It is the center of the beam, if the beam is supported at both ends.
If we use a light weighted material offered no resistance then the beam deflects as per the diagram.
The strength, S, of the beam is Mc/I where M = max moment to fail = PL/4 for load concentrated in the middle of the beam or WL/8 for uniformly distributed load. Here P is the concentrated load, W = distributed load, c = distance to outer fiber from neutral axis and I the area moment of inertia of the beam. L = length Solving for load maximum, P = 4IS/Lc for concentrated center load W = 8IS/Lc for distributed load
Picture a beam cantilevered out from a wall with a weight hung off the outer end. The place it would need to resist bending the most is right next to the wall
the part of beam which has maximum section modulus should take more load for more strength.
It is the center of the beam, if the beam is supported at both ends.
It depends on the loading conditions of the beam, it will generally occur close to the middle of the span.
bending moment varies with the distance & the load carried by the beam. And also there is a hogging behavior and a sagging behavior occurs in the beam. According to the sign convention hogging and sagging bears opposite signs.(- & +). So if we are asked to find the maximum bending moment whether it is sagging or hogging we should consider the maximum value without considering the sign. That value is called maximum absolute bending moment.
When a cantilever beam is loaded with a Uniformly Distributed Load (UDL), the maximum bending moment occurs at the fixed support or the point of fixation. In other words, the point where the cantilever is attached to the wall or the ground experiences the highest bending moment. A cantilever beam is a structural element that is fixed at one end and free at the other end. When a UDL is applied to the free end of the cantilever, the load is distributed uniformly along the length of the beam. As a result, the bending moment gradually increases from zero at the free end to its maximum value at the fixed support. The bending moment at any section along the cantilever can be calculated using the following formula for a UDL: Bending Moment (M) = (UDL × distance from support) × (length of the cantilever - distance from support) At the fixed support, the distance from the support is zero, which means that the bending moment at that point is: Maximum Bending Moment (Mmax) = UDL × length of the cantilever Therefore, the maximum bending moment in a cantilever beam loaded with a UDL occurs at the fixed support. This information is essential for designing and analyzing cantilever structures to ensure they can withstand the applied loads without failure.
Take a beam as an example. Moment is responsible for a beam to rotate about some axis. Whereas bending moment are a pair of moments which will not rotate the beam but it will deflect it.
moment
Moment of resistance, ususally denoted as W is a term in structural engineering. It is found from the moment of inertia I and the distance from the outside of the object concerned to its major axis e. W = I/e It is used in structural calculations since the stress can be written as stress=moment/W It really works much better with graphical explanation which i unfortunately can't add in simple moment of resistance means couple produce when a beam subjected to bending under the action of loads.
Moment of resistance, ususally denoted as W is a term in structural engineering. It is found from the moment of inertia I and the distance from the outside of the object concerned to its major axis e. W = I/e It is used in structural calculations since the stress can be written as stress=moment/W It really works much better with graphical explanation which i unfortunately can't add in simple moment of resistance means couple produce when a beam subjected to bending under the action of loads.
when our demand is more than capacity then designer prefers to choose doubly reinforced beam .for example your maximum moment is greater than nominal momentthen doubly reinforced beam is used.
If we use a light weighted material offered no resistance then the beam deflects as per the diagram.
it will depend upon the load and moment applied on the beam.
Bending moment is the same throughout the beam.