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FINITE ELEMENT ANALYSIS OF
PRESTRESSED CONCRETE
BY
ANUPAM DASGUPTA
MSIT CIVIL 4TH YEAR
ROLL NO. 24
UNDER THE GUIDENCE OF
SRI. SANJOY DAS NEOGI
INTRODUCTION:
The profession of structural engineering is the oldest of all the branches of
engineering, one with great reputation and responsibility. At the beginning
of civilization the design of houses, temples and bridges were made based
in pure empirical and experimental knowledge. But with the advent of
time new technologies came up which help

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FINITE ELEMENT ANALYSIS OFPRESTRESSED CONCRETE
BY
ANUPAM DASGUPTA
MSIT CIVIL 4
TH
YEAR ROLL NO. 24UNDER THE GUIDENCE OF
SRI. SANJOY DAS NEOGI
INTRODUCTION:
The profession of structural engineering is the oldest of all the branches of engineering, one with great reputation and responsibility. At the beginningof civilization the design of houses, temples and bridges were made basedin pure empirical and experimental knowledge. But with the advent of time new technologies came up which help mankind in the growth of civilization and made lives better. One such technological was the development of nite element method or analysis. !t was initially only useful in selected engineering branches but now used in each and every elds. The analysis of prestressed concrete is carried out in this pro ect using the nite element method.
PRESTRESSED CONCRETE:
#restressed concrete is a method for overcoming the concrete$s natural weakness in tension. !t can be used to produce beams, %oors or bridges with a
longer span than is practical with ordinary reinforced concrete. #restressing
tendons &generally of high tensile steel cable or rods' are used to provide a
clamping load which produces a compressive stress that o(sets the tensile stress
that the concrete compression member would otherwise experience due to a bending load. Traditional reinforced concrete is based on the use of steel
reinforcement bars, rebar, inside poured concrete.#restressing can be
accomplished in three ways) pre*tensioned concrete, and bonded or unbonded post*tensioned concrete.
PRESTRESSED CONCRETE DIAGRAM
#re*tensioned concrete is cast around already tensioned tendons. This method produces a good bond between the tendon and concrete, which both protects thetendon from corrosion and allows for direct transfer of tension. The cured concrete adheres and bonds to the bars and when the tension is released it is transferred to the concrete as compression by static friction. +owever, it reuiresstout anchoring points between which the tendon is to be stretched and the tendons are usually in a straight line. Thus, most pretensioned concrete elements are prefabricated in a factory and must be transported to the construction site, which limits their size. #re*tensioned elements may be balcony elements, lintels, %oor slabs, beams or foundation piles.
FEM (FINITE ELEMENT METHOD):
The nite element method &-/' &sometimes referred to as nite element analysis &-A'' is a numerical techniue for nding approximate solutions of partial di(erential euations �' as well as of integral euations. The
solution approach is based either on eliminating the di(erential euation completely &steady state problems', or rendering the #0 into an approximating system of ordinary di(erential euations, which are then numerically integrated using standard techniues such as uler$s method, 1unge*2utta, etc.!n solving partial di(erential euations, the primary challenge is to create an euation that approximates the euation to be studied, but is numerically stable, meaning that errors in the input data and intermediatecalculations do not accumulate and cause the resulting output to be meaningless. There are many ways of doing this, all with advantages and disadvantages. The -inite lement /ethod is a good choice for solving partial di(erential euations over complicated domains. The basic concept is that a body or structure may be divided into smaller elements of nite dimensions called as 3-inite lements4. The srcinal body or structure is then considered as an assemblage of these elements connected at a nite number of oints called as 35odes4 or 35odal #oints4. The properties of the elements are formulated and combined top obtain the properties of the entire body. The euations of euilibrium for the entire structure or body are then obtained by combining the euilibrium euation of each element such that the continuity is ensured at each node. The necessary boundary conditions are then imposed and the euations of euilibrium are the solved to obtain the reuired variables such as 6tress, 6train, Temperature0istribution or 7elocity -low depending on the application. Thus instead of solving the problem for the entire structure or body in one operation, in the method attention is mainly devoted to the formulation of properties of the constituent elements. A common procedure is adopted for combining the elements, solution of euations and evaluation of the
reuired variables in all elds. Thus the modular structure of the method is well exploited in various disciplines of ngineering.
DIAGRAMATIC WORKING OF FEM THROUGHILLUSTRATIVE EXAMPLEAPPLICATIONS OF FINITE ELEMENT METHOD:
8ith the advent of 9omputer Aided 0esign &9A0', the -inite lement /ethod has been nding wide variety of applications. 6ome typical applications of -/ are listed below.#lane stress problems :. 6tress %ow around reinforced opening. ;. 0am sub ected to external pressure.Axi*symmetric problems) :. Application related to shell. ;. Belleville spring.Applications related to %uid %ow) :. Aircraft wing ;. Aerodynamics of a vehicle. Applications related to heat transfer) :. ngine piston. ;. -ins.
Advanta! a#!:
*non linear problems are easily solved. *easy formulations allow many di(erent types of problems to be solved.

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