Civil Engineering Subjects

Civil Engineering Subjects

Civil Engineering Subjects list

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Fluid Mechanics
Solid Mechanics
Soil Mechanics
Irrigation
Water Resource Engineering
Environmental Engineering
Structure Analysis
Structural Engineering Design
Transportation Engineering
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CSEB JE/AE CIVIL QUESTION PAPERS 2018 for CSPHCL Recruitment 2021

CSEB JE/AE CIVIL QUESTION PAPERS 2018 for CSPHCL Recruitment 2021

Cseb JE/AE civil Engineering Question Paper 2018:


CSPHCL JE/AE CIVIL Recruitment 2021 - Previous Year Papers


Download CSPHCL JE/AE CIVIL Previous Year Papers PDFs for Free Here!

  • Chhattisgarh State Power Holding Company Limited takes the responsibility of selecting candidates for the post of Junior Engineer. The candidates who have completed their education and are ready with the eligibility criteria will be able to apply for the CSPHCL JE/AE CIVIL. 
  • The candidates will be selected for the CSPHCL JE/AE CIVIL exam on the basis of their performance in the Computer-based test and document verification. The aspirants of the CSPHCL JE/AE CIVIL exam must have started their preparations and if not then do not worry. 
  • We have provided a few CSPHCL JE/AE CIVIL previous year papers for the candidates. The CSPHCL JE/AE CIVIL previous year papers will be helpful to the candidates as they get various different questions to practice and get an idea of the type of questions asked in the CSPHCL JE/AE CIVIL exam. By practicing with a variety of question sets, candidates will gain knowledge of the different types of questions that will be asked on the exam, boost their confidence, improve their accuracy, and speed up their response time. You can download various CSPHCL JE/AE CIVIL Previous Year Papers from the links below.

  • Dear Aspirants!!!! 
  • Here we provide CSPHCL JE/AE Engineer Previous Papers in PDF Format. So, applicants who want to make their preparation easy can download and practice CSPHCL JE/AE Engineer Previous Papers. Also, we provide CSPHCL JE/AE Engineer Syllabus PDF along with CSPHCL JE/AE Engineer Exam Pattern 2020-21 on this page for free cost. Also, Get details Of CSPHCL JE/AE Engineer Recruitment 2021 in the following sections. Moreover, aspirants can visit the official site of CSPHCL by scrolling down this page.


  • CSPHCL JE/AE CIVIL  Previous Year Papers: All Papers Available Here!
  • The ability to manage your time is the most important skill to have during your preparations. Candidates must practice and gain a solid understanding of the various types of questions in order to save the most time possible. 
  • You can complete one paper per day to get an idea of your own level of preparation. You can also divide the papers into sections and work on each one separately.
  •  We've put together a number of question sets to help you save time and prepare for the CSPHCL JE/AE CIVIL Previous Year Papers. The CSPHCL JE/AE CIVIL previous year’s papers can be found by clicking on the links below.

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  • Benefits of Solving CSPHCL JE/AE CIVIL Previous Year Papers
  • Candidates studying for the CSPHCL JE/AE CIVIL exam should go over the previous year's papers. As candidates solve CSPHCL JE/AE CIVIL previous year papers, their accuracy and time management skills, as well as their approach to various types of work, will improve, allowing them to better comprehend their concepts.
  • Candidates will be able to understand the CSPHCL JE/AE CIVIL Syllabus and exam pattern by practicing on the CSPHCL JE/AE CIVIL Previous Year Papers. It is advantageous to understand sectional weighting, the marking scheme, the question pattern, repeated questions, and unique questions, among other things.
  • It improves the speed and accuracy of the candidates. You will become more familiar with CSPHCL JE/AE CIVIL question papers as you solve more of them. As a result, you'll have a better grasp of the questions and be able to respond to them more quickly and accurately. By reviewing CSPHCL JE/AE CIVIL’s previous year papers, candidates can assess their own level of preparation.
  • Hopefully, the above article regarding CSPHCL JE/AE CIVIL’s previous year papers has been informative. If you wish to score higher marks and enhance the chances of qualifying for the CSPHCL JE/AE CIVIL exam, then download the previous year papers we wish you good luck.



