Applied Physics I: Chapter 1: Properties of Matter - Elasticity
Cantilever
Definition and Theory
A cantilever is a beam fixed horizontally at one end and loaded at the other end.
CANTILEVER
Cantilever
A
cantilever is a beam fixed horizontally at one end and loaded at the other end.
THEORY
Let
us consider a beam fixed at one‒end and loaded at its other free end as shown
in Fig 1.9.
Due
to the load applied at the free end, a couple is created between the two
forces.(i.e)
(i)
Force (load 'W') applied at the free end towards downward direction and
(ii)
Reaction (R) acting in the upward direction at the supporting end.
This
external bending couple tends to bend the beam in the clockwise direction. But,
since one end of the beam is fixed, the beam cannot rotate. Therefore the
external bending couple must be balanced by another equal and opposite couple,
created due to the elastic nature of the
body (i.e) called as internal bending moment.
∴ Under equilibrium
condition,
External bending moment = Internal bending
moment
Applied Physics I: Chapter 1: Properties of Matter - Elasticity : Tag: Applied Physics : Definition and Theory - Cantilever
Applied Physics I: Chapter 1: Properties of Matter - Elasticity
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