What is the moment of inertia of a uniform rod of mass m and length L?
Moment of inertia of a uniform rod of mass m and length l is 712ml2 about a line perpendicular to the rod.
What do you mean by parallel axis theorem?
The mass properties of a rigid body that is constrained to move parallel to a plane are defined by its center of mass R = (x, y) in this plane, and its polar moment of inertia IR around an axis through R that is perpendicular to the plane. which is known as the parallel axis theorem.
How do you find the lowest radius of gyration?
From Equation 1.8, the moment of inertia about the y-axis used to compute the minimum radius of gyration for a rectangular cross section is Iy = HB3/12.
What is the formula of slenderness ratio?
The slenderness ratio is defined as the ratio of length l to the radius of gyration k, represented as l/k. When the slenderness ratio exceeds a value of 100 for a strong slim column, failure by buckling can be expected. Columns of stiffer and more brittle materials will buckle at lower slenderness ratios.
What is slenderness ratio of a column?
The slenderness ratio of a reinforced concrete (RC) column is the ratio between the length of the column, its lateral dimensions, and end fixity. The slenderness ratio is calculated by dividing the column length by its radius of gyration. The slenderness ratio differentiates short column from long or slender column.
What is slenderness ratio of a compression member?
Explanation: The effective length of compression member when one end is fixed and other end is free is 2L, where L is the length of the member. Slenderness ratio of member is ratio of effective length to appropriate radius of gyration (λ = kL/r).
What is the maximum slenderness ratio for compression member?
0.7 times
When the slenderness ratio is more than 12 A column is known as?
If the ratio of the effective length of the column to its least lateral dimension is greater than 12 then it is called a long column. The effective length to least radius of gyration ratio is less than or equal to 40.
What is slenderness ratio of beam?
Slenderness ratio is defined as the ratio of effective length to the radius of gyration of beam. Sl ratio(Lamda)= L/r. Where r=I/A. I= moment of inertia. A= Area of beam.
What is slenderness effect?
Slenderness ratio is the ratio of the length of a column and the least radius of gyration of its cross section. The slenderness ratio of a column gives an indication of buckling failure in the column. More the slenderness ratio, more is the tendency of column to fail by buckling effect in that direction.
What is meant by slenderness?
noun. the quality of being slight or inadequate. “he knew the slenderness of my wallet” “the slenderness of the chances that anything would be done”
What is slenderness of column?
It is defined as where is the effective length of the column and is the least radius of gyration, the latter defined by where is the area of the cross-section of the column and is the second moment of area of the cross-section.
What is column action?
A beam is a flexural element with axial load less than 0.1Agf’c. So the main action is bending (bending stresses) and not the axial stresses. However, a column on the other hand is considered usually an axial member (compression or tension) carrying only axial stress (P/A) and this action is called column action.