Skip to main content

Stress-Strain Relation

Also Read

The relationship between the stress and strain that a particular material displays is known as that particular material's stress–strain curve. It is unique for each material and is found by recording the amount of deformation (strain) at distinct intervals of tensile or compressive loading (stress). These curves reveal many of the properties of a material (including data to establish the Modulus of Elasticity, E).
Stress strain relation representation image for isotropic material
Elastic Limit:
The maximum stress that can be applied to a metal without producing permanent deformation is known as Elastic Limit.
When stress is applied on a body its dimensions change, these changes can be reversed if the stress applied do not cross a certain limit.
This certain limit within which the material when unloaded will re-gain its original dimensions is known as Elastic Limit or Proportional limit.
Beyond the elastic limit the changes will be permanent and cannot be reversed without an external force. Brittle materials tend to break at or shortly past their elastic limit, while ductile materials deform at stress levels beyond their elastic limit.

Yield Point or Yield Stress:
It is the lowest stress in a material at which the material begins to exhibit plastic properties. Beyond this point an increase in strain occurs without an increase in stress which is called Yielding.

Ultimate Strength:
It is the maximum stress that a material can withstand while being stretched or pulled before necking.

Strain Hardening:
It is the strengthening of a metal by plastic deformation because of dislocation (irregular) movements within the crystal structure of the material. Any material with a reasonably high melting point such as metals and alloys can be strengthened by this method.

Strain Energy:
Whenever a body is strained, some amount of energy is absorbed in the body. The energy that is absorbed in the body due to straining effect is known as strain energy.

Resilience:
The total strain energy stored in the body is generally known as resilience.

Proof Resilience:
The maximum strain energy that can be stored in a material within elastic limit is known as proof resilience.

Modulus of Resilience:
It is the ratio of the proof resilience of the material to the unit volume.
Modulus of resilience = Proof resilience /Volume of the body.

Stress Strain Diagram for ductile materials
  Ductile materials, which includes structural steel and many alloys of other metals, are characterized by their ability to yield at normal temperatures.

Ductility: ductility is a solid material's ability to deform under tensile stress; this is often characterized by the material's ability to be stretched into a wire.

Malleability: Malleability is a material's ability to deform under compressive stress; this is often characterized by the material's ability to form a thin sheet by hammering or rolling. Both of these mechanical properties are aspects of plasticity, the extent to which a solid material can be plastically deformed without fracture.




Stress Strain Diagram for Brittle materials

Brittle materials, which includes cast iron, glass, Carbon fiber and stone, concrete are characterized by the fact that rupture occurs without any noticeable prior change in the rate of elongation.

These materials do not have a yield point, and do not strain-harden. Therefore, the ultimate strength and breaking strength are the same.


Rough estimation type of material by seeing it's failure

Back button

Comments

Recent posts

Isometric drawings for practice in AutoCAD

What is Isometric Drawing? Isometric drawing is a method of visually representing three-dimensional objects in two dimensions. It allows for a clear and comprehensive depiction of complex structures by keeping the scale consistent and eliminating distortion. Isometric drawings use a 30-degree angle from the horizontal in all three axes (X, Y, and Z), creating a pseudo-3D effect where the height, width, and depth are equally foreshortened. Creating Isometric Drawings in AutoCAD AutoCAD provides tools and settings that make creating isometric drawings straightforward. Here’s a step-by-step guide: Step 1: Set Up Isometric Snap/Grid 1. Enable Isometric Snap/Grid:    - Type `SNAP` in the command line and press `Enter`.    - Type `Style` and press `Enter`.    - Choose `Isometric` and press `Enter`. 2. Switch Between Isoplanes:    - Type `F5` or `CTRL+E` to toggle between the top, right, and left isoplanes. Step 2: Draw Isometric Circles and Arcs 1. Isom...

SINGLE ‘V’ BUTT JOINT

Experiment No.:                                                                                      Date: SINGLE ‘V’ BUTT JOINT Aim: To prepare a single ‘V’ Butt Joint as per dimensions given in the sketch. Material Required: Mild Steel plates: 80mm X 40mm X 6mm = 2 Nos Mild Steel electrode ¢ 3.15 mm Equipment required: A.C. Transformer with all welding accessories like Electrode holder, cables. Tool Required: Steel rule 300mm  Scriber 150mm Flat file 300mm Try square 200mm Flat Tong 450mm  Chipping hammer 200mm Ball peen hammer 750mm  Wire brush Welding screen Sequence of Operations: 1. Marking  2. Filing  3. Welding  4. Finishing Procedure: Take two Mild steel plates of size 80mm X 40mm X 6mm. Fix the wor...

Welding-LAP JOINT

Ex. No :                                                                              Date : LAP JOINT Aim To join the given two work pieces as a lap joint by arc welding. Material used Mild Steel plates. Tools required Welding power supply  Flat file Welding rod Chipping hammer Electrode holder Wire brush Gloves and apron Earthing clamps Shield and goggles Procedure The given workpieces are thoroughly cleaned, i.e. rust, scales are removed and the  edges are filed. The electrode is held in an electrode holder and ground clamp is clamped to the  welding plates and the power is supplied. The workpieces are positioned on the table to form a “Lab joint”. The tag weld is done on the both the ends of joining plates to avoid the m...

step by step procedure to draw hook 2D drawing using AutoCAD

1. Create one vertical line and two horizontal lines like shown below according to dimensions. 2.Draw the circles at intersecting points like shown below with given dimensions. 3. Draw TTR (tangent tangent Radius) circles like shown below with given radius values. 4. Trim extra elements using " TR " command the final image be shown like below. 5. Now draw another reference lines and circles using TTR(tangent tangent Radius) circle according to given dimensions. 6. Now Trim the extra elements by using "TR" command. 7. Now dimension the elements using DIM command.

