no, point of inflexion is the another name of point of contraflexure
hat do we call if shear force is zero at ca point
it occur where moment becomes zero in bending moment diagram.
The inflexion point
Ah, the point of contraflexure is a special place where the shear force is zero. It's like a little moment of balance and harmony in our structural world. Just imagine a gentle stream flowing peacefully through the woods - that's the feeling we get when we reach the point of contraflexure.
A point of contra flexure occurs where the bending moment in a beam changes its sign (i.e. from +ve to -ve or -ve to +ve) So, obviously at the point of contraflexure the bending moment is zero. But note that the bending moment can be zero without changing its sign. So, at the point of contraflexure the bending moment has to be zero and the bending moment must change its sign as well.
Steel reinforcements are needed at the tension face,so point of contraflexures give us an idea where to bend up/down the bars. However, general practice is to extend the bars beyond the point of contraflexure because we can't predict it accurately (also to account for shear failure).
The term "point of contraflexure" is often used in structural engineering, specifically in the context of analyzing and designing beams subjected to bending loads. In simple terms, the point of contraflexure is the location along the length of a beam where the bending moment is zero. When a beam is subjected to bending loads, it experiences tensile (positive) bending moments and compressive (negative) bending moments along its length. The bending moment varies along the beam, reaching a maximum at the points where the bending is the most significant. These points are usually located near the supports of the beam. However, in some cases, particularly in continuous beams or beams with complex loading conditions, there may be a section along the beam where the bending moment changes direction from positive to negative or vice versa. This section is known as the point of contraflexure. At the point of contraflexure, the bending moment is zero, and the beam's curvature changes direction. This point is essential in the analysis and design of structures as it affects the internal forces and stresses within the beam. Identifying the point of contraflexure is crucial for engineers to ensure the beam's stability and design it appropriately to handle the bending loads effectively. The bending moment diagram is used to visualize the variation of bending moments along the length of the beam and to locate the point of contraflexure if it exists.
At the point of inflexion:the first derivative must be zero. the second derivative must be zero, if the next derivative is zero then the one following that must also be zero.
Noel McGonagle has written: 'The inflexion of the irregular verb in modern Gaelic dialects'
Boiling Point. Different substances reach this point at different pressures and temperatures.
It depends on the function. Some functions, for example any polynomial of odd order, will have no maximum or minimum. Some functions, such as the sine or cosine functions, will have an infinite number of maxima and minima. If a function is differentiable then a turning point can be found by finding the zero of its derivative. This could be a maximum, minimum or a point of inflexion. If the derivative before this zero is negative and after the zero is positive then the point is a minimum. If it goes from positive to negative, the pont is a maximum, and if it has the same sign (either both +ve or both -ve) then it is a point of inflexion. A second derivative can help answer this quicker, but it need not exist. These are all well behaved functions. The task is much more complicated for ill behaved functions. Consider, for example, the difference between consecutive primes. The minimum is clearly 1 (between 2 and 3) but the maximum? Or the number of digits between 1 and 4 in the decimal expansio of pi = 3.14159.... Minimum digit between = 0 (they are consecutive near the start of pi), but maximum?
yes!!!! every liquid is different for then it has a difference in the boiling and melting point.