Get Complete Details Of CSPHCL JE Recruitment 2021 @ www.cspc.co.in

Name Of The Organisation Chhattisgarh State Power Holding Company Limited
Post Name JUNIOR Engineer (Electrical, Mechanical, Civil)
Total No Of CSPHCL Assistant Engineer Vacancies 28 Posts only for CIVIL engineering
CSPHCL Application Mode Online
Starting Date To Apply Online For CSPHCL Assistant Engineer Recruitment 2021 29-09-2021
Last Date To Fill Online For CSPHCL JE Vacancies 2021 18-10-2021
CSPHCL JUnior Engineer Exam Date 2021 5 to 14 january 2022
CSPHCLJE Selection Process Computer-based Test only
CSPHCL JE Job Location Chattisgarh
Category Previous Papers
CSPHCL Official Website
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CSPHCL JE/AE Previous Year Papers FAQs

Do we only need to practice from the CSPHCL JE/AE previous year papers for the exam?

  • Likewise, if you practice you will surely crack job in CSPHCL Junior Engineer Exam 2021. Also, practice CSPHCL Assistant Engineer Previous Papers as soon as completion of the application process.

What are the topics included in the CSPHCL JE/AE exam syllabus?

  • All topic related to civill engineering subjects asked in other exams.

From where do we download the CSPHCL JE/AE previous year papers?

What is the CSPHCL JE/AE exam pattern

Exam Type Parts Total Subjects Number Of Questions Time Duration
Multiple Choice Test Part I Professional Subjects 80 2 Hours
Part II General Awareness & Reasoning 20
Total 100 Q
  • CSPHCL JE Exam is Multiple Choice Based Test

 Similarly, you can download CSPHCL Assistant Engineer Syllabus and CSPHCL Assistant Engineer Exam Pattern 2020-21 for free cost.



Methods of Soil Exploration - Soil mechanics - Civil Engineering

Methods of Soil Exploration - Soil mechanics - Civil Engineering

Methods of Soil Exploration

The methods available for soil exploration may be classified as follows:
  • 1. Direct methods: Test pits, trial pits or trenches.
  • 2. Semi-direct methods: Borings
  • 3. Indirect methods: Soundings or penetration tests and geophysical methods


Test Pits

  • This test is suitable only for small depths up to 3 m.
  • For excavation of pervious soils at great depths, lateral supports or bracings are required.
  • Useful for conducting field tests, such as plate bearing test.
  • Test pits are usually made only for supplementing other
  • methods or for minor structures.


Boring

  • Boring is a method of making or drilling bore holes into the ground for obtaining soil or rock samples from known or specified depths.
  • Depending upon the type of soil and the purpose of boring, the following methods are used for drilling the holes.

Types of Boring

1. Auger boring:

  • This method is effective for subsurface investigations of highways, railways and airfields, where the depth of exploration is small.
  • This method is, generally, used in soils which can stay open without casing or drilling mud, such as clays, silts, etc.

The main disadvantage of auger boring is that the soil samples are highly disturbed.



2. Wash boring:

  • Used for exploration below ground water table for which the Auger method is not suitable.
  • This method cannot be efficiently applied in hard soils, rocks and soils containing boulders.
  • The hole is advanced by a combination of chop-ping action and jetting action.

3. Rotary drilling:

  • It is used in clay sands and rocks. This method is not suitable if material contains large percentage of particles of gravel
  • The hole is advanced by rotating a hollow drill rod which has a cutting bit at its lower end.

4. Percussion drilling:

  • This method is suitable for making holes in rocks, boulders and other hard strata.
  • It is useful for drilling holes in glacial tills containing boulders.
  • In this method, a heavy chisel is alternately lifted and dropped in a vertical hole.

5. Core drilling:

  • • This method is used for drilling holes and obtaining rock cores.
  • • Diamond-cutting edge is used.



Spacing of Borings

  • The spacing of borings or the number of borings depends on the type, size and weight of the proposed structure, variation in soil conditions.
  • For an area of about 0.4 hectare, one bore hole or trial pit in each corner and one is the centre should be adequate.
  • For smaller and less important buildings, one bore hole at the cente is sufficient.


Depth of Borings

Normally, the depth of boring should be one and half times the width of the footing below the foundation level.

Soil Sampling

  • It is the process of obtaining soil samples from the desired depth at the desired location in a natural soil deposit to assess the engineering properties of soil.
  • The devices used for the purpose of sampling are known as soil samplers.



Limiting Moment of Resistance of a RCC Beam

Limiting Moment of Resistance of a RCC Beam

The limiting Moment of Resistance of a RCC Beam is given as:

Mu,lim = 0.362Bfck Xu,lim (d-0.42 Xu,Lim)

Where symbols have their usual meaning

Further, the Xu,lim/d ratio depends on grade of steel being used, which is referred from the below table:

Grade of Steel

Xu,lim/d

Fe 250

0.53

Fe 400

0.48

Fe 500

0.46



Development Length of Steel bar in RCC

Development length:

(i) The calculated tension or compression in any bar at any section shall be developed on each side of the section by an appropriate development length or end anchorage or a combination thereof.

