In a cantilever beam, if the length is doubled while keeping the cross-section a

Question

In a cantilever beam, if the length is doubled while keeping the cross-section and the concentrated load acting at the free end the same, the deflection at the free end will be increased by (a) 2.66 times (b) 3 times (c) 6 times (d) 8 times A beam simply supported at the ends carries a uniformly distributed load at the mid span. If the span is doubled, the deflection at the mid span will become _____ times A simply supported beam carries a central concentrated load P. If the span of the beam is doubled the deflection at the mid span will become _____ times A cantilever type gate hinged at Q is shown in the figure. P and R are the centers of gravity of the cantilever part and the counterweight respectively. The mass of the cantilever part is 75 kg. The mass of the counterweight, for static balance, is (a) 75 kg (b) 150 kg (c) 225 kg (d) 300 kg

Explanation / Answer

16) The deflection at the free end due to concentrated load is proportional to L3 , where L is length of beam.If the length is doubled, the deflection at free end will be 23 = 8 times. Correct option is (d)

17)The deflection of simply supported beam subjected to uniformly distributed load is proportional to L4, where L is length of beam. If span is doubled, deflection becomes 24 =16 times

18)The deflection of simply supported beam subjected to concentrated load is proportional to L3, where L is length of beam. If span is doubled, deflection becomes 23 =8 times

19)For moment equilibrium , 75*20 = mass of counterweight * 0.5

mass of counterweight = 75*20/0.5 = 3000 kg

none of the options are correct.

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---