Coordinate systems in AutoCAD

World Coordinate System (WCS), User Coordinate System (UCS). There is 4 AutoCAD coordinates system you should know. Absolute coordinate system , Relative Rectangular coordinate system, Relative Polar coordinate system and Interactive system(Direct coordinate system). Absolute Coordinate system: Absolute Coordinates uses the Cartesian System to specify a position in the X, Y, and (if needed) Z axes to locate a point from the 0-X, 0-Y, and 0-Z (0,0,0) point. To locate a point using the Absolute Coordinate system, type the X-value, Y-value, and, if needed, the Z-value separated by commas (with no spaces). Syn: Enter LINE command: L [Enter] Start line at point A: 0,0 [Enter] End first line at point B: 2,2 [Enter] End of second line at point C: 2,3 [Enter] Examples shown bellow. Relative Rectangular Coordinate system: After first points entered, your next points can be entered by specifying the next coordinate compare/relative f...

Welding VIVA question and answers

VIVA QUESTIONS : Q1: Define welding? Ans:  Welding is a fabrication process that joins two or more materials, typically metals or thermoplastics, by melting and fusing them together using heat or pressure. Q2: What is the typical thickness of MS Plate used in general welding workshop experiments? Ans:  The thickness of the MS (Mild Steel) plate used in general welding workshop experiments can vary depending on the specific requirements of the experiment. However, commonly used thicknesses range from 3 mm to 12 mm. Q3: What is the common job material used in welding experiments? Ans:  The common job material used in welding experiments is mild steel. It is widely available, affordable, and relatively easy to work with, making it suitable for various welding applications and practice. Q4: What is the main function of an electrode in welding? Ans:  The main function of an electrode in welding is to carry the electric current necessary for the welding process and to ...

SMITHY Shop Tools

Smithy (Forging) Shop Tools: Smith’s Forge or Hearth :  It is used for heating purpose during the forging operation .  The structure of hearth is made of cast iron or cast steel. It has four-legged support, an hearth known as bottom, a chimney along with hood. An opening is also provided on the rear side of the structure to supply the air into the furnace.The hearth is covered by fire bricks lining.For quenching purpose, a water tank is also provided in front side of forge. Air under pressure is supplied to the furnace by the blower. List of tools used in forging shop (1) Fullers (Pair is required) (2) Swages (Pair is required)  (3) Flatter (4) Set Hammer (5) Chisels (6) Punch and Drift  (7) Drifts Anvil:  The anvil forms a support for black smiths work when hammering. The body of the Anvil is made of mild steel with a tool steel face welded on the body but the beak or horn used for bending curve is not steel faced. The round hole in the Anvil called ...

Fluid mechanics VIVA QUESTIONS and ANSWERS

1. Define density? Ans: It is defined as the ratio of mass per unit volume of the fluid. 2. Define viscosity? Ans: It is defined as the property of fluid which offers resistance to the movement of fluid over another adjacent layer of the fluid. 3. Differentiate between real fluids and ideal fluids? Ans: A fluid, which is in-compressible and is having no viscosity, is known as ideal fluid while the fluid, which possesses viscosity, is known as real fluid. 4. What is a venturimeter? Ans: It is a device which is used for measuring the rate of flow of fluid flowing through pipe. 5. What is a notch? Ans: A notch is a device used for measuring the rate of flow of a fluid through a small channel or a tank. 6. Define buoyancy? Ans: When a body is immersed in a fluid, an upward force is exerted by the fluid on the body. This upward force is equal to the weight of the fluid displaced by the body. 7. Define meta-centre? Ans: It is defined as the point about which a body...

STRESS STRAIN CHARACTERISTICS OF MILD STEEL BAR BY UTM

Aim: To study the stress strain characteristics of mild steel by Universal Testing Machine Equipment: Universal testing machine meter rule, dividers and scale, Test specimen Theory: In tension test of ductile metals, the properties usually determined are yield strength, ultimate tensile strength, modulus of elasticity, percentage of elongation etc. For brittle materials only compressive strength is determined. The tension test is normally carried out in a Universal Testing Machine (UTM). The specimen can be in the form of a rod or a plate. The dimensions of standard specimen can be known from accepted specifications. The following properties can be determined from the stress strain curve of the material: Proportional limit: is that point on the stress strain curve at which the curve deviates from linearity, i.e. from the relation Stress = Young's modulus x strain $\sigma = E \varepsilon$ Elastic limit: is the point on the stress strain curve above which plastic de...

TIN SMITHY & Sheet metal

TIN SMITHY Introduction : Many engineering and house articles such as boxes, cans, funnels, ducts etc. are made from a flat sheet of metal. The process being known as tin smithy. For this the development of the article is first drawn on the sheet metal, then cut and folded, to form the required shape of the article. Allowance should be given in the drawing stage for folding and bending. This allowance depends upon the radius of the bend and thickness of the sheet metal. Sheet Metal Materials : A variety of metals are used in a sheet metal shop such as galvanized Iron, black, Iron, tin, Stainless Steel, copper and Aluminium. Hand Tools : The common hand tools used in sheet metal work are steel, try square, Wire gauge, Scriber, Ball peen hammer, Nylon Mallet, Snips Divider, Stakes, Cutting plier and Soldering Iron. Here, the details of tools that are being equipped by our workshop purpose only are presented. Wire Gauge: The thickness of sheet is referred in numbers known ...

Search This Blog