Table of Contents
What are Ixx and Iyy?
Ixx : the moment of inertia of a body along the horizontal axis passing through the centroid of the body. Iyy : the moment of inertia of a body along the vertical axis passing through the centroid of the body.
What is Ixx formula?
The moment of inertia is also known as the Second Moment of the Area and is expressed mathematically as: Ixx = Sum (A)(y2) In which: Ixx = the moment of inertia around the x axis. A = the area of the plane of the object.
What is the weak axis of an I beam?
Determining Section Modulus and Moment of Inertia Axis Y-Y means that the Y-Y axis on the diagram is the neutral axis, and corresponds to the beam working in its weaker orientation. This is typcically called the Weak Axis orientation.
What is the relation between moment of inertia and deflection of beam?
Deflection formulae will show that the deflection is inversely proportional to the area moment of inertia (I). Moment of Inertia In structural design, a mathematical property of the cross section of a beam or column relating to stiffness, which is used chiefly to compute Deflection.
What is the first moment of area used for?
The first moment of area of a shape, about a certain axis, equals the sum over all the infinitesimal parts of the shape of the area of that part times its distance from the axis [Σad]. First moment of area is commonly used to determine the centroid of an area.
What moment of inertia is used for beam deflection?
Area Moment of Inertia or Moment of Inertia for an Area – also known as Second Moment of Area – I, is a property of shape that is used to predict deflection, bending and stress in beams.
What is the relationship between the maximum beam deflection and the modulus of elasticity?
Inversely related: as maximum deflection increases, modulus of elasticity decreases and vice versa.
What is moment of inertia in beams?
The Area Moment Of Inertia of a beams cross-sectional area measures the beams ability to resist bending. The larger the Moment of Inertia the less the beam will bend. The moment of inertia is a geometrical property of a beam and depends on a reference axis.