How Do You Solve a Uniform Cantilevered Beam Problem?

In summary, the conversation is about solving a problem involving a uniform cantilevered beam with specific dimensions and forces. The first step is to draw a free-body diagram and then calculate the force and moment from the wall. The person also attached a picture for reference. The problem is similar to the experience of holding a heavy book straight out, where the forces and torques are balanced between the body and the weight. The solution will involve finding the balance between the torques and forces from the beam and the weight of the beam and the wall.
  • #1
shah4u19
3
0
How do you go about doing this problem?

For the uniform cantilevered bean 5 m long, which weighs 5N supporting a 10N force at the end, draw the free-body-diagram and calculate the force and moment from the wall.

I also attached a picture.
http://tinypic.com/r/k1c8ax/6

Thanks.
 
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  • #2
Any ideas on how to start?
 
  • #3
draw a free body diagram?
 
  • #4
shah4u19 said:
How do you go about doing this problem?

For the uniform cantilevered bean 5 m long, which weighs 5N supporting a 10N force at the end