Showing posts with label Engineering mechanics. Show all posts
Showing posts with label Engineering mechanics. Show all posts
Dynamic Viscosity Calculator| Fluid mechanics for civil Engineers
Dynamic Viscosity Calculator
Formulas Used:
\\[ F = W \\cdot \\cos(\\theta) \\]
\\[ \\tau = \\frac{F}{A} \\]
\\[ \\mu = \\frac{\\tau \\cdot dy}{du} \\]
\\[ \\text{Where: } \\mu \\text{ in Ns/m², and } 1~\\text{Ns/m²} = 10~\\text{poise} \\]
Shear stress calculator| fluid mechanics for civil engineers
Shear Stress Calculator
Formulas Used (Rendered with MathJax):
Tangential Velocity:
\\[ u = \\frac{\\pi D N}{60} \\]
\\[ u = \\frac{\\pi D N}{60} \\]
Shear Stress:
\\[ \\tau = \\mu \\cdot \\frac{du}{dy} \\]
\\[ \\tau = \\mu \\cdot \\frac{du}{dy} \\]
Note: μ in poise is converted to Ns/m² by dividing by 10.
D is converted from cm → m, dy from mm → m.
D is converted from cm → m, dy from mm → m.
Viscosity of calculator| Fluid mechanics for civil engineers
Fluid Viscosity Calculator
Formulas Used:
Shear Stress: τ = μ × (du/dy)
Dynamic Viscosity: μ = (τ × dy) / du
Note: dy is converted to meters (1 mm = 0.001 m)
Petrol Property Calculator| Fluid mechanics for civil engineering
Petrol Property Calculator
Formulas Used:
Density (ρ):
ρ = S × 1000 kg/m³
ρ = S × 1000 kg/m³
Specific Weight (w):
w = ρ × g
w = ρ × g
Weight (W):
W = w × Volume (in m³)
W = w × Volume (in m³)
Note: 1 litre = 0.001 m³, g = 9.81 m/s²
Fluid properties |Fluid Mechanics in Civil Engineering
Petrol Property Calculator
Formulas Used:
Density (ρ):
ρ = S × 1000 kg/m³
ρ = S × 1000 kg/m³
Specific Weight (w):
w = ρ × g
w = ρ × g
Weight (W):
W = w × Volume (in m³)
W = w × Volume (in m³)
Note: 1 litre = 0.001 m³, g = 9.81 m/s²
Fluid mechanics chapter 1| let's go through it
Fluid Mechanics - 20 Key Questions and Answers
1. What is the primary distinction between a fluid and a solid?▼
A solid resists deformation and has a definite shape, while a fluid continuously deforms under any applied shear stress.
2. Define density.▼
Density is the mass per unit volume of a substance, typically expressed in kg/m³.
3. What is specific weight?▼
Specific weight is the weight per unit volume of a fluid, calculated as γ = ρ × g.
4. Define specific gravity.▼
Specific gravity is the ratio of the density of a fluid to the density of a reference substance (usually water).
5. What is dynamic viscosity?▼
Dynamic viscosity is a fluid's resistance to flow under an applied force, measured in Pa·s or Ns/m².
6. Define kinematic viscosity.▼
Kinematic viscosity is the ratio of dynamic viscosity to density, expressed as ν = μ / ρ in m²/s.
7. How does viscosity vary with temperature in liquids?▼
Viscosity decreases with increasing temperature in liquids.
8. How does viscosity vary with temperature in gases?▼
Viscosity increases with increasing temperature in gases.
9. State Newton's law of viscosity.▼
Shear stress τ is proportional to the velocity gradient: τ = μ × (du/dy).
10. What is a Newtonian fluid?▼
A Newtonian fluid is one whose viscosity remains constant regardless of the applied shear rate and obeys Newton’s law of viscosity.
11. What is vapor pressure?▼
Vapor pressure is the pressure exerted by a vapor in equilibrium with its liquid at a given temperature.
12. Define boiling point in terms of vapor pressure.▼
The boiling point is the temperature at which the vapor pressure of a liquid equals the surrounding atmospheric pressure.
13. What is surface tension?▼
Surface tension is the force per unit length acting along the surface of a liquid, causing it to behave like a stretched elastic sheet.
14. What causes surface tension in fluids?▼
Surface tension is caused by cohesive forces between liquid molecules at the surface being unbalanced, pulling them inward.
15. Define capillarity (capillary action).▼
Capillarity is the ability of a liquid to flow in narrow spaces without external forces, due to the interplay between cohesive and adhesive forces.
16. How does surface tension affect capillarity?▼
Higher surface tension increases capillary rise in narrow tubes, provided adhesive forces with the walls are also strong.
17. What is the bulk modulus of elasticity?▼
It is a measure of a fluid's resistance to uniform compression, defined as the ratio of pressure change to relative volume change.
18. What does a high bulk modulus indicate about a fluid?▼
A high bulk modulus means the fluid is nearly incompressible.
19. Define compressibility of a fluid.▼
Compressibility is the measure of how much a fluid's volume changes under pressure, the inverse of the bulk modulus.
20. Why are liquids often considered incompressible in fluid mechanics?▼
Because their compressibility is very low (bulk modulus is high), leading to negligible volume changes under normal pressure.
Structural analysis-moment distribution method
Text and reference books.
1. Hibbeler R. C. (2017). Structural Analysis (9th edition.). Pearson Publishers Pvt Ltd.
2. Ramamrutham S. (2020). Strength of Materials (20thedition.).Dhanpat rai publishing company.
3. Khurmi R. S. (2018). A Textbook Of Strength Of Materials (Revised edition.). S Chand And Company Ltd.
T-section moment of inertia
Moment of inertia calculator for T-section
Dimensions of T-section :
flange of T-section :
Width of flange : mm.
Depth of flange : mm.
Web of T-section:
Width of web : mm.
Depth of web : mm.
Calculation of areas of I-section parts
Area of top flange ( Atf ) : mm2.
Area of web ( Aw ) : mm2.
Total area of I-section ( A ) : mm2.
Calculation of centroid of T-section :
Note:Due to symmetry centroid lies on y-y axis. The distance of the centroid from the bottom most fibre is given belowCentroid of I-section : mm.
Calculation of moment and polar moment of inertias of T-section :
Moment of inertia about centroidal axis x-x, Ixx : mm4.
Moment of inertia about centroidal axis y-y, Iyy : mm4.
Polar moment of inertia Izz : mm4.
Calculation of radius of gyration of T-section :
Radius of gyration kxx : mm.
Radius of gyration kyy : mm.
Area, centroid, radius of gyration Moment and polar moment of inertia of I-section
Moment of inertia calculator for I-section
Dimensions of I-section :
Top flange :
Width of flange : mm.
Depth of flange : mm.
Web of I-section:
Width of web : mm.
Depth of web : mm.
Bottom flange :
Width of flange : mm.
Depth of flange : mm.
Calculation of areas of I-section parts
Area of top flange ( Atf ) : mm2.
Area of web ( Aw ) : mm2.
Area of bottom flange ( Abf ) : mm2.
Total area of I-section ( A ) : mm2.
Calculation of centroid of I-section :
Note:Due to symmetry centroid lies on y-y axis.Centroid of I-section : mm.
Calculation of moment and polar moment of inertias of I-section :
Moment of inertia about centroidal axis x-x, Ixx : mm4.
Moment of inertia about centroidal axis y-y, Iyy : mm4.
Polar moment of inertia Izz : mm4.
Calculation of radius of gyration of I-section :
Radius of gyration kxx : mm.
Radius of gyration kyy : mm.
Moment of inertia of I-section
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