Answer:
Q = 14.578 m³/s
Explanation:
Given
We use the Manning Equation as follows
Q = (1/n)*A*(∛R²)*(√S)
where
- Q = volumetric water flow rate passing through the stretch of channel (m³/s for S.I.)
-
A = cross-sectional area of flow perpendicular to the flow direction, (m² for S.I.)
-
S = bottom slope of channel, m/m (dimensionless) = 2.5% = 0.025
-
n = Manning roughness coefficient (empirical constant), dimensionless = 0.023
-
R = hydraulic radius = A/P (m for S.I.) where
:
-
A = cross-sectional area of flow as defined above,
-
P = wetted perimeter of cross-sectional flow area (m for S.I.)
we get A as follows
A = (B*h)/2
where
B = 5 m (the top width of the flowing channel)
h = (B/2)*(m) = (5 m/2)*(1/2) = 1.25 m (the deep)
A = (5 m*1.25 m/2) = 3.125 m²
then we find P
P = 2*√((B/2)²+h²) ⇒ P = 2*√((2.5 m)²+(1.25 m)²) = 5.59 m
⇒ R = A/P ⇒ R = 3.125 m²/5.59 m = 0.559 m
Substituting values into the Manning equation gives:
Q = (1/0.023)*(3.125 m²)*(∛(0.559 m)²)*(√0.025)
⇒ Q = 14.578 m³/s
Answer:
Upper bounds 22.07 GPa
Lower bounds 17.59 GPa
Explanation:
Calculation to estimate the upper and lower bounds of the modulus of this composite.
First step is to calculate the maximum modulus for the combined material using this formula
Modulus of Elasticity for mixture
E= EcuVcu+EwVw
Let pug in the formula
E =( 110 x 0.40)+ (407 x 0.60)
E=44+244.2 GPa
E=288.2GPa
Second step is to calculate the combined specific gravity using this formula
p= pcuVcu+pwTw
Let plug in the formula
p = (19.3 x 0.40) + (8.9 x 0.60)
p=7.72+5.34
p=13.06
Now let calculate the UPPER BOUNDS and the LOWER BOUNDS of the Specific stiffness
UPPER BOUNDS
Using this formula
Upper bounds=E/p
Let plug in the formula
Upper bounds=288.2/13.06
Upper bounds=22.07 GPa
LOWER BOUNDS
Using this formula
Lower bounds=EcuVcu/pcu+EwVw/pw
Let plug in the formula
Lower bounds =( 110 x 0.40)/8.9+ (407 x 0.60)/19.3
Lower bounds=(44/8.9)+(244.2/19.3)
Lower bounds=4.94+12.65
Lower bounds=17.59 GPa
Therefore the Estimated upper and lower bounds of the modulus of this composite will be:
Upper bounds 22.07 GPa
Lower bounds 17.59 GPa
Explanation:
For true Strain:
step 1:
E true = Ln(1 + 0.5 ) = 0.40
Step 2:
E true = Ln(1 + 0.33 ) = 0.29
By single step process:
E true = Ln(1 + 1 ) = 0.69
total strain of step process = 0.40 + 0.29 = 0.69 units
SO TRUE STRAIN IS ADDITIVE.
Answer:
no it is not 2D
Explanation:
it is 3D
ok so follow these steps
- make hole
-make square
-make triangle
ok now your figure is ready
