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?
To plot a beam deflection graph, you will need to first collect data on the deflection of the beam at various points. This can be done by using a measuring device such as a ruler or laser level. Once you have collected the data, you can plot it on a graph with the deflection on the y-axis and the distance along the beam on the x-axis.
The shape of a beam deflection graph is affected by several factors, including the material and dimensions of the beam, the load applied to the beam, and the support conditions of the beam. Other factors such as temperature and moisture can also play a role in the deflection of a beam.
Interpreting a beam deflection graph involves understanding the relationship between the load applied to the beam and the resulting deflection. A steeper slope on the graph indicates a larger deflection for a given load, while a flatter slope indicates a smaller deflection. The point at which the graph levels off is the maximum deflection of the beam.
A beam deflection graph is significant in understanding the structural behavior of a beam. It can help engineers and architects determine the appropriate size and material for a beam to support a given load. It can also be used to identify any potential weaknesses or flaws in a beam's design.
While a beam deflection graph can provide valuable information about the behavior of a beam, it cannot be used to predict failure on its own. Other factors, such as the strength and durability of the beam material, must also be considered when assessing the potential for failure. A beam deflection graph should be used as a tool in conjunction with other engineering principles to ensure the safety and stability of a structure.