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For a loaded cantilever beam of uniform cross-section, the bending moment (in N-mm) along the length is M(x) = 5x2 + 10x, where x is the distance (in mm) measured from the free end of the beam. The magnitude of shear force (in N) in the cross-section at x = 10 mm is ________.
  • a)
    110
  • b)
    120
  • c)
    130
  • d)
    150
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
For a loaded cantilever beam of uniform cross-section, the bending mom...
To determine the magnitude of the shear force at a specific location along the length of a loaded cantilever beam, we can use the equation relating the shear force and the rate of change of the bending moment.

The equation is given as:
V(x) = dM(x)/dx

Given that the bending moment equation is:
M(x) = 5x^2 - 10x

Let's differentiate the bending moment equation with respect to x to find the rate of change of the bending moment:

dM(x)/dx = d/dx (5x^2 - 10x)
= 10x - 10

Now, substitute the value of x = 10 mm into the derived expression to find the magnitude of the shear force at x = 10 mm:

V(10) = 10(10) - 10
= 100 - 10
= 90 N

Therefore, the magnitude of the shear force at x = 10 mm is 90 N.

However, none of the given options match this result. Therefore, it seems that there might be an error in the options provided.
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For a loaded cantilever beam of uniform cross-section, the bending mom...
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For a loaded cantilever beam of uniform cross-section, the bending moment (in N-mm) along the length is M(x) = 5x2 + 10x, where x is the distance (in mm) measured from the free end of the beam. The magnitude of shear force (in N) in the cross-section at x = 10 mm is ________.a)110b)120c)130d)150Correct answer is option 'A'. Can you explain this answer?
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