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Spread Footing Analysis & Design Charts:

Concentric Load:

Eccentric Loads:

Footing Design:

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Concrete Beam Design Charts:

Beam Shear Design

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Concrete Column Design Charts:

Interaction Diagram Points:

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Concrete Column Interaction Diagrams

 

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Concrete Beam Design Notations

a

=

depth of equivalent rectangular stress block, in.

ab

=

depth of equivalent rectangular stress block at balanced condition, in.

amax

=

depth of equivalent rectangular stress block at maximum ratio of tension-reinforcement, in.

As

=

area of tension reinforcement, in2.

A’s

=

area of reinforcement at compression side, in2.

b

=

width of beam in rectangular beam section, in.

be

=

effective width of a flange in T-section beam, in.

bw

=

width of web for T-section beam, in.

c

=

distance from extreme compression fiber to neutral axis, in.

cb

=

distance from extreme compression fiber to neutral axis at balanced condition, in.

Cc

=

compression force in equivalent concrete block.

Cs

=

compression force in compression reinforcement.

d

=

distance from extreme compression fiber to centroid of tension-side reinforcement.

d’

=

distance from extreme compression fiber to centroid of compression-side reinforcement.

Es

=

modulus of elasticity of reinforcement, psi.

f’c

=

specified compressive strength of concrete.

fy

=

specified tensile strength of reinforcement.

Mn

=

nominal bending moment.

Mn bal

=

moment strength at balanced condition.

Mu

=

factored (ultimate) bending moment.

Ru

=

coefficient of resistance.

t

=

slab thickness in T-section beam, in.

b1

=

factor as defined by ACI 10.2.7.3.

ec

=

concrete strain at extreme compression fibers, set at 0.003.

e's

=

strain in compression-side reinforcement.

ey

=

yield strain of reinforcement.

r

=

ratio of tension reinforcement.

rb

=

ratio of tension reinforcement at balanced condition.

rf

=

ratio of reinforcement equivalent to compression force in slab of T-section beam.

rmax

=

maximum ratio of tension reinforcement permitted by ACI 10.3.3.

rmin

=

minimum ratio of tension reinforcement permitted by ACI10.5.1.

rreq’d

=

required ratio of tension reinforcement.

f

=

strength reduction factor.

 

 

 

 
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