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A cantilever of uniform strength σ, having rectangular section of constant breadth b but variable depth d is subjected to a UDL throughout its length. If the depth of the section is 150 mm at the fixed end, then what is the depth of the middle of the length of cantilever
  • a)
    150 mm
  • b)
    100 mm
  • c)
    75 mm
  • d)
    125 mm
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A cantilever of uniform strength σ, having rectangular section o...
A cantilever of uniform strength is a beam that is fixed at one end and extends horizontally, with a cross-sectional area that remains constant throughout its length. This means that the beam has the same strength and stiffness at every point along its length, making it ideal for supporting loads that are distributed evenly across its surface.

The strength of a cantilever beam is determined by its cross-sectional area, material properties, and length. The longer the beam, the greater the bending moment that it can withstand before it fails. The material properties of the beam, such as its modulus of elasticity and yield strength, also play a significant role in determining its strength.

A cantilever beam of uniform strength is often used in construction applications, such as in the design of bridges, buildings, and other structures. These beams can be made from a variety of materials, including steel, concrete, and wood, depending on the specific requirements of the project.

In summary, a cantilever of uniform strength is a strong and stable beam that can support loads evenly across its surface, making it a popular choice for many construction applications.
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Community Answer
A cantilever of uniform strength σ, having rectangular section o...
For a cantilever of uniform strength subjected to a uniformly distributed load (UDL), the depth d varies linearly along the length. This is because the bending moment, and therefore the stress, is maximum at the fixed end and zero at the free end.
Given that the depth at the fixed end is d1 = 150 mm, the depth d2 at the middle of the cantilever (which is half the length from the fixed end) would be half of d1:
So, the correct answer is � 75 mm.
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A cantilever of uniform strength σ, having rectangular section of constant breadth b but variable depth d is subjected to a UDL throughout its length. If the depth of the section is 150 mm at the fixed end, then what is the depth of the middle of the length of cantilevera)150 mmb)100 mmc)75 mmd)125 mmCorrect answer is option 'C'. Can you explain this answer?
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