ϕ = Diameter of bar

τbd = Design bond stress = Permissible value of average bond stress

The value of bond stress is increased by 60% for a deformed bar in tension and a further increase of 25% is made for bars in compression.

In case of bundled bars in contact the development length is increased than that for individual bar by

  1. 10% for two bars in contact
  2. 20% for three bars in contact
  3. 33% for four bars in content
Moisture Contents of Soil

Moisture Contents of Soil

Field Capacity:

  • It is the amount of water that remains in the soil after all the excess water at saturation has been drained out.
  • when sandy soils are allowed to drain for approximately 24 hours after saturation, field capacity is reached.

Saturation Capacity:

  • It is the soil water content where all soil pores are filled with water and water readily percolates or drains out from the root zone by gravitational force.
  • The metric suction at this condition is almost zero and it is equal to the free water surface.

Permanent Wilting Point:

  • Permanent wilting point is considered as the lower limit of available soil moisture.
  • At this stage, water is held tightly by the soil particles that the plant roots can no longer obtain enough water to satisfy the transpiration requirements; and remain wilted unless the moisture is replenished.

Readily available moisture: 

  • Readily available moisture is that portion of available moisture that can be most readily extracted by plants.
  • In general, readily available moisture is approx 75 % of the available moisture.

Available moisture:

  • The difference in water content of soil between field capacity and the permanent wilting point is called available moisture.

SC = Saturation capacity, FC = Field capacity, OMC = Optimum moisture content, PWP = Permanent welting point and UWP = Ultimate welting

Types of Flow in Open Channels - Critical flow - Civil Engineering

Types of Flow in Open Channels - Critical flow - Civil Engineering

Types of Flow in Open Channels

Depending upon the change in depth of the fl ow with respect to space and time, open channel flows can be classified as follows.

1. Steady and unsteady flow

  • When the discharge rate is constant, the flow is a steady flow. The sectional areas at diff erent sections may be different. So mean velocity of fl ow at diff erent sections may also be diff erent

2. Uniform and non-uniform or varied flow

  • When depth of flow is same at all sections, the flow is a uniform flow. This means that velocity is same at all sections. Water surface is parallel to bed in this case. In a non-uniform flow, depth of section and mean velocity is different at different sections. Water surface is not parallel to bed in non-uniform flows.
  • A non-uniform or varied flow can be:
  • 1. Rapidly varied flow (RVF)
  • 2. Gradually varied flow (GVF)

3. Laminar flow and turbulent flow

  • The laminar motion of fluid is characterised by the motion in layers (i.e., laminar), parallel to the boundary surface.
  • The conditions favourable for laminar flow are:
  • 1. High viscocity (m)
  • 2. Low mass density (r)
  • 3. Low mean velocity (V)
  • 4. Small flow passage (L)

4. Subcritical flow, critical flow and super critical flow

Critical flow

  • It is defined as the flow at which specific energy is minimum or the flow corresponding to critical depth is defined as critical flow.
  • Relation of critical velocity with critical depth is: `v = (gh)^(1/2)
  • Froude number is 1 for critical flow.

Tranquil flow or streaming flow or sub-critical flow

  • When the depth of a flow in a channel is greater than critical depth (hc), the flow is said to be sub-critical flow.
  • Froude number is less than 1 for sub-critical flow.

Torrential flow or shooting flow or super-critical flow

  • When the depth of a flow in a channel is less than critical depth (hc), the flow is said to be sub-critical flow.
  • Froude number is greater than 1 for sub-critical flow.

 

Also It can be categorized into various types based on different parameters such as flow velocity, depth, roughness of the channel bed, and characteristics of the fluid. Some of the common types of flow in open channels include:

  1. Uniform Flow:

    In uniform flow, the flow velocity, depth, and other flow properties remain constant along the channel reach. This type of flow occurs when the slope of the channel, the roughness of the bed and banks, and the discharge remain constant. Uniform flow is often observed in long, straight channels with constant cross-sectional shape.

  2. Non-Uniform Flow:

    Non-uniform flow occurs when the flow properties vary along the channel, typically due to changes in channel slope, cross-sectional shape, or hydraulic characteristics. This type of flow is common in natural channels where there are variations in bed roughness, channel geometry, or where there are hydraulic structures such as bends, constrictions, or expansions.

