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A cantilever beam of span ‘l’ and uniform flexural rigidity ‘EI’ is loaded with an upward force ‘W’ at the mid point and downward force ‘P’ at the free end. The deflection at the free end will be zero if 
  • a)
    W = 3P/2
  • b)
    W = 2P
  • c)
    W = 16P/5
  • d)
    W = 5P
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A cantilever beam of span ‘l’ and uniform flexural rigidit...

Upward deflection at B due to load W,

Downward deflection at S due to load P,

For no deflection at B,

⇒ W = 16P/5
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A cantilever beam of span ‘l’ and uniform flexural rigidit...
A cantilever beam of span is a type of structural element that is commonly used in construction and engineering projects. It is a beam that is supported on only one end, while the other end is left free to hang or extend into space.

The span of a cantilever beam refers to the distance between the fixed support and the free end. It is the length of the beam that is unsupported and protrudes into space.

Cantilever beams are used in a variety of applications, including bridges, balconies, and building structures. They are designed to withstand loads and forces that are applied to them, such as the weight of people, vehicles, or equipment.

The design of a cantilever beam takes into account factors such as the material properties, the expected loads, and the required strength and stiffness. Engineers use mathematical equations and computer simulations to determine the optimal dimensions and shape of the beam to ensure that it can safely support the desired loads without excessive deflection or failure.

In summary, a cantilever beam of span refers to a structural element that is supported on one end and extends into space without any additional support. It is an important component in many construction and engineering projects and is designed to withstand loads and forces applied to it.
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A cantilever beam of span ‘l’ and uniform flexural rigidity ‘EI’ is loaded with an upward force ‘W’ atthe mid point and downward force ‘P’ at the free end. The deflection at the free end will be zero ifa)W = 3P/2b)W = 2Pc)W = 16P/5d)W = 5PCorrect answer is option 'C'. Can you explain this answer?
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A cantilever beam of span ‘l’ and uniform flexural rigidity ‘EI’ is loaded with an upward force ‘W’ atthe mid point and downward force ‘P’ at the free end. The deflection at the free end will be zero ifa)W = 3P/2b)W = 2Pc)W = 16P/5d)W = 5PCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A cantilever beam of span ‘l’ and uniform flexural rigidity ‘EI’ is loaded with an upward force ‘W’ atthe mid point and downward force ‘P’ at the free end. The deflection at the free end will be zero ifa)W = 3P/2b)W = 2Pc)W = 16P/5d)W = 5PCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cantilever beam of span ‘l’ and uniform flexural rigidity ‘EI’ is loaded with an upward force ‘W’ atthe mid point and downward force ‘P’ at the free end. The deflection at the free end will be zero ifa)W = 3P/2b)W = 2Pc)W = 16P/5d)W = 5PCorrect answer is option 'C'. Can you explain this answer?.
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