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Elasticity in everyday life

Elasticity has a wide range of use in everyday life.


A classic example of elastic deformation, and indeed, of highly elastic behavior, is a rubber band: it can be deformed to a length many times its original size, but upon release, it returns to its original shape.



Metals, in fact, exhibit a number of interesting characteristics with regard to elasticity. With the notable exception of cast iron, metals tend to possess a high degree of ductility, or the ability to be deformed beyond their elastic limits without experiencing rupture. Up to a certain point, the ratio of tension to elongation for metals is high: in other words, a high amount of tension produces only a small amount of elongation. Beyond the elastic limit, however, the ratio is much lower: that is, a relatively small amount of tension produces a high degree of elongation.

Because of their ductility, metals are highly malleable, and, therefore, capable of experiencing HIGH FORCE.

Metals are crystalline materials, meaning that they are composed of solids called crystals. Particles of crystals are highly ordered, with a definite geometric arrangement repeated in all directions, rather like a honeycomb. (It should be noted, however, that the crystals are not necessarily as uniform in size as the "cells" of the honeycomb.) The atoms of a crystal are arranged in orderly rows, bound to one another by strongly attractive forces that act like microscopic springs.

Just as a spring tends to return to its original length, the highly attractive atoms in a steel bar, when it is stretched, tend to restore it to its original dimensions. Likewise, it takes a great deal of force to pull apart the atoms. When the metal is subjected to plastic deformation, the atoms move

Description: RUBBER BANDS, LIKE THE ONES SHOWN HERE FORMED INTO A BALL, ARE A CLASSIC EXAMPLE OF ELASTIC DEFORMATION. (Photograph by Klein/Corbis. Reproduced by permission.)yJBsRFNo3outQw1Bu-5YePUjmIOTGxWHejTFTYDRf6tfj8LOQ6p-n5ZASrE4sa7lPzYdpPdg-aHnkfO7y8MtA3nQeYUwKj-HGgt-h8PJEvagDBkW9n98-NjiuDfLDta7eRuLVOjAaQiWOn7sVnVA8Wpg_nAgQBdo3I8



The tension that a material can with stand is called its ultimate strength, and due to their ductile properties, most metals possess a high value of ultimate strength. It is possible, however, for a metal to break down due to repeated cycles of stress that are well below the level necessary to rupture it. This occurs, for instance, in metal machines such as automobile engines that experience a high frequency of stress cycles during operation.

The high ultimate strength of metals, both in tension and compression, makes them useful in a number of structural capacities. Steel has an ultimate compressive strength 25 times as great as concrete, and an ultimate tensile strength 250 times as great. For this reason, when concrete is poured for building bridges or other large structures, steel rods are inserted in the concrete. Called "rebar" (for "reinforced bars"), the steel rods have ridges along them in order to bond more firmly with the concrete as it dries. As a result, reinforced concrete has a much greater ability than plain concrete to with stand tension and compression.



The tensile strength in bone fibers comes from the protein collagen, while the compressive strength is largely due to the presence of inorganic (non-living) salt crystals. It may be hard to believe, but bone actually has an ultimate strength—both in tension and compression—greater than that of concrete!

The ultimate strength of most materials is rendered in factors of 10 8 N/m 2 —that is, 100,000,000 newtons (the metric unit of force) per square meter. For concrete under tensile stress, the ultimate strength is 0.02, whereas for bone, it is 1.3. Under compressive stress, the values are 0.2 and 1.7, respectively. In fact, the ultimate tensile strength of bone is close to that of cast iron (1.7), though the ultimate compressive strength of cast iron (5.5) is much higher than for bone.

Even with these figures, it may be hard to understand how bone can be stronger than concrete, but that is largely because the volume of concrete used in most situations is much greater than the volume of any bone in the body of a human being. By way of explanation, consider a piece of concrete no bigger than a typical bone: under relatively small amounts of stress, it would crumble.

Description: A HUMAN BONE HAS A GREATER "ULTIMATE STRENGTH" THAN THAT OF CONCRETE. (Ecoscene/Corbis. Reproduced by permission.)


Rubber is so elastic in behavior that in everyday life, the term "elastic" is most often used for objects containing rubber: the waistband on a pair of underwear, for instance. The long, thin molecules of rubber, which are arranged side-by-side, are called "polymers," and the super-elastic polymers in rubber are called "elastomers." The chemical bonds between the atoms in a polymer are flexible, and tend to rotate, producing kinks along the length of the molecule.

When a piece of rubber is subjected to tension, as, for instance, if one pulls a rubber band by the ends, the kinks and loops in the elastomers straighten. Once the stress is released, however, the elastomers immediately return to their original shape. The more "kinky" the polymers, the higher the elastic modulus, and hence, the more capable the item is of stretching and rebounding.

It is interesting to note that steel and rubber, materials that are obviously quite different, are both useful in part for the same reason: their high elastic modulus when subjected to tension, and their strength under stress. But a rubber band exhibits behaviors under high temperatures that are quite different from that of a metal: when heated, rubber contracts. It does so quite suddenly, in fact, suggesting that the added energy of the heat allows the bonds in the elastomers to begin rotating again, thus restoring the kinked shape of the molecules.


In an arched stone bridge, the stone is compressed and this makes the stone weak. Hence, steel arch is used instead, as steel arch is stronger than the stone arched bridge.

Description: curved bridges


Beams are the simplest and most common parts of large structures. When beams are

Description: elasticity

  • subjected to stress, the different parts are strained in different way as shown in the above diagram. For this purpose, the beam’s cross-section is I in shape, where there is advantage of lightness. The flanges are able to withstand the compression and tension force due to loading.

