PhanthomJay said:
That is correct, because the bending moments are about the horizontal neutral axis and shears are along the y axis. If the moments were about the vertical neutral axis (loading into the plane of the screen) then you would have to consider Iyy. This is not the case here.foo9008 said:
I defined y-axis as the axis that is up , which is not into the book ...PhanthomJay said:
The formula for moment of inertia in shear stress is I = (b * h^3) / 12, where b is the width of the object and h is the height of the object.
Moment of inertia measures an object's resistance to changes in rotation. In the context of shear stress, moment of inertia is used to calculate the shear stress distribution along an object's cross-sectional area.
Moment of inertia is important in engineering because it helps engineers understand how objects will respond to applied forces and torques. It is particularly useful in analyzing the strength and stability of structures under different loading conditions.
Moment of inertia is typically measured in units of length squared, such as meters squared (m^2) or inches squared (in^2). In some cases, it may also be expressed in terms of a mass or area multiplied by a length squared, such as kilograms-meters squared (kg-m^2) or pounds-inches squared (lb-in^2).
For complex shapes, moment of inertia can be calculated by breaking the object down into smaller, simpler shapes and using the parallel axis theorem to find the moment of inertia for each component. These individual moments of inertia can then be summed together to find the total moment of inertia for the entire object.
