Use a sketch to illustrate what cantilever bending is and give an everyday example of it.
(b) use a sketch to illustrate what three-point bending is and give an everyday example of it.
(c) For each of the two beams shown below:
(i) calculate the maximum magnitude of the bending moment
(ii) calculate the maximum magnitude of the shear force
(iii) draw a bending moment diagram
(iv) draw shear force diagram
(a) Cantilever bending is a type of bending where a beam or structure is supported at one end and has a load applied to the other end. Here is a sketch illustrating cantilever bending:
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An everyday example of cantilever bending is a diving board. The support end is fixed to the edge of the swimming pool, and when a person jumps onto the other end, the board bends under the applied load.
(b) Three-point bending is a type of bending where a beam or structure is supported at two points and has a load applied at a third point in between. Here is a sketch illustrating three-point bending:
__________ --- Load
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Support 1 ------ Beam ----- Support 2
An everyday example of three-point bending is a see-saw. The two supports at either end provide the reaction forces, while the person sitting in the middle applies the load.
(c) Since you haven't provided any diagrams or dimensions for the beams, I'm unable to calculate the maximum magnitude of the bending moment, maximum magnitude of the shear force, and draw the bending moment and shear force diagrams. These calculations and diagrams require the specific dimensions and structural properties of the beams.