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VIKRAMAN - BUILDING STRUCTURES

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VIKRAMAN BUILDING STRUCTURES

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BUILDING STRUCTURES

UNIT I LIMIT STATE METHOD OF DESIGN AND COLLAPSE FLEXURE Historic - photo 1

UNIT I
LIMIT STATE METHOD OF DESIGN AND COLLAPSE FLEXURE

Historic perspective and definition of structure-System of load transferring from various structural elements of building to ground. Principles, Characteristics of loa d and strength in Limit State Method of design, partial safety factor, stress block parameters balance, under and over reinforced beams, analysis and design of singly and doubly reinforced beams, analysis and design of under reinforced flanged beams, clear cover for durability and fire resistance, reinforcement details for beams in flexure

REVIEW OF BASIC CONCEPTS

Concrete is a mixture of cement, aggregates, water and admixtures in an adequate proportion. It is a rock like material.

Properties of Fresh Concrete: Concrete should be such that it can be transported, placed, compacted and finished without harmful segregation. The mix should maintain its uniformity and not bleed excessively; these two are collectively called as workability .Bleeding is movement and appearance of water at the surface of freshly-placed concrete, due to settlement of heavier particles. Consistency is a measure of its wetness and fluidity .Measured by the slump test and Workability dependent on water content, fineness of cement, and surface area of aggregates.

Properties of Hardened Concrete: The important properties of concrete are

Compressive strength

Tensile strength

Shear strength

Bond strength

Density

Impermeability

Durability

Ductility

Among these properties, compressive strength of concrete is the most valuable and can be easily tested in laboratory. This is generally measured on concrete cubes or cylinders.

BUILDING STRUCTURES - image 2 Many of the properties of concrete can be inferred from compressive strength, using correlation that has been established.

Quality of concrete depends on the compressive strength.

Dependent on strength (compressive, tension and flexure), Modulus of elasticity, Durability, Creep and shrinkage

Picture 3 Concrete is classified under different grades depending upon its characteristic strength.

Picture 4 Characteristic strength is defined as the strength of material below which not more than 5 percent of the test results are expected to fall.

Strength of concrete varies for the same concrete mix, which give different compressive

strength in laboratory tests.

Variability in strength evidently depends on degree of quality control - photo 5 Variability in strength evidently depends on degree of quality control.

Variability in strength is measured in terms of either the Standard Deviation - photo 6 Variability in strength is measured in terms of either the Standard Deviation or the

Coefficient of Variation (COV), which is the ratio of standard deviation to mean strength(f cm ).

Due to significant variability in strength it is necessary to ensure that the - photo 7

Due to significant variability in strength, it is necessary to ensure that the designer has a reasonable assurance of a certain minimum strength of concrete.

Characteristic strength provides minimum guaranteed strength.

Different methods of design of RCC

Working Stress Method 2.Limit State Method 3.Ultimate Load Method

Probabilistic Method of Design

Working Stress Method:

Picture 8 The sections of the members of the structure are designed assuming straight linestress-strain relationships ensuring that at service loads the stresses in the steel and

concrete do not exceed the allowable working stresses.

Picture 9 The allowable stresses are taken as fixed proportions of the ultimate or yield strength of the materials.

The B.Ms and forces that act on statically indeterminate structures are

calculated assuming linear elastic behaviour.

Reinforced concrete sections behave in elastically at high loads Hence elastic - photo 10 Reinforced concrete sections behave in elastically at high loads. Hence elastic theory cannot give a reliable prediction of the ultimate strength of the members because inelastic strains are not taken into account.

For structures designed by the working stress method the exact load factor is - photo 11 For structures designed by the working stress method, the exact load factor is unknown

and varies from structures to structure.

Ultimate Load Method:

Picture 12 Sections of members of the structures are designed taking inelastic strains into accountto reach ultimate (maximum) strength when an ultimate load, equal to the sum of each service load multiplied by its respective load factor, is applied to the structure.

Picture 13 The beginning moments and forces that act as statically indeterminate structures at theultimate load are calculated assuming non linear elastic behaviour of the structure up to the ultimate load. i.e., redistribution of same actions are taking place due to nonlinear

relationship between actions and deformations.

BUILDING STRUCTURES - image 14BUILDING STRUCTURES - image 15 Ultimate strength design makes more efficient use of high strength reinforcement and smaller beam depths can be used without compression steel.

BUILDING STRUCTURES - image 16 Ultimate strength design allows the designer to assess the ductility of the structure in the post-elastic range.

the sections are designed based on ultimate strength design, there is a danger thatalthough the load factor is adequate. The cracking and the deflections at the service

loads may be excessive.

Picture 17Picture 18 Cracking may be excessive if the steel stresses are high or if the bars are badly distributed.

Deflections may be critical if the shallow sections, which are possible in USD, are used

and the stresses are high.To ensure a satisfactory design, the crack widths and deflections at service loads mustbe checked to make sure that this lies within reasonable limiting values, as per functional requirements of the structure. This is done by use of elastic theory.

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