Hydraulic machines

Hydraulic machines are machinery and tools that use liquid fluid power to do simple work. Heavy equipment is a common example.In this type of machine, hydraulic fluid is transmitted throughout the machine to various hydraulic motors and hydraulic cylinders and which becomes pressurized according to the resistance present. The fluid is controlled directly or automatically by control valves and distributed through hoses and tubes. The popularity of hydraulic machinery is due to the very large amount of power that can be transferred through small tubes and flexible hoses, and the high power density and wide array of actuators that can make use of this power .Hydraulic machinery is operated by the use of hydraulics, where a liquid is the powering medium. From backyard log splitters to the huge machines you see on construction sites, hydraulic equipment is amazing in its strength and agility! On any construction site you see hydraulically operated machinery in the form of bulldozers, backhoes, shovels, loaders, fork lifts and cranes.

Hydraulics operates the control surfaces on any large airplane. You see hydraulics at car service centers lifting the cars so that mechanics can work underneath them, and many elevators are hydraulically operated using the same technique. Even the brakes in your car use hydraulics! The system is usually filled with a glycol-ether based brake fluid (other fluids may also be used).

Description: http://enginemechanics.tpub.com/14037/img/14037_67_2.jpg MJBsNEodqlw_ILHfD0hGzl5pIOeQEiiSK7HeL6ZH6TkIqR3ymVBI0bRrw6jU9IPF2Mb3Ws4S8yk8gEXpGQhFJt1lcBJOWYaZLkxyEDgdxO-sYs4-_EzcB-QfkVeBZbkcx4YNpEyxqXcTVTSiltVFkH1ny_2p8Pip0wkDescription: http://enginemechanics.tpub.com/14037/img/14037_67_3.jpgw6pmESPk1_wdurrKe8kllkmroZaaKb9ofFgUSNHiFTrRYCtSONyZmwPmozLqMRp93qiCvInEYaNUuvMyAI0nd9MSn43Rhjs-T1s3-CeZzoEeTmbLkck9MEkQKgE0RyRP4M0apb2bxc6B6IMJ5V1lDiFt_nQGj2VXGWA


Pressure-good effects and bad effects.

∙ Example of a common knife. If we try to cut a fruit with the flat side it obviously won’t cut. But if we take the thin side, it will cut smoothly. The reason is that the flat side has a greater surface area (less pressure) and so it does not cut the fruit. When we take the thin side, the surface area is reduced and so it cuts the fruit easily and quickly. This is one example of a practical application of pressure.

Description: http://gothamist.com/attachments/food_laren/shunknife.jpg

∙Trucks have pairs of wheels increasing surface area so that they do not apply more pressure on the road.

∙High heeled shoes which are pointed hurts us more.
Description: http://t1.gstatic.com/images?q=tbn:ANd9GcRT_Qxzbgvq4GuweSuYJyOLYb3pd16X2IZw2umrSX0-2dc5RU34Description: http://t3.gstatic.com/images?q=tbn:ANd9GcSJj61EaijTC38FPTrW7F6mOSgqp4GHhiJVGGcQmojgTwpMSQpT

∙Nail edge made pointed for greater thrust.

∙In hydraulic lift the side with lesser area give more pressure. This is due to the equation P=F/A, ie.as area decreases Pressure increases

∙If u open a blown balloon then then the air inside it comes out with a great pressure while the area of the blown balloon decreases.

∙When we use bags with thin strips. It hurts us more pressure acts on less area.

Description: http://t3.gstatic.com/images?q=tbn:ANd9GcQVllS3_egqLjdw_BNz4XAJd7nJ5ty9sCQZ08zbkhZT1BvtoMPtDescription: http://t0.gstatic.com/images?q=tbn:ANd9GcQ7eLhwcX2h7ktz1THn-kkLVQ6tc4FhQF9mrBBJ-rmVrw0cawzCC1gXWgYunA

∙Water is kept in container and piston is used to put the pressure! Here surface (volume) decreases and pressure increases!

∙ An object that falls from a hight having a good flat base can land smoothly!

∙Flat surface for writing board to decrease the pressure over the thighs.

∙Karate praticer’s fall flatly to avoid heavy bruises.

∙ Water from a pipe flows comparatively with less forse when it has a greater area!

∙Object which is flat may not hurt our body even in contact with a good comparative force(exceptional like a broader meter scale)

What are Dimensions?

What are Dimensions?

Dimensions of a physical quantity are the powers to which the fundamental units are raised to obtain one unit of that quantity.

Dimensional Analysis

Dimensional analysis is the practice of checking relations between physical quantities by identifying the dimensions of the physical quantities. These dimensions are independent of the numerical multiples and constants and all the quantities in the world can be expressed as a function of the fundamental dimensions.

Dimensional Formula

The expression showing the powers to which the fundamental units are to be raised to obtain one unit of a derived quantity is called the dimensional formula of that quantity.

If Q is the unit of a derived quantity represented by Q = MaLbTc, then MaLbTc is called dimensional formula and the exponents a, b and, c are called the dimensions.

What are Dimensional Constants?

The physical quantities which have dimensions and have a fixed value are called dimensional constants. e.g.: Gravitational constant (G), Planck’s constant (h), Universal gas constant (R), Velocity of light in a vacuum (C), etc.

What are the Dimensionless quantities?

Dimensionless quantities are those which do not have dimensions but have a fixed value.

  • Dimensionless quantities without units: Pure numbers, π, e, sin θ, cos θ, tan θ etc.

Dimensionless quantities with units: Angular displacement – radian, Joul

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