What are the conditions for the most economical triangular channel section?

What are the conditions for the most economical triangular channel section?

The most economical section of a triangular channel is one which has its sloping sides at an angle of 45 degree with the vertical. The discharge through a channel of rectangular section is maximum when its breadth is twice the depth.

What is the most efficient channel section?

The highest component of total construction cost is of lining & if the perimeter is kept minimum the cost of lining will be minimum, hence it will be the most economical section….Detailed Solution.

Section Condition
Triangular θ = 45°
Trapezoidal R = y/2 θ = 60° Most efficient trapezoidal section is half hexagone

What is the most economical trapezoidal channel section?

Thus a circle with centre O and radius equal to the depth of flow will be tangential to the three sides of a most economical trapezoidal section; this condition stipulates that the most economical section of a trapezoidal channel will be a half-hexagon.

Which conditions are used to design most economical canal section equation?

A rectangular channel section is the most economical when either the depth of flow is equal to half the bottom width or hydraulic radius is equal to half the depth of flow.

Which is the most economical section among the sections given below?

So tubular section is the most economical section.

What is the best side slope for most economical trapezoidal section?

The best side slope for most economical trapezoidal section, is 30° 45.

Which cross section of beam is most economical?

Beam theory shows that the I-shaped section is a very efficient form for carrying both bending and shear loads in the plane of the web.

What is the best hydraulic section?

A channel section with a minimum wetted perimeter for a given flow area is termed the best hydraulic section. The best hydraulic section has the shape of a half-square for rectangular channels and a half-hexagon for trapezoidal channels (Jain 2001).

What is the best trapezoidal section?

The top width of a most economical trapezoidal channel section is 7m and the side slope of the channel is 1H:2V, determine the depth of the channel section. 4. The top width of a most economical trapezoidal channel section is 8m, determine the hydraulic radius of the channel if the side slope is 1H:3V.

How do you define a most economical channel?

A section of a channel is said to be most economical when the cost of construction of the channel is minimum, but the cost of construction of channel depends on excavation and the lining, to keep the cost minimum the wetted perimeter should be minimum for a given discharge.

Which of the following is represents the most economical section?

Most economical section is the one whose wetted perimeter is minimum for the given value of discharge. ∴ R = d/2 i.e. Half the depth of flow.

Which of the following is the most economical sections?

Which is the most economical section of beam?

Which one of the following is true for the most economical trapezoidal section?

Most economical section is the one whose wetted perimeter is minimum for the given value of discharge.

What is the most economical section in steel design?

Tubular section is best suited and most economical for the design of smaller compression member subjected to smaller load.

Which is the most efficient section shape for bending?

The most efficient shape for both directions in 2D is a box (a square shell); the most efficient shape for bending in any direction, however, is a cylindrical shell or tube.

What is efficient sections in hydraulics?

The most efficient shape of the best hydraulic section is the half-circle, but such shape is not practical to construct. The semicircular shape can be approximated by a composite section that is composed of a lower trapezoidal section and an upper rectangular section (see Fig. 1).

How is the best hydraulic most economical channel cross section defined?

A channel section is said to be economical when it can pass a maximum discharge for a given cross-sectional area, resistance coefficient, and bottom slope. A section of a channel is said to be most economical when the cost of construction of the channel is minimum.

What is considered as an economical section?

The most economical section (also called the best section or most efficient section) is one that gives the maximum discharge for a given amount of excavation. From the equation of continuity it is evident that for the area of cross-section being constant, discharge is maximum when the velocity of flow is maximum.

Which section is most economical in compression section?

Tubular section
Tubular section is best suited and most economical for the design of smaller compression member subjected to smaller load.

What is the most economical section of a rectangular channel?

The most economical section of a rectangular channel is one which has hydraulic radius equal to half the depth of flow. The most economical section of a trapezoidal channel is one which has hydraulic mean depth equal to half the depth of flow.

What is the most economical section of a trapezoidal channel?

The most economical section of a trapezoidal channel is one which has hydraulic mean depth equal to half the depth of flow. The most economical section of a triangular channel is one which has its sloping sides at an angle of 45 degree with the vertical.

When is a section of a channel said to be economical?

Welcome back. and 2 others joined a min ago. A section of a channel is said to be most economical when the cost of construction of the channel is minimum, but the cost of construction of channel depends on excavation and the lining, to keep the cost minimum the wetted perimeter should be minimum for a given discharge.

What is the maximum discharge from trapezoidal and circular channels?

The discharge through a channel of trapezoidal section is maximum when the sloping side is equal to half the width at the top. The discharge through a channel of circular section is maximum when the depth of water is equal to 0.95 times the diameter of the circular channel.