  3. Steady Flow:

    Steady flow refers to a condition where the flow properties at any point in the channel remain constant over time. The flow rate, velocity, depth, and other parameters do not change with time. Steady flow can occur in both uniform and non-uniform flow conditions.

  4. Unsteady Flow:

    Unsteady flow occurs when the flow properties change with time at a particular point in the channel. This can happen due to sudden changes in discharge, channel geometry, or other hydraulic conditions. Unsteady flow is often observed during flood events, rapid changes in upstream flow rates, or when hydraulic structures are operated.

  5. Critical Flow:

    Critical flow occurs when the flow velocity equals the wave celerity, resulting in specific flow conditions known as critical depth. At critical flow conditions, small disturbances in flow depth or velocity can propagate upstream or downstream without any change in their amplitude. Critical flow is important in the design and analysis of hydraulic structures such as spillways and culverts.

  6. Subcritical Flow:

    Subcritical flow occurs when the flow velocity is less than the wave celerity, leading to gradually varying flow profiles downstream. In subcritical flow, disturbances propagate upstream, and flow properties change gradually along the channel. Most natural river flows are subcritical.

  7. Supercritical Flow:

    Supercritical flow occurs when the flow velocity exceeds the wave celerity, resulting in rapidly varying flow profiles downstream. In supercritical flow, disturbances propagate downstream, and flow properties change rapidly along the channel. Supercritical flow is often observed in steep channels, hydraulic jumps, and in high-velocity flow situations.

These are some of the fundamental types of flow in open channels related to soil and fluid mechanics. Understanding these flow types is essential for various engineering applications, including the design of drainage systems, irrigation canals, river management, and flood control structures.


Each type of flow with some examples to illustrate their characteristics:

  1. Uniform Flow:

    Imagine a straight canal with a constant slope, width, and depth. If the flow rate (discharge) remains constant and there are no changes in the channel's cross-sectional shape or roughness, the flow properties (velocity, depth) will also remain constant along the length of the canal. This is an example of uniform flow. It's like water flowing steadily through a long, straight pipe at a constant rate.

  2. Non-Uniform Flow:

    Consider a river that encounters a meander or a bend. As the river flows through the bend, the velocity and depth of the flow change. Near the outer bank of the bend, the flow is faster and deeper, while near the inner bank, the flow is slower and shallower. This variation in flow properties along the channel represents non-uniform flow. Another example could be a sudden constriction or widening of the channel, causing changes in flow properties.

  3. Steady Flow:

    Think of a canal with water flowing steadily through it. The flow rate, velocity, and depth at any given point in the canal remain constant over time. As long as there are no sudden changes in the channel or upstream conditions, the flow properties do not fluctuate. This represents steady flow. It's like a faucet with a constant stream of water flowing out.

  4. Unsteady Flow:

    Imagine a dam releasing water into a river at a variable rate over time. As the flow rate from the dam changes, the flow properties downstream of the dam also change. This fluctuation in flow properties with time represents unsteady flow. Another example could be a sudden flood event causing rapid changes in flow rates and depths in a river.

  5. Critical Flow:

    Consider water flowing through a narrow channel at a certain velocity. If the flow velocity reaches a critical value, known as critical velocity, the flow becomes critical. At this critical velocity, the depth of flow reaches a specific value known as critical depth, and the flow properties exhibit unique characteristics. An example of critical flow is when water flows through a hydraulic jump, such as at the base of a spillway.

  6. Subcritical Flow:

    Imagine water flowing gradually downstream in a river with a velocity slower than the wave celerity. In subcritical flow, small disturbances in flow propagate upstream, and the flow properties change gradually along the channel. This is typical of most natural river flows.

  7. Supercritical Flow:

    Consider water flowing rapidly downstream in a steep channel with a velocity greater than the wave celerity. In supercritical flow, disturbances propagate downstream, and the flow properties change rapidly along the channel. An example of supercritical flow is the flow downstream of a hydraulic jump, where the flow abruptly changes from subcritical to supercritical.

These examples should help you grasp the concept of different types of flow in open channels and how they relate to soil and fluid mechanics


Open channel

An open channel is a conduit through which fluid flows with a free surface exposed to the atmosphere. Unlike a closed conduit, such as a pipe, which contains the fluid within its boundaries, an open channel allows the fluid to flow freely along an open path. Here's a more detailed description:

  1. Fluid Flow

    An open channel typically carries liquids such as water, although it can also carry other fluids like oil or sewage. The flow can be driven by gravity, pressure differences, or other forces.

