Calculating Beam Moment: Equation for Couple Acting on Supported Beam

In summary, a beam is a structural element that resists bending and supports loads. A couple acting on a beam refers to two equal and opposite forces causing a twisting effect on the beam. The units of measurement for a couple acting on a beam are newton-meters or pound-feet. The magnitude of a couple acting on a beam is affected by the forces' magnitude, distance, and direction. A couple acting on a beam is different from a single force, as it causes rotational rather than linear effects and does not produce translational motion. Real-world applications of couple acting on a beam include engineering, construction, mechanics, and physics, as it helps explain rotational motion and object stability.
  • #1
dantiff
1
0

Homework Statement


Hi I have a beam that is supported at one end and at the other has a point moment (couple) acting on it at the end point. I was wondering the follwing equation is correct for the moment at any point on the beam.

M= Cx/L

Where M is the moment, C is the force of the couple, x is the location where the moment is wanted and L is the length of the beam?

Thanks
Dan
 
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  • #2
Why would you think that?
 
  • #3
Draw a shear/moment diagram. (hint, the moment can only vary if there is shear).
 

What is a beam and how does it relate to couple acting?

A beam is a structural element that supports loads by resisting bending. A couple acting on a beam refers to two equal and opposite forces acting on the beam at separate points, causing a twisting or rotational effect on the beam.

What are the units of measurement for a couple acting on a beam?

The units for a couple acting on a beam are typically expressed in newton-meters (N∙m) or pound-feet (lb∙ft).

What factors affect the magnitude of a couple acting on a beam?

The magnitude of a couple acting on a beam is affected by the magnitude of the forces, the distance between the forces, and the direction of the forces.

How does a couple acting on a beam differ from a single force acting on a beam?

A couple acting on a beam causes a twisting or rotational effect, while a single force acting on a beam causes a linear or bending effect. Additionally, a couple does not produce any translational motion, whereas a single force may cause the beam to move in a specific direction.

What are some real-world applications of couple acting on a beam?

Couple acting on a beam is a common phenomenon in engineering and construction, where beams are used to support structures and resist external forces. It is also a key concept in mechanics and physics, as it helps explain the rotational motion of objects. Additionally, couple acting on a beam is important in understanding the stability and balance of objects, such as in the case of bridges and cranes.

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