It is parabolic, or second order:
M = q x squared/2
An excellent software to view the profiles of Shear force & Bending moment diagrams.
http://www.mdsolids.com/
Max BM for a cantilever would be @ the point of support and would be equal to WL/2 where W=wL Max BM for a cantilever would be @ the point of support and would be equal to WL/2 where W=wL Edit- As said above the max bending moment for a cantilever will be at the supportFor a distributed load M=wL2/2 where w=the fractured distributed load and L= the leaver arm For a point loadM=PL where P=the point load and L= the leaver arm *Having a cantilever means you will have reinforcing in the top of the beam/slab till a distance after the beam
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
assuming the point load acts in the centre, take the value under it as P*L / 4 where P=point load (kN) L=length between supports if its not in the middle, take it as P*a*b / 8 a=dist from left hand support to load b=dist from right hand support to load thanks, Abdul wahab The " in not in the middle formula" is incorrect. Your Welcome Paul
Parabolic, max moment at midspan of value wL^2/8 where w is the distributed load and L the length of the beam.
Shear force in a cantilever beam at the support due to a concentrated load is equal to the magnitude of the concentrated load (or sum of the loads) regardless of their position along the beam. Shear force in a cantilever beam increases linearly from zero at the free end to a magnitude of (wL) at the support, where w is the uniform load and L is the length of the beam.
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.
w(l^2)/8 w = 38N l = 5m
Max BM for a cantilever would be @ the point of support and would be equal to WL/2 where W=wL Max BM for a cantilever would be @ the point of support and would be equal to WL/2 where W=wL Edit- As said above the max bending moment for a cantilever will be at the supportFor a distributed load M=wL2/2 where w=the fractured distributed load and L= the leaver arm For a point loadM=PL where P=the point load and L= the leaver arm *Having a cantilever means you will have reinforcing in the top of the beam/slab till a distance after the beam
I assume this is a cantilever beam with one end fixed and the other free, the load starts at the free end and continues for 4.5 m if w is the load distribution then it has a force at centroid of 4.5 w acting at distance of (6.5 - 4.5/2 )from the end, or 4.25 m The max moment is 4.5 w x 4.25 = 19.125
Cry man, cry!
When a cantilever beam is continuously loaded and released from mean position, in one direction only, it is called unidirectional bending, but when it is loaded alternately, first in one direction and then in the opposite direction from mean position, then it is called reversed bending.
A cantilever has only one end or point fixed; this is an obvious difference between having two points or both ends fixed. The nature of bending moment is same throughout the span in the case of a cantilever beam whereas a fixed beam has both types of nature, i.e. sagging as well as hogging.
in order to distribute the load uniformly from top to bottom and to increase the thickness at the region where maximum bending can occur.
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
You can find these diagrams online. A simple image search can help to bring them up and you can choose the one that best meets your needs.
assuming the point load acts in the centre, take the value under it as P*L / 4 where P=point load (kN) L=length between supports if its not in the middle, take it as P*a*b / 8 a=dist from left hand support to load b=dist from right hand support to load thanks, Abdul wahab The " in not in the middle formula" is incorrect. Your Welcome Paul
Parabolic, max moment at midspan of value wL^2/8 where w is the distributed load and L the length of the beam.