  2. Free Surface

    One distinguishing feature of an open channel is that the surface of the fluid is open to the atmosphere. This means that the top surface of the flowing liquid is exposed to air, allowing interactions such as evaporation and gas exchange to occur.

  3. Channel Geometry

    Open channels can have various shapes and sizes, including natural formations such as rivers and streams, as well as man-made structures like canals and flumes. The geometry of the channel, including its width, depth, and cross-sectional shape, influences the behavior of the flowing fluid.

  4. Boundary Conditions

    Unlike closed conduits where the fluid is confined within solid boundaries, open channels have boundary conditions determined by the interaction of the fluid with the channel bed and banks. Factors such as bed roughness, bank slope, and vegetation can affect the flow characteristics.

  5. Hydraulic Considerations

    The study of open-channel flow involves analyzing the behavior of fluids in these open conduits. Engineers and scientists use principles from fluid mechanics, hydraulics, and sediment transport to understand and predict the behavior of open-channel flows.

Examples of open channels include:

  • Rivers and streams: Natural watercourses that flow along the Earth's surface.
  • Canals: Artificial waterways constructed for irrigation, navigation, drainage, or flood control purposes.
  • Ditches: Small channels dug to drain water from fields or convey runoff.
  • Flumes: Structures designed to measure the flow rate of water in open channels.
  • Culverts: Structures that allow water to flow beneath roads, railways, or embankments.

Understanding open-channel flow is essential in various engineering and environmental applications, including water resource management, flood forecasting, hydraulic structure design, and environmental protection.

 
 

Importance of flow in Engineering study

Different types of flow in open channels have varying levels of importance and utility in engineering applications, depending on the specific requirements and objectives of the project. Here's a breakdown of how each type of flow is commonly used in engineering:

  1. Uniform Flow:

    • Usefulness: Uniform flow is often desirable in engineering applications where a steady, predictable flow rate is required, such as in irrigation canals, water supply systems, and open-channel drainage networks.
    • Example Application: Designing irrigation systems for agricultural fields often requires maintaining a constant flow rate to ensure uniform water distribution.
  2. Non-Uniform Flow:

    • Usefulness: Non-uniform flow is prevalent in natural watercourses and can also be engineered to achieve specific objectives, such as mitigating erosion or controlling sediment transport.
    • Example Application: Designing riverbank protection measures to prevent erosion may involve considering non-uniform flow patterns near bends or constrictions.
  3. Steady Flow:

    • Usefulness: Steady flow conditions are essential for many engineering analyses and designs, providing a basis for hydraulic calculations and stability assessments.
    • Example Application: Designing hydraulic structures like weirs or culverts often relies on steady flow assumptions to predict water levels, velocities, and pressure distributions.
  4. Unsteady Flow:

    • Usefulness: Unsteady flow analysis is crucial for predicting and managing flood events, analyzing transient phenomena, and designing hydraulic structures subjected to variable flow conditions.
    • Example Application: Flood forecasting and emergency management systems use unsteady flow modeling to predict river behavior during storm events and develop evacuation plans.
  5. Critical Flow:

    • Usefulness: Critical flow conditions are important in hydraulic engineering for understanding hydraulic jumps, designing spillways, and analyzing flow transitions.
    • Example Application: Designing spillways for dams involves ensuring that flow rates can be safely discharged without causing damage or erosion, which often requires consideration of critical flow conditions.
  6. Subcritical Flow:

    • Usefulness: Subcritical flow is commonly encountered in natural watercourses and is relevant for various engineering applications, such as river habitat restoration, sediment transport modeling, and ecosystem management.
    • Example Application: Designing fish passages or habitat enhancements in rivers requires understanding how subcritical flow conditions affect water velocities and habitat suitability.
  7. Supercritical Flow:

    • Usefulness: Supercritical flow conditions are essential for analyzing hydraulic jumps, designing high-speed channels, and optimizing energy dissipation in hydraulic structures.
    • Example Application: Designing energy dissipators for high-velocity flows in spillways or diversion channels involves optimizing flow conditions to prevent erosion and minimize turbulence.

In summary, each type of flow in open channels serves specific engineering purposes and is selected based on the project's objectives, constraints, and hydraulic considerations. Understanding the characteristics and applications of different flow types is essential for designing efficient and resilient hydraulic systems and structures.



