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Q: How does the Force vs extension graph for ductile materials look?
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How do you calculate the ratio of force to extension from the gradient of a graph?

The answer will depend on what variables are graphed!


What is the relationship between extension and mass?

Within a materials elastic limit, the extension of a uniform section (like a wire) will be proportional to the tensile load. The graph of load (mass) v extension will be a straight line


What is a compound bar graph?

A Compound Graph Is An Extension Of a Standard Graph.


What quantity does the gradient of a force against extension graph represent?

It is the force constant of the material in N/m. So you can substitute it into the equation F=kx (F=force, k=force constant or gradient in N/m, x = extension) You would expect the extension to be on the y-axis normally since it is the measured value. However since you want to use the graph to calculate certain values it is on the x-axis (you can also find the work done by the force by finding the area under the graph) Also it allows you to divide the y-axis values by the cross-sectional area and x-axis values by original length to get a stress vs strain graph where you can use the gradient to find the Young modulus of the material.


What does the area under a force-extension graph represent?

The area under a graph of force against distance (or extension, if it's a spring) represents the work done by that force. Since it sounds like you're talking about a spring, you should know that the area would represent the work done to stretch the spring that distance, and also represents the amount of elastic potential energy contained by the spring.


How do you improve proof stress in aluminium alloys?

aluminium doesnt have a definite yielding point like steel, in the force vs extension graph. Thus by convention engineers have sat down together and agreed to make 0.2% the offset. draw a line parallel to the linear proportionality obeying hookes law, make the extension intercept at 0.002 (0.2%) then see where this intersects with the graph, this will give you the yield strength of the material. materials like steel and ceramics don't require a proof stress however materials such as polymers, composites and non-ferrous metals (aluminium, copper) do.


How do you draw a momentum -time graph for force-time graph?

The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.


What is the difference between hard and tough?

In a stress-strain graph, hard materials have the steepest graph, owing to having the highest young modulus. This is because Hard materials resist a deformation, wether elastic or plastic. So initially the steepest graph in a stress-strain graph is the strongest.Tough materials withstand force, but they do not resist the deformation. The special thing in tough materials is that they can take in a lot of elastic potential energy. In a stress-strain graph, a Tough material has the highest area under curve.A material can be tough without having being hard. A material that is hard is not necessarily tough.


Why is the area under the curve for the force graph equal to the impulse?

It is not, if it is a graph of force against acceleration.


Why the yield point occur in the stress-strain graph of mild steel?

Once material is stressed. dislocations present in it starts to move and gather near grain boundary. These dislocation are repulsive in nature and resist further movement, hence yield point occurs. Once dislocations crosses the grain boundary, there is very less amount of force required to keep them moving, hence yield point phenomenon appears i.e. less amount of force is required.


Can work done be calculated by the gradient force-distance graph?

no, work done is the area under a force-distance graph


What does the slope of a force versus time graph indicate?

The slope of a force vs. time graph is equal to the change in momentum or the Impulse.