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Design and drawing of RC Structures CV61. Dr. G.S.Suresh Civil Engineering Department The National Institute of Engineering Mysore-570 008 Mob: 9342188467. Email: gss_nie@yahoo.com. Portal frames. Learning out Come. Introduction Procedure for design of Portal frames Design example.
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Design and drawing of RC StructuresCV61 Dr. G.S.Suresh Civil Engineering Department The National Institute of Engineering Mysore-570 008 Mob: 9342188467 Email: gss_nie@yahoo.com
Learning out Come • Introduction • Procedure for design of Portal frames • Design example
Books for Reference • N.Krishna Raju Advanced Reinforced concrete Design • Jaikrishna and O.P.JainPlain and reinforced concrete Vol2 • B.C.Punmia Reinforced Concrete Structures Vol2
A portal frame consists of vertical member called Columns and top member which may be horizontal, curved or pitched. • Rigidly connected • They are used in the construction of large sheds, bridges and viaducts. • The base of portal frame may be hinged or fixed. • INTRODUCTION
The portal frames have high stability against lateral forces • A portal frame is a statically indeterminate structure. • In the case of buildings, the portal frames are generally spaced at intervals of 3 to 4m • Reinforced concrete slab cast monolithically between the frames • INTRODUCTION
Frames used for ware house sheds and workshop structures are provided with sloping of purlins and asbestos sheet roofing between the portal frames. • The base of the columns of the portal frames are either fixed or hinged. • Analysis of frames can be done by any standard methods • Columns are designed for axial force and bending moment, whereas beam is designed for bending moment and shear force • INTRODUCTION
Step1: Design of slabs • Step2: Preliminary design of beams and columns • Step3: Analysis • Step4: Design of beams • Step5: Design of Columns • Step6: Design of footings • INTRODUCTION
The roof of a 8m wide hall is supported on a portal frame spaced at 4m intervals. The height of the portal frame is 4m. The continuous slab is 120 mm thick. Live load on roof = 1.5 kN/m2, SBC of soil = 150 kN/m2. The columns are connected with a plinth beam and the base of the column may be assumed as fixed. Design the slab, column, beam members and suitable footing for the columns of the portal frame. Adopt M20 grade concrete and Fe 415 steel. Also prepare the detailed structural drawing. • Problem 1
Data given: • Spacing of frames = 4m • Span of portal frame = 10m • Height of columns = 4m • Live load on roof = 1.5 kN/m2 • Thickness of slab = 120mm • Concrete: M20 grade • Steel: Fe 415
Step1:Design of slab • Self weight of slab = 0.12 x 24 = 2.88 kN/m2 • Weight of roof finish = 0.50 kN/m2 (assumed) • Ceiling finish = 0.25 kN/m2 (assumed) • Total dead load wd = 3.63 kN/m2 • Live load wL = 1.50 kN/m2(Given in the data) • Maximum service load moment at interior support • Mu=1.5 x 8.5 = 12.75 kN-m/m
Step1:Design of slab (Contd) • Mulim=Qlimbd2 (Qlim=2.76) • = 2.76 x 1000 x 1002 / 1 x 106 = 27.6 kN-m > 12.75 kN-m • From table 2 of SP16 pt=0.384; Ast=(0.384 x 1000 x 100)/100= 384 mm2 • Spacing of 10 mm dia bars = (78.54 x 1000)/384= 204.5 mm c/c • Provide #10 @ 200 c/c
Step1:Design of slab (Contd) • Area of distribution steel Adist=0.12 x 1000 x 120 / 100 = 144 mm2 • Spacing of 8 mm dia bars = (50.26 x 1000)/144= 349 mm c/c • Provide #8 @ 340 c/c. • Main and dist. reinforcement in the slab is shown in Fig.6.3
Step2: Preliminary design of beams and columns • Beam: • Effective span = 8m • Effective depth based on deflection criteria = 8000/12 = 666.67mm • Assume over all depth as 700 mm with effective depth = 650mm, breadth b = 400mm Column: • Let column section be equal to 400 mm x 600 mm.