Importance of Critical Flow study in Spillway design:

Critical flow conditions play a crucial role in the design and operation of spillways for dams. Spillways are hydraulic structures built to safely discharge excess water from a reservoir during periods of high inflow or flood events. Ensuring that flow rates can be safely discharged without causing damage or erosion is a primary concern in spillway design, and critical flow conditions are fundamental to achieving this objective. Here's a more detailed explanation of how critical flow considerations are relevant in spillway design:

  1. Hydraulic Jump Formation: One of the key aspects of spillway design is managing the energy dissipation of the discharged flow to prevent erosion and downstream scour. When high-velocity flow discharges from a spillway into a lower-energy environment, such as a downstream channel or riverbed, a hydraulic jump typically forms. A hydraulic jump is a phenomenon where the flow transitions from supercritical to subcritical, resulting in rapid energy dissipation and turbulence. Critical flow conditions are crucial in determining the characteristics and stability of the hydraulic jump.

  2. Energy Dissipation: Critical flow conditions are associated with the formation and stability of hydraulic jumps, which play a critical role in dissipating the excess energy of the discharged flow. By promoting the formation of hydraulic jumps, spillway designers can effectively dissipate the kinetic energy of the flowing water, reducing its erosive potential and minimizing downstream impacts such as scour and erosion.

  3. Chute and Stilling Basin Design: Spillway structures often include features such as chutes and stilling basins, which are designed to facilitate the formation and stabilization of hydraulic jumps. Chutes are sloped sections that accelerate the flow, while stilling basins are typically flat or gradually sloping areas where the hydraulic jump occurs and energy dissipation takes place. Critical flow considerations inform the design of these structures to ensure that hydraulic jumps form reliably and safely under a range of flow conditions.

  4. Flow Capacity and Discharge Efficiency: Critical flow conditions also influence the capacity and efficiency of spillways in discharging flow from the reservoir. By optimizing the design to promote critical flow and hydraulic jump formation, engineers can maximize the flow capacity of the spillway while minimizing the risk of erosion and damage downstream. This allows for the safe and effective management of flood events and reservoir operations.

In summary, critical flow considerations are essential in spillway design for dams to ensure the safe and efficient discharge of excess water while minimizing erosion and downstream impacts. By understanding and leveraging critical flow conditions, engineers can design spillways that effectively dissipate energy, prevent damage, and protect downstream communities and infrastructure during flood events.


Froude number and Critical Flow

The Froude number` (\(Fr\))` indeed plays a crucial role in determining critical flow conditions in open-channel flow. When the Froude number is unity `(\(Fr = 1\))` at a certain depth of flow, it indicates critical flow conditions. This critical flow condition is characterized by the flow velocity being equal to the wave celerity, resulting in a balanced relationship between gravitational and inertial forces. At this point, the flow is said to be at critical velocity, and the depth at which this occurs is referred to as the critical depth `(\(y_c\))`.

The Froude number is defined as the ratio of flow velocity to the square root of the product of gravity and flow depth:

`\[ Fr = \frac{V}{\sqrt{g \cdot y}} \]`

Where:
- `\( V \)` = Flow velocity
- `\( g \)` = Acceleration due to gravity
- `\( y \)` = Flow depth

When` \( Fr = 1 \)`, it signifies that the flow velocity is critical, meaning that the flow velocity is just sufficient to overcome the gravitational forces acting on the flow, resulting in critical flow conditions.

In summary, the Froude number being unity at a specific depth indicates critical flow conditions, where the flow velocity equals the wave celerity, and this depth is known as the critical depth. Thank you for pointing out the connection between Froude number, critical velocity, and critical depth in open-channel flow.

 
 
The concepts of subcritical, critical, and supercritical flow in open-channel hydraulics, along with explanations of celerity and energy:

1. Subcritical Flow:
- Definition: 
  •  Subcritical flow occurs when the flow velocity `(\(V\))` is less than the wave celerity `(\(C\))`, resulting in a Froude number `(\(Fr\))` less than 1 `(\(Fr < 1\))`.
- Characteristics: 
  • In subcritical flow, the flow depth `(\(y\))` is relatively deep compared to the wavelength, and gravitational forces dominate inertial forces. Waves propagate upstream in subcritical flow, and disturbances in flow properties gradually attenuate.
- Froude Number Relationship: 
  • `\(Fr < 1\)`
- Example: 
  • Steady flow in a natural river channel with moderate velocity, where the flow depth is greater than the critical depth.

2. Critical Flow:
- Definition: 
  • Critical flow occurs when the flow velocity (\(V\)) equals the wave celerity (\(C\)), resulting in a Froude number (\(Fr\)) equal to 1 (\(Fr = 1\)).
- Characteristics: 
  • At critical flow conditions, gravitational and inertial forces are in balance, and waves neither advance nor retreat. Critical flow often occurs at critical depth (\(y_c\)).
- Froude Number Relationship
  • `\(Fr = 1\)`
- Example: 
  • Hydraulic jump in a spillway, where the flow velocity transitions from supercritical to subcritical.

