Proof dV/dx = minus w and dM/dx = V for shear force and bending moment diagrams Part 2

Proof dV/dx = minus w and dM/dx = V for shear force and bending moment diagrams Part 2

Assessment

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Engineering

University

Hard

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The video tutorial explains the derivation of the formula dm/dx = v(x) using calculus concepts. It begins with a recap of previous concepts and then proceeds to derive the formula by considering the sum of moments around a point in static equilibrium. The tutorial involves integration and simplification, applying the mean value theorem, and concludes with the final solution.

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4 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss the importance of integrating the moment due to a small slice of the distributed load.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how the mean value theorem is applied in this derivation.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens to the function g(c) as delta x approaches 0?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final conclusion regarding the rate of change of the bending moment?

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