Distance is a problem -- find shear force and bending moment diagram

  • #1
sHatDowN
52
7
Homework Statement
how to find distance between F to O
Relevant Equations
shear force and bending moment diagram
This is our sample problem

find shear force and bending moment diagram

1697919336685.png


after calculations supports reactions and drawing shear force diagram we have a problem ..... Distance between F to O

1697919475992.png
 
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  • #2
sHatDowN said:
Homework Statement: how to find distance between F to O
Relevant Equations: shear force and bending moment diagram

after calculations supports reactions and drawing shear force diagram we have a problem ..... Distance between F to O
This distance because of the we need area of the 2 part of shear force diagram to draw bending moment diagram
 
  • #3
Start from A and write the shear ##V## in the beam as a function of ##x##. What does ##V(x)## equal at the point in question? Slove for ##x##.
 
Last edited:

FAQ: Distance is a problem -- find shear force and bending moment diagram

What is a shear force diagram?

A shear force diagram is a graphical representation that shows how the internal shear force varies along the length of a beam. It is used to understand how the beam reacts to various loads and supports.

What is a bending moment diagram?

A bending moment diagram is a graphical representation that shows how the internal bending moment varies along the length of a beam. It helps in determining the points of maximum moment and is crucial for structural analysis and design.

How do you calculate shear force and bending moment at a given point?

To calculate the shear force at a given point, sum all vertical forces acting on one side of the point. To calculate the bending moment, sum the moments about the point due to all forces acting on one side. Positive shear forces and moments are typically defined by specific sign conventions.

What is the significance of the points where the shear force diagram crosses zero?

The points where the shear force diagram crosses zero are significant because they indicate locations of maximum or minimum bending moments. These points are critical for assessing the structural integrity and design of the beam.

How do boundary conditions and loads affect shear force and bending moment diagrams?

Boundary conditions (such as fixed, pinned, or roller supports) and loads (such as point loads, distributed loads, and moments) significantly affect the shape and values of shear force and bending moment diagrams. Different loading and support configurations will result in different internal force distributions within the beam.

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