Load and deflection (beam experiment)

[student 123]

Homework Statement

hi, iv just got a few questions and I am hoping someone can help me:)

1) so the relationship between load and deflection is liner but how can i explain it further?
2) and I am not sure about the relationship between deflection and span?
3) and what happens to bending moment as the span is increased?

i know all of them can be defined in one sentence of two but i will be greaful if someone can explain this to me in detail,

Homework Equations

The Attempt at a Solution

my attempt not sure if its correct:
The load and deflection are directly proportional to each other which tells us if either load is changed it will have a direct effect on deflection and vice versa.
When calculating the bending moment distance between forces and direction are taken into account, as the span is increased the bending moment also increases.

Like load and deflection span and deflection also share a liner relationship

 

[Chestermiller]

Much of this assessment is correct. But the load deflection is definitely not a linear function of the span. Typically, the deflation with be proportional to the span to the 3rd power.