Analysis of T beam working stress method

## Analysis of T beam working stress method

Learn : Analysis of T beam working stress method : Neutral Axis is Within the Flange (n < Df), Neutral Axis Lies in the Web of the Beam (n >Df) ANALYSIS OF T BEAM Consider the section of a T-beam shown in Fig. 2.14 (a). The analysis of a T-beam comprises of following two cases : (i)        Neutral axis is within the flange. (ii)       Neutral axis is in the web. Case 1 : Neutral Axis is Within the Flange (n < Df)  Equivalent or Transformed Section The equivalent section of the T-beam in terms of concrete is shown in Fig. 2.13 (b). The concrete below the neutral axis is assumed to be cracked and the area of steel is replaced by an equivalent concrete area which is equal to m.Ast. The compression area is rectangular in shape as n < Df. Thus, this flanged beam can be analyzed exactly as…

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## T beams and terms used in T beams in Reinforced cement concrete

T beams and terms used in T beams : Breadth of Web (bw),Thickness of the Flange (Df),Overall Depth of the Beam (D),Effective Width of the Flange (bf),Effective width of the compression flange of the flanged beam in Reinforced cement concrete T beams and terms used in T beams in Reinforced cement concrete T BEAMS In RCC construction, slabs and beams are cast monolithic-ally. In such construction, a portion of the slab act integrally with the beam and bends along with the beam under the loads. This phenomenon is seen in the beams supported slab system as shown in Fig. 2.11. The portion of the slab which acts integrally with the beam to resist loads is called as Flange of the T-beam or L-beam. The portion of the beam below the flange is called as Web or Rib of the beam. The intermediate beams supporting the slab are called as T-beams and the…

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Steel beam theory is used to find the approximate value of the moment of resistance of a doubly reinforced beam specially when the area of compression steel is equal to or more than the area of the tensile steel. Steel beam theory moment of resistance of a doubly reinforced beam The moment of resistance of a doubly reinforced beam consists of : (i)        Moment of resistance of compression concrete and the corresponding tensile steel (Ast1) i.e., moment of resistance of balanced section (M1). (ii)       Moment of Resistance M' of the compression steel (Asc) and the additional tensile steel (Ast2). In the steel beam theory : (i)        Concrete is completely neglected. (ii)       The moment of resistance is taken equal to the amount of the couple of compressive and tensile steel. (iii)     The permissible stress in compressive steel is taken as equal to the permissible stress in tensile steel. $\therefore M _{r}=\sigma… Continue Reading Steel beam theory is used to find the MR of doubly reinforced beam ## Types of problem in doubly reinforced beams working stress method Types of problem in doubly reinforced beams working stress method: Determination of moment of resistance of the given section,Determination of actual stresses in concrete and steel,Design of the section. Types of problem in doubly reinforced beams working stress method Determination of moment of resistance of the given section. Determination of actual stresses in concrete and steel. Design of the section. Determination of Moment of Resistance Given : (i) Dimension of the beam section (b and d) (ii) Area of tensile steel Ast and area of compressive steel Asc (iii) Permissible stress in concrete {σcbc) and permissible stress in steel (σst) Procedure : Calculate \[m=\frac{280}{3\sigma_{cbc}}$ Calculate critical neutral axis (nc) $\frac{n_{c}}{d-n_{c}}=\frac{m.\sigma_{cbc}}{\sigma_{st}}$ Calculate actual neutral axis depth (nc) $\frac{b.n^{2}}{2}+(1.5m-1)A_{sc}(n-d_{c})=m.A_{st}(d-n)$ Compare n and nc (a)       If n>nc the section is under reinforced      (fully stressed) Maximum tensile stress developed in steel = σst Maximum compressive stress developed in concrete \[\sigma_{cbc}(where  \sigma'_{cbc})is  less …

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