A reinforced concrete one slab is built integrally surrounding with its supports (beam size is 200mm x 400mm) and consist of three spans, each with a clear span of 3.6m (exterior end), 3.4m (interior span) and 3.6m (exterior end) respectively. Design the Middle Span. LOADS:Ceiling = 0.35 kPaFlr Fin = 1.2 kPaElec = 0.15 kPaSelfweight not yet includedLive Load = 2.30 kPaPARAMETERS:Yconc = 23.6 kN/m3fc = 21 MPafy = 420 MPa; fytemp = 276 MPaMain bars dia = 12mmTemp bars, dia = 10mm Determine the Maximum Negative Moment at the Middle Span (kN- m) NOTE:Don't Consider the Live Load Pattern Loadings Table 406.5.2 Approximate Moments for Non-Prestressed Continuous Beams and One-Way SlabsMomentPositiveNegative[¹]LocationEnd spanInteriorspansInterior faceof exteriorsupportExterior faceof firstinteriorsupportFace ofOthersupportsFace of allsupportssatisfying(a) or (b)ConditionDiscontinuous endintegral withsupportDiscontinuous endunrestrainedAllMember builtIntegrally withsupportingspandrel beamMember builtintegrally withsupporting columnTwo spansMore than twospansAlla) Slabs with spansnot exceeding 3m.b) Beams whereratio of sum ofcolumn stiffnessesto beam stiffnessexceeds 8 at eachend of spanM₁Wulz/14wl²/11Wul/16W₂l²/24Wul/16W₂l/9W₂l/10W₁l/11Wul²/12[¹]To calculate negative moments, en shall be the average ofthe adjacent clear span lengths.

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Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A reinforced concrete one slab is built integrally surrounding with its supports (beam size is 200mm x 400mm) and consist of three spans, each with a clear span of 3.6m (exterior end), 3.4m (interior span) and 3.6m (exterior end) respectively. Design the Middle Span. LOADS: Ceiling = 0.35 kPa Flr Fin = 1.2 kPa Elec = 0.15 kPa Selfweight not yet included Live Load = 2.30 kPa PARAMETERS: Yconc = 23.6 kN/m3 fc = 21 MPa fy = 420 MPa; fytemp = 276 MPa Main bars dia = 12mm Temp bars, dia = 10mm Determine the Maximum Negative Moment at the Middle Span (kN- m) NOTE: Don't Consider the Live Load Pattern Loadings

Table 406.5.2 Approximate Moments for Non-
Prestressed Continuous Beams and One-Way Slabs
Moment
Positive
Negative[¹]
Location
End span
Interior
spans
Interior face
of exterior
support
Exterior face
of first
interior
support
Face of
Other
supports
Face of all
supports
satisfying
(a) or (b)
Condition
Discontinuous end
integral with
support
Discontinuous end
unrestrained
All
Member built
Integrally with
supporting
spandrel beam
Member built
integrally with
supporting column
Two spans
More than two
spans
All
a) Slabs with spans
not exceeding 3m.
b) Beams where
ratio of sum of
column stiffnesses
to beam stiffness
exceeds 8 at each
end of span
M₁
Wulz/14
wl²/11
Wul/16
W₂l²/24
Wul/16
W₂l/9
W₂l/10
W₁l/11
Wul²/12
[¹]
To calculate negative moments, en shall be the average of
the adjacent clear span lengths.

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