Question

A cantilever of rectangular cross-section has a

length of 50 cm. its breadth is 3 cm and

thickness 0.6 cm. a weight of 1 kg is attached at

the free end. The depression produced is 4.2 cm.

calculate Young’s modulus of the material of the

bar. (g=9.8m/sec

2

)​

Answer 1

Answer:

Length of cantilever, L=50cm=0.5m

Deflection at the end w(L)=15mm

Find: Deflection w(x) at 30cm from rigid end.

Depression at a point in a cantilever beam with load at one end is given by,w(x)=

6EI

Px

2

(3L−x)

We have,

w(L)

w(x)

=

3EI

PL

3

6EI

Px

2

(3L−x)

w(0.5m)

w(0.3m)

=

3EI

P(0.5)

3

6EI

P(0.3)

2

(3(0.5)−0.3)

This gives, w(0.3m)=6.48mm