The discussion revolves around plotting a graph of beam deflection across its length, with specific parameters such as Young's modulus and moment of inertia provided. Participants are exploring the relationship between bending moments and deflection using differential equations.
Some participants have provided insights into calculating bending moments and the implications for deflection. There is an ongoing exploration of methods to plot the deflection graph, with no clear consensus yet on the best approach.
Participants are discussing the need for numerical methods versus analytical solutions, and there is mention of specific values and equations relevant to the problem setup.
Do you know how to calculate M for the beam with the given loading?stackemup said:Homework Statement
I need to plot a graph showing the deflection of the beam across its length giving a value of x at every 1m.
The youngs modulus for the beam is 210 GNm^-2 and the moment of inertia is 54 X 10^-7 m^4
Homework Equations
Really unsure where to start on this one.
I have found the equation M/IE= (d^2 y)/(dx^2) but I am unsure where to go from hereThe Attempt at a Solution
It's not clear what you mean by 'internal moment'. The M which determines the deflection of the beam is the bending moment.stackemup said:I have calculated the bending moments at 1m intervals but I am not sure about calculating the internal moment?
You are asked to plot a graph. Does mean you are expected to do this numerically, rather than by solving a differential equation? I'll assume so.stackemup said:SteamKing, can you please advise where I need to progress to from this?