Civil Eegineering formula

Civil formula 


Concrete Volume Formula

Concrete Volume = [( 22/7 )r2 * depth ) / 27 ] * Quantity

Concrete Footing Formula
Footing Pours = (Diameter * (Width / 12)) * (Depth / 12) / 27);


Colebrook White Equation Formula



S - Hydraulic gradient,
v - kinematic viscosity of water,
D - Internal diameter,
Ks - Roughness coefficient,
g = 9.81 m/s2,
A - Area of section.

Concrete Slab Maximum Wall Load Formula

P = 9.93 ( fc^0.5 )( te^2 ) ( ( k / (19000 ( fc^0.5 )( te^3 ) ) ) ^ 0.25

Fc = Concrete compressive strength,
k = Modulus of subgrade reaction,
te = Slab thickness.

Cantilever Beam Stiffness Formula


Stiffness (k) = (3 × E × I ) / l3 
Where,
E - Youngs Modulus
I - Area Moment of Inertia
l – Length


Concrete Slab Maximum Length Formula

L = ( 0.00047hr (fsS) ^2 ) ^ ( 1/3 )
Where,
L = Slab Length,
hr = Thickness of reinforced slab,
fs = Yield strength of steel reinforcement,
S = Steel reinforcing ratio

Concrete Volume Formula

Concrete Volume = [( 22/7 )r2 * depth ) / 27 ] * Quantity

Feet and Inches Arithmetic Formula

Multiplication = ( (Value1-ft X 12) in) X ( (Value2-ft X 12) in) Addition = ( (Value1-ft X 12) in) ( (Value2-ft X 12) in) Subtraction = ( (Value1-ft X 12) in) - ( (Value2-ft X 12) in) Division = ( (Value1-ft X 12) in) / ( (Value2-ft X 12) in)
Where,
ft - Feet
in – Inches

Flexible Pavement Structural Number Formula


L=a1ta b1tb c1tsb d1tad 
Where,
L=Structural Number of Flexible pavement,
a1=Layer coefficient for asphalt ,
ta=Asphalt layer thickness,
b1=Layer coefficient of base,
tb=Base layer thickness ,
c1=Layer coefficient of sub-base,
tsb=Sub-base layer thickness,
d1=Layer coefficient of additional layer,
tad=Thickness of additional layer


Vertical Curve Length Formula

Lm = [ S² × (g2 − g1) ] / 864 ∀ S<Lm
Lm = 2S - [ 864 / (g2 − g1) ] ∀ S>Lm 
Where,  
Lm - Minimum Curve length  
g1 - Initial grade  
g2 - Final grade  
S - Passing Sight Distance

Vehicle Stopping Distance Formula

Stopping Distance =(v×t) { v² / [2×g×(f±G)] } 
Where,
g - gravity (9.8)
v - Vehicle Speed
t - perception Time
G - Grade of Road
f G - Grade of Uphill
f-G - Grade of Downhill

Cantilever Beam Slope, Deflection with Couple Moment Formula - Civil Engineering


Slope at free end = ML / EI
Deflection at any section = Mx2 / 2EI 
Where,
M is the couple moment at the free end,
E is the Elastic Modulus,
I is the Area moment of Inertia,
L is the Length of the beam and
x is the position of the load.

Concrete Slab Volume Formula

Volume of concrete Slab = w × l × t 
Where,
l - Length
w - Width
t – Thickness


Earthwork Cross Section Volume Formula

V = ((A1 A2) ×L) / 2  
Where,
L - Length between two areas
A1 - Cross section area of first side
A2 - Cross section area of second side
V - Eathwork Volume

Maximum Floor Load Capacity Formula 


w = 257.876s ( kh / E ) ^ 0.5 
Where,
w = Maximum Allowable Stationary Live Load,
k = Modulus of subgrade reaction,
h = Thickness of slab,
s = Allowable extreme fiber stress in tension,
E = Modulus of elasticity.

Concrete Slab Maximum Length Formula

L = ( 0.00047hr (fsS) ^2) ^ ( 1/3 )
Where,
L = Slab Length,
hr = Thickness of reinforced slab,
fs = Yield strength of steel reinforcement,
S = Steel reinforcing ratio

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