3. Supercritical Flow:
- Definition: 
  • Supercritical flow occurs when the flow velocity `(\(V\))` exceeds the wave celerity `(\(C\))`, resulting in a Froude number `(\(Fr\))` greater than 1 `(\(Fr > 1\))`.
- Characteristics: 
  • In supercritical flow, the flow depth `(\(y\))` is relatively shallow compared to the wavelength, and inertial forces dominate gravitational forces. Waves propagate downstream in supercritical flow, and disturbances in flow properties rapidly amplify.
- Froude Number Relationship: 
 `\(Fr > 1\)`
- Example: 
  • Rapid flow over a hydraulic jump, where the flow velocity is high, and the flow depth is shallow.

Celerity:
  • Celerity `(\(C\))` refers to the speed at which waves or disturbances propagate through a fluid medium. In the context of open-channel flow, wave celerity is the speed at which small disturbances in flow properties (such as depth or velocity) travel along the flow direction. It is calculated as the square root of the product of gravity `(\(g\))` and the flow depth `(\(y\))` for steady, uniform flow:

`\[ C = \sqrt{g \cdot y} \]`

Energy in Open-Channel Flow:
The energy associated with open-channel flow consists of two components:
- Kinetic Energy: 
  • This is the energy associated with the flow velocity `(\(V\))`. It represents the energy per unit weight of fluid due to the motion of the fluid particles.
- Potential Energy: 
  • This is the energy associated with the elevation of the flow. It represents the energy per unit weight of fluid due to the gravitational force acting on the fluid.

The total energy per unit weight of fluid, also known as specific energy `(\(E\))`, is the sum of kinetic and potential energies:

`\[ E = \frac{V^2}{2} + g \cdot y \]`

Where:
- `\( E \)` = Specific energy
- `\( V \)` = Flow velocity
- `\( g \)` = Acceleration due to gravity
- `\( y \)` = Flow depth

In critical flow conditions, the specific energy is minimized, leading to the formation of a hydraulic jump where excess kinetic energy is dissipated as turbulence and potential energy increases.

Understanding the relationships between flow velocity, celerity, Froude number, and energy is crucial for analyzing and designing open-channel flow systems and hydraulic structures. These concepts are fundamental to hydraulic engineering and play a significant role in various applications, including flood management, river engineering, and water resource development.
Types of Shear Failure in foundation

Types of Shear Failure in foundation

Types of Shear Failure

1. General shear failure:

  • It occurs in dense sand or stiff clay.
  • A heave on the sides is always observed in general shear failure.
  • The failure surfaces extend up to the ground level.

2. Local Shear Failure 

  •  It occurs in medium-dense sand or on in clay of medium consistency.
  • Failure surface extend to the ground surface after considerable vertical movement.
  • A heave is observed only when there is a substantial vertical settlement

Some characteristics of local shear failure are:

  • 1. Failure is not sudden and there is no tilting of footing.
  • 2. Failure surface does not reach the ground surface and slight bulging of soil around the footing is observed
  • 3. Failure surface is not well defined
  • 4. Failure is progressive
  • 5. In the load-settlement curve, there is no well-defined peak
  • 6. Failure is characterized by considerable settlement directly beneath the foundation
  • 7. Significant compression of soil below the footing and partial development of plastic equilibrium is observed.
  • 8. Well-defined wedge and slip surface only beneath the foundation.


Local shear Failure

Important Points

  • In General Shear Failure  A well – defined failure pattern is observed.

3. Punching shear failure:

  • It occurs in loose sand or soft clay.
  • No heave is observed and failure surface does not extend upto the ground level.
  • Only vertical movement of footing.

Punching shear Failure


Criteria for General Shear Failure and Local Shear Failure

  • 1. For a cohesionless soil, if  Φ is >36°, a general shear failure is likely to occur and, if  fΦ< 29°, local shear failure occurs.
  • 2. If failure strain is less than 5%, general shear failure will occur and local shear failure occurs at a failure strain of 10–20%.
  • 3. It relative density is greater than 70%, general shear failure would occur and if it is less than 35% local shear occurs.
  • 4. If N > 30, GSF occurs and if N < 5, LSF occurs.
  • 5. If e < 0.55, GSF occurs. If e > 0.75, LSF occurs.









Ten Fun and Exciting Facts About Engineering - VK Study

Ten Fun and Exciting Facts About Engineering - VK Study

Ten 'Fun and Exciting' Facts About Engineering

    The snowboard was invented by an engineer?  

