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A beam is subjected to bending moment M. What is the relationship between shear force F and bending moment M?

AM=d2Fdx2M = \frac {d^2F}{dx^2}

BM=dFdxM = \frac {dF}{dx}

CF=d2Mdx2F = \frac {d^2M}{dx^2}

DF=dMdxF = \frac {dM}{dx}

Answer:

F=dMdxF = \frac {dM}{dx}

Read Explanation:

The rate of change of bending moment at any section is equal to shear force at that section. i.e., F=dMdxF = \frac {dM}{dx}

Related Questions:

When the shear force at a section of a beam under bending is zero, the bending moment at that section is either a maximum or a minimum. This is because the shear force is a measure of the rate of change of the bending moment. When the shear force is zero, the bending moment is either at its peak or at its trough.

For a simple case of a simply supported beam experiencing a point load at its center, which of the following equilibrium conditions hold?At any point on the beam:

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  2. The algebraic sum of vertical forces acting on the beam is zero
  3. The algebraic sum of horizontal forces is always negative (less than zero)
  4. The total acceleration experienced by the beam is zero
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    Determine the value of shear force at point A in the figure shown below.

    image.png