Moments and shear force diagram

The left support will have a reaction of 6.544kN and the right support will have a reaction of 13.456kN. The shear-force diagram shows a maximum shear force of 16.456kN at 10m from the left end and a minimum shear force of -13.456kN at the right end. In summary, we discussed calculating support reactions, drawing a shear-force diagram, and determining the max and min shear force for a beam with a uniformly distributed load and concentrated loads at each end.
  • #1
harold42
1
0
Hi
Can someone please help me with this problem:

A beam is 16m long and rests on two supports, 10m part. the right support is 4m from the right-hand end. The beam carries a uniformly distributed load of 408 kg/m between the two supports and concentrated loads of 2kN at the left end, 0,153 tons at a point 1.4m from the left and 4kN at the right end.
1. calculate the reaction of the two supports
2. draw a shear-force diagram showing all the main values.
3. determine the max and min shear force from the diagram.
 
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  • #3
To calculate support reactions, I convert the distributed load to a concentrated load.
 

1. What is a moment in a shear force diagram?

A moment in a shear force diagram represents the tendency of a force to rotate an object about a specific point or axis.

2. How is a shear force diagram different from a bending moment diagram?

A shear force diagram shows the variation of shear force along a beam, while a bending moment diagram shows the variation of bending moment along a beam.

3. How do you determine the direction of shear force in a shear force diagram?

The direction of shear force can be determined based on the sign convention used, where positive shear force is upward and negative shear force is downward.

4. What causes shear force in a beam?

Shear force in a beam is caused by external loads applied perpendicular to the beam's longitudinal axis, such as point loads or distributed loads.

5. How do you interpret a shear force diagram?

The shear force diagram shows the magnitude and direction of shear force at different points along the beam. The point where the shear force is zero is typically where the bending moment is maximum.

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