Chapter-12 : Spring
Chapter-13 : Theories of Column
Chapter-14 : Strain Energy Method
Chapter-15 : Theories of Failure
Chapter-16 : Riveted and Welded Joint
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strength of materials handwritten notes

Chapter :
1 Properties of materials                                     (strength of materials handwritten notes )
2 Simple stress -strain and elastic constants     (strength of materials handwritten notes )
3 shear force and Bending moment                   (strength of materials handwritten notes )
4 Principal stress                                                  (strength of materials handwritten notes )
5 Theory of failure                                               (strength of materials handwritten notes )
6 Deflection of beam                                            (strength of materials handwritten notes )
7 Torsion of shaft                                                 (strength of materials handwritten notes )
8 Pressure vessels                                                 (strength of materials handwritten notes )
9 Column theory                                                  (strength of materials handwritten notes )
10 Springs                                                             (strength of materials handwritten notes )
11 Principal axis and principal MOI                 (strength of materials handwritten notes )
12 Shear centre                                                     (strength of materials handwritten notes )
pdf of som ,handwritten notes of strength of material

Strength of material is the branch of science which deals with the influence of the loading on the deformable elastic body based on the HOOK'S law.

Difference between stress and strength 
By applying load if stress is developed less then strength of material ,material will be safe .
Stress can be varies in material which depend on load applied and area of cross section.


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Proof stress

Some ductile material like aluminum silver copper not show yield point for such material 
off set method use for calculating design stress .It is called proof stress .
 Proof stress is not the property of material it is only use for calculation purpose.



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DIFFERENCE BETWEEN DUCTILITY AND BRITTLENESS OF MATERIAL

DUCTILIY
Ductility is the measure of the extent to which a material will deform before fracture .
More ductile material can easily drawn into thin wires .

It is ability to deform under tensile load.(malleability is the property to deform under compressive load into thin sheets).

Ductile material is weakest in shear so design engineer mainly concern shear failure in ductile material .example of ductile material is Al ,Mild Steel , Cu, Silver ,gold etc.

Lead is highly malleable but not highly ductile.

Platinum is most ductile and gold is most malleable  material.
source google

BRITTLENESS
Brittle material fails suddenly without any indication of yielding.
Brittle material are strong in compression moderate in shear and weak in tension.
In concrete tensile tensile strength is 8 to 14% of its compressive strength .
Tungsten is brittle at room temperature and ductile at elevated temperature.

NOTE: By applying large pressure (hydrostatic  compression )
brittle material transition into ductile material .
By decreasing the temperature transition of ductile material  into brittle material.


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