How to find a Shear Force Diagram (SFD) of a Simple Beam
https://bendingmomentdiagram.com/tutorials/calculation-shear-force/
Very nice explanation
A shearing force occurs when a perpendicular force is applied to static material (in this case a beam)
Shear force intuitive explanation: Think of a knife cutting through a carrot. Imagine the beam is the carrot and a point load is the knife. As the knife applies a downward force, it cuts (or shears) the carrot. These forces occur along numerous points of a beam, and it is important to determine where these shears are at the greatest points as this may be where a beam fails.
If there is an upward force (i.e a support) then the SFD will start at this force above the x-axis. If there is a downward point load and no support, than the shear force diagram will start as a negative at the value of the point load.
Things to keep in mind:
The area under the SFD above the x axis should equal the area between the x-axis and the SFD below the x axis. i.e the area should sum to zero. Check this is true in our above example.
Any points where the SFD cross the x-axis, will be a max or min Bending Moment
The SFD should always equal zero at both ends
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How to Calculate the Bending Moment Diagram of a Beam
https://bendingmomentdiagram.com/tutorials/how-to-find-bending-moment-diagrams/
(1) the standard units are Nm and (2) clockwise bending is taken as negative.
Make a "cut" just after the first reaction of the beam.
So, when we cut the beam, we only cosider the forces that are applied to the left of our cut.
Since our beam is static (and not rotation) it makes sense that our beam should have zero moment at this point when we consider all our forces. It also satisfies one of our initial conditions, that the sum of moments at a support is equal to zero. NOTE: If your calculations lead you to any other number other than 0, you have made a mistake!
https://bendingmomentdiagram.com/tutorials/calculation-shear-force/
Very nice explanation
A shearing force occurs when a perpendicular force is applied to static material (in this case a beam)
Shear force intuitive explanation: Think of a knife cutting through a carrot. Imagine the beam is the carrot and a point load is the knife. As the knife applies a downward force, it cuts (or shears) the carrot. These forces occur along numerous points of a beam, and it is important to determine where these shears are at the greatest points as this may be where a beam fails.
If there is an upward force (i.e a support) then the SFD will start at this force above the x-axis. If there is a downward point load and no support, than the shear force diagram will start as a negative at the value of the point load.
Things to keep in mind:
The area under the SFD above the x axis should equal the area between the x-axis and the SFD below the x axis. i.e the area should sum to zero. Check this is true in our above example.
Any points where the SFD cross the x-axis, will be a max or min Bending Moment
The SFD should always equal zero at both ends
+++
How to Calculate the Bending Moment Diagram of a Beam
https://bendingmomentdiagram.com/tutorials/how-to-find-bending-moment-diagrams/
(1) the standard units are Nm and (2) clockwise bending is taken as negative.
Make a "cut" just after the first reaction of the beam.
So, when we cut the beam, we only cosider the forces that are applied to the left of our cut.
Since our beam is static (and not rotation) it makes sense that our beam should have zero moment at this point when we consider all our forces. It also satisfies one of our initial conditions, that the sum of moments at a support is equal to zero. NOTE: If your calculations lead you to any other number other than 0, you have made a mistake!
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