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Sunday, December 29, 2013

Thumb Rules on Civil Engineering: Dimensions of structural members


Beams
A convenient formula for approximating the dimensions of a concrete beam is the following
based on the cross-sectional dimensions 'b' and 'd':
where: 'b' = beam width (inches); 'd' = beam depth (inches); Mu = Max moment in beam (ft-kips)

The required area of tension steel reinforcing can be approximated by the following formula:
where: As = area of steel (square inches); Mu = max moment in beam (ft-kips); 'd' = beam depth (inches)

Under normal building loading conditions, the minimum depth of beams using Grade 60 reinforcing should be the following:
§  Simply Supported: D = L/16
§  One End Continuous: D = L/18
§  Both Ends Continuous: D = L/20
§  Cantilever: D = L/8
Moment of Inertia


The moment of inertia of a 'T' or 'L' shaped beam can be approximated by the following:
§  For an 'L' beam 
§  For an 'T' beam 
where  = the moment of interia of the rectangular web
Columns
a. Minimum dimension is 8”
b. Cross sectional area in square inches = load (in psi)/1000
Slabs
One way spans:
(assumed to support structurally in one direction, or having joist ribs in one direction)
Slabs without joist ribs
Under normal building loading conditions, the thickness of solid one-way slabs with Grade 60 reinforcing steel can be :
§  Simply Supported: Thk = L/20
§  One End Continuous: Thk = L/24
§  Both Ends Continuous: Thk = L/28
§  Cantilever: Thk = L/10
Joist slabs
Here are some guidelines for joist slabs.
§  good for spans from 12’ to 30’
§  good for oblong bays
§  overall depth of slab plus joist ribs = span/20 + 2 ½”
§  common spacing of 20” and 30” between ribs
§  joists commonly have a width of 5” to 9”

Two-way slabs:
Without drop panels
The minimum thickness of two-way slabs can be based on the following:
§  Exterior panels without edge beams: Thk = Ln/30
Rules of thumb for concrete structural floor layout
Two-way spans (assumed to support structurally in two directions or having perpendicular joist ribs).
Slabs without joist ribs
Here are some guidelines for two-way slabs.
§  Bays of two-way slabs (without joist ribs) may be up to 24’x24’ (i.e. 576 sq. ft.)
§  Slab thickness of the slab = span/30

Joist slabs
Here are some guidelines for two-way joist slabs (Waffle Slabs).
§  Waffle slabs are used for 24’ to 50’ in the large dimension (maximum of 2500 sq. ft.)
§  Overall thickness of slab and joist rib = span/30 + 2 ½”

Concrete Walls
§  The thickness of bearing walls should be at least 1/25 the supported height or length of the wall.
§  The thickness of non bearing walls should be at least 1/30 of the least distance between lateral supporting members.
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