What is secant formula for column?

05/29/2020 Off By admin

What is secant formula for column?

The secant formula indicates that in addition to the axial load F and cross-section area A, the maximum stress also depends on the eccentricity ratio ec/r2 and the slenderness ratio L/r. Note: If the eccentricity e is zero, the secant formula no longer applies.

How do you solve a secant equation?

The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .

What is eccentrically loaded column?

Eccentric loading on column. When the load acting on the column is offset from the centroid of the column, then it establishes the bending of column along with the axial stress. This offset loading of the column is referred as eccentric loading.

How do you calculate eccentric loading?

It is now M=−P(y+e) M = − P ( y + e ) , where P is the compressive load, y is the column deflection, and e is the offset distance of the load relative to the vertical portion of the column, the eccentricity.

What is the equation of the secant line?

Answer: The equation of a secant line given two points (a, b) and (c, d) is y – b = [(d – b)/(c – a)] (x – a) Let’s understand the equation of a secant line given two points. Explanation: Let two points joining a secant line be (a, b) and (c, d).

What is secant ratio?

The secant is the reciprocal of the cosine. It is the ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.

What Is an axially loaded column?

28.1 INTRODUCTION. A reinforced concrete column is said to be subjected to an axial load when the line of the resultant thrust of loads supported by the column is coincident with the line of C.G. of the column in the longitudinal direction.

How do you calculate beam load on a column?

2. Beam Load Calculation

  1. 230 mm x 450 mm excluding slab.
  2. Volume of Concrete = 0.23 x 0.60 x 1 =0.138m³
  3. Weight of Concrete = 0.138 x 2400 = 333 kg.
  4. Weight of Steel (2%) in Concrete = 0.138 x 0.02 x 8000 = 22 kg.
  5. Total Weight of Column = 333 + 22 = 355 kg/m = 3.5 KN/m.

What is the minimum value of eccentricity provided in columns?

What is the minimum value of eccentricity provided in columns? Explanation: No column can have a perfectly axial load. There may be some moments acting due to imperfection of construction or due to actual conditions of loading. Hence IS 456 -2000, recommend eccentricity of 20 mm.