    • With some engineering twists and turns along the way, the snowboard has become a marvel of geometry, chemistry, and biomechanics. Since the snowboard allows deft turns, ski manufacturers have quickly adopted some of the snowboard innovations, enabling skiers to turn with less effort.


    Engineers design running shoes for protection, performance, and comfort?  

    • Engineers understand how much force travels from the ground through the shoe to the foot. Through the work of engineering, weight is distributed throughout the whole foot -- heel to toe.


    A civil engineer created the slippery part of the water slide?  

    • A civil engineer designed a pumping system to circulate just the right amount of water to the flume. Without the right flow of water, there is no ride. Additionally, civil engineers have designed the slide to withstand the weight of people, the water, and even the force of the wind blowing on it.



    The launch and return of spacecraft, from the Apollo to the Shuttle, is a monumental engineering triumph?  

    • The space program has greatly expanded the world's knowledge base. The technological advancement by engineers in energy, communications, materials, structures, and computers, have made space travel possible.

    The Ferris Wheel is considered one of the greatest engineering wonders in the world?  

    • The first Ferris Wheel was created by Pittsburgh, Pennsylvania engineer, George W. Ferris, in 1893. The wheel is supported by two 140-foot steel towers and connected by a 45-foot axle -- the largest single piece of forged steel ever made at that time.

    Engineers make interactive television possible?  

    • Engineers are involved in all aspects of interactive TV technology, from designing new cables, to creating new film emulsions, to engineering better sound quality. This technology allows viewers to select any program, film, or game from more than 500 channels.

    Engineers play an instrumental role in the theme park industry? 

    • Theme park engineers are involved in designing, building, lighting, and even controlling the crowd flow in theme parks around the world.

    Companies and universities are using engineers to form the Virtual Reality and Simulation Initiative?

    •  This technology applies computer simulation and visualization to 3-D modeling projects, such as virtual offices.

    Bioengineers are creating a new and exciting medical technology?  

      • This technology will utilize virtual reality to help surgeons reconstruct facial birth defects.
      • Computer engineers, in conjunction with animators, have created special effects in movies such as "Jurassic Park," "Forrest Gump," and "Interview with the Vampire"?  Through "morphing" technology, images are digitally mastered to appear realistic.



      Sources:
      Baine, Celeste. The Fantastical Engineer. Farmerville, LA: Bonamy Publishing, 2000.

      http://www.discoverengineering.org/
      http://www.greatachievements.org/
      http://www.inventors.about.com/




      Euler's formula for long column- Strength of Material

      Euler's formula for long column- Strength of Material

      Euler’s theory:

      • This theory is valid only for long columns only.
      • This theory is valid only when slenderness ratio is greater or equal to critical slenderness ratio.
      • For any slenderness ratio above critical slenderness ratio, column fails by buckling and for any value of slenderness ratio less than this value, the column fails in crushing not in buckling.

      Euler’s critical load formula is,

      `e = (pi^2*EI)/l^2`

      • Euler’s formula is applicable when, Crushing stress ≥ Buckling stress


      For mild steel,

      E = 2 × 105 N/mm2

      σcr = 330 N/mm2

       λ ≥ 80 N/mm2

      • When slenderness ratio for mild steel column is less than 80, the Euler’s theory is not applicable.



      Theories of  failure - Strength of Material

      Theories of failure - Strength of Material

      Theories of Failure and shapes - Strength Of Material


      Maximum Principal Stress theory or Rankine theory

      Maximum Principal stress theory or rankine theory
      Maximum Principal stress theory or rankine theory


      Maximum principal strain theory st. venant's theory
      Maximum principal strain theory st. venant's theory
      st. venant theory or max principal strain theory




      Maximum shear stress theory
      maximum shear stress theory


      maximum strain energy theory
      maximum strain energy theory


      maximum strain energy theory 




      maximum shear strain energy theory
      maximum shear strain energy theory 


      In short 

      For brittle material


      Theories of failure


      Shape


      Maximum Principal Stress theory 

      (RANKINE’S THEORY)

      Square


      Maximum Principal Strain theory 

      (St. VENANT’S THEORY)

      Rhombus


      Total Strain Energy theory 

      (HAIGH’S THEORY)

      Ellipse


      For Ductile material


      Theories of failure


      Shape


      Maximum Shear Stress Theory 

      (GUEST AND TRESCA’S THEORY)

      Hexagon


      Maximum Distortion Energy Theory 

      (VON MISES AND HENCKY’S THEORY)

      Ellipse