If bending moment on a point b in horizontal plate is m and in vertica...
Net Bending Moment in Horizontal and Vertical Planes
Introduction
When a load is applied to a plate, it causes the plate to bend. The bending moment is the measure of the bending force that is applied to the plate. The bending moment is different in the horizontal and vertical planes. When both horizontal and vertical bending moments are present at a point, the net bending moment can be calculated.
Horizontal Bending Moment
The horizontal bending moment is the bending moment that is applied to the plate in the plane parallel to the plate's surface. It is calculated by multiplying the force by the distance from the force to the point of interest. The unit of measurement is Newton meters (N-m).
Vertical Bending Moment
The vertical bending moment is the bending moment that is applied to the plate in the plane perpendicular to the plate's surface. It is calculated by multiplying the force by the distance from the force to the point of interest. The unit of measurement is Newton meters (N-m).
Net Bending Moment
To calculate the net bending moment at a point, the horizontal and vertical bending moments are added together. The net bending moment is the vector sum of the two moments.
If the horizontal bending moment is denoted by Mh and the vertical bending moment is denoted by Mv, then the net bending moment can be calculated using the following formula:
Net Bending Moment = √(Mh²+Mv²)
The unit of measurement is Newton meters (N-m).
Conclusion
In conclusion, the bending moment on a point in a plate can be in the horizontal and vertical planes. To calculate the net bending moment at a point, the horizontal and vertical bending moments are added together using the formula above. The net bending moment is the vector sum of the two moments. Understanding the net bending moment is important in the design of structures and mechanical systems.