DESIGN OF REINFORCED CONCRETE SLAB Flexural …DESIGN OF REINFORCED CONCRETE SLAB Flexural...

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DESIGN OF REINFORCED CONCRETE SLAB Flexural Reinforcement (ACI 318-95) *adapted from CSI SAFE(TM) Design Manual Data: Thickness, in 6.0 h Depth of tensile reinf., in 1 d c Effective depth, in 5 d Depth of comp. reinf., in 1 d' Concrete strength, ksi 4.0 f' c Yield strength of steel, ksi 60.0 f y Elasticity modulus of steel, ksi 29000 E s Strength reduction factor, 0.90 φ b Strip width, in 12.0 b Minimun steel reinfocement, f y psi 60000 h b 0.0018 A s;min 2 in 0.1296 A s;min Concrete stress block factors, psi 1000 psi 4000 f' c 0.05 0.85 β 1;calc 0.85 β 1;calc if else if else β 1;calc 0.85 0.85 β 1;calc 0.65 0.65 β 1;calc β 1 0.85 β 1 Neutral axis depth at balanced, d f y psi 87000 psi 87000 c b in 2.959 c b c b β 1 0.75 a max in 1.886 a max Bending moment, in kip 317.952 M u 22 May 2012 17:58:30 - DesignReinforcedConcreteSlabACI318.sm 1 / 2

Transcript of DESIGN OF REINFORCED CONCRETE SLAB Flexural …DESIGN OF REINFORCED CONCRETE SLAB Flexural...

Page 1: DESIGN OF REINFORCED CONCRETE SLAB Flexural …DESIGN OF REINFORCED CONCRETE SLAB Flexural Reinforcement (ACI 318-95) *adapted from CSI SAFE(TM) Design Manual Data: Thickness, h …smath.info/wiki/...File=DesignReinforcedConcreteSlabACI318.pdf ·

DESIGN OF REINFORCED CONCRETE SLABFlexural Reinforcement (ACI 318-95)

*adapted from CSI SAFE(TM) Design Manual

Data:

Thickness,in6.0h

Depth of tensile reinf.,in1d

c

Effective depth,in5d

Depth of comp. reinf.,in1d'

Concrete strength,ksi4.0f'

c

Yield strength of steel,ksi60.0f

y

Elasticity modulus of steel,ksi29000E

s

Strength reduction factor,0.90φ

b

Strip width,in12.0b

Minimun steel reinfocement,

fy

psi60000hb0.0018A

s;min2

in0.1296As;min

Concrete stress block factors,

psi1000

psi4000f'c

0.050.85β1;calc 0.85β

1;calc

if

elseif

elseβ1;calc

0.85

0.85β1;calc

0.65

0.65β1;calc

β1

0.85β1

Neutral axis depth at balanced,d

fy

psi87000psi87000

cb in2.959c

b

cb

β1

0.75amax

in1.886amax

Bending moment,inkip317.952M

u

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Page 2: DESIGN OF REINFORCED CONCRETE SLAB Flexural …DESIGN OF REINFORCED CONCRETE SLAB Flexural Reinforcement (ACI 318-95) *adapted from CSI SAFE(TM) Design Manual Data: Thickness, h …smath.info/wiki/...File=DesignReinforcedConcreteSlabACI318.pdf ·

Depth of the compression block,

bφb

f'c

0.85

Mu

22

dda in2.2283a

"CASE(1) a > a_max, Doubly Reinforcemenet"msg

CASE(2) a > a_maxCompressive force developed in concrete alone,

amax

bf'c

0.85C kip76.968C

Moment resisted by concrete compression and tensile steel,

φb2

amax

dCMuc inkip281.018M

uc

Muc

Mu

Mus

inkip36.934Mus

Stress in the compression steel,

β1

amax

d'β1

amax

Es

0.003f's;calc ksi47.8f'

s;calc

if

elsefy

f's;calc

fy

f's;calc

f's

ksi47.8f's

Area of required compression steel,

φb2

amax

dfy

Muc

As1 2

in1.2828As1

Tensile steel for balancing the compression in steel,

φb

d'dfy

Mus

As2 2

in0.171As2

Total area of tensile steel,As2

As1

As

2in1.4538A

s

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