Step3: Analysis • Load on frame • i) Load from slab = (3.63+1.5) x 4 =20.52 kN/m • ii) Self weight of rib of beam • = 0.4x0.58x24 = 5.56 kN/m • Total 27.00 kN/m • The portal frame subjected to the udl considered for analysis is shown in Fig. 6.4
Step3:Analysis(Contd) • The moments in the portal frame fixed at the base and loaded as shown in Fig. 6.4 are analysed by moment distribution • IAB = 400 x 6003/12 = 72 x 108 mm4, • IBC= 400 x 7003/12 = 114.33 x 108 mm4 • Stiffness Factor: • KBA= IAB / LAB = 18 x 105 • KBC= IBC / LBC = 14.3 x 105
Step3:Analysis(Contd) • Distribution Factors: • Fixed End Moments: • MFAB= MFBA= MFCD= MFDC 0 • MFBC= - =-144 kN-m • and MFCB= =144 kN-m
Step3:Analysis(Contd) Design moments: • Service load end moments: MB=102 kN-m, MA=51 kN-m • Design end moments MuB=1.5 x 102 = 153 kN-m, MuA=1.5 x 51=76.5 kN-m • Service load mid span moment in beam = 27x82/8 – 102 =114 kN-m • Design mid span moment Mu+ =1.5 x 114 =171 kN-m • Maximum Working shear force (at B or C) in beam = 0.5 x 27 x 8 = 108kN • Design shear force Vu = 1.5 x 108 = 162 kN
Step4:Design of beams: • The beam of an intermediate portal frame is designed. The mid span section of this beam is designed as a T-beam and the beam section at the ends are designed as rectangular section. Design of T-section for Mid Span : • Design moment Mu=171 kN-m • Flange width bf= • Here Lo=0.7 x L = 0.7 x 8 =5.6m • bf= 5.6/6+0.4+6x0.12=2m
Step4:Design of T-beam: • bf/bw=5 and Df /d =0.2 Referring to table 58 of SP16, the moment resistance factor is given by KT=0.459, • Mulim=KT bwd2 fck = 0.459 x 400 x 6002 x 20/1x106 = 1321.92 kN-m > Mu Safe • The reinforcement is computed using table 2 of SP16
Step4:Design of T- beam: • Mu/bd2 = 171 x 106/(400x6002)1.2 for this pt=0.359 • Ast=0.359 x 400x600/100 = 861.6 mm2 • No of 20 mm dia bar = 861.6/(x202/4) =2.74 • Hence 3 Nos. of #20 at bottom in the mid span
Step4:Design of Rectangular beam: • Design moment MuB=153 kN-m • MuB/bd2= 153x106/400x6002 1.1 From table 2 of SP16 pt=0.327 • Ast=0.327 x 400 x 600 / 100 = 784.8 • No of 20 mm dia bar = 784.8/(x202/4) =2.5 • Hence 3 Nos. of #20 at the top near the ends for a distance of o.25 L = 2m from face of the column as shown in Fig 6.6
Step4:Check for Shear: • Nominal shear stress = pt=100x 942/(400x600)=0.390.4 • Permissible stress for pt=0.4 from table 19 c=0.432 < v • Hence shear reinforcement is required to be designed • Strength of concrete Vuc =0.432 x 400 x 600/1000 = 103 kN • Shear to be carried by steel Vus=162-103 = 59 kN
Step4:Check for Shear: • Spacing 2 legged 8 mm dia stirrup sv= • Two legged #8 stirrups are provided at 300 mm c/c (equal to maximum spacing)
GOOD DAY Dr. G.S.Suresh Civil Engineering Department The National Institute of Engineering Mysore-570 008 Mob: 9342188467 Email: gss_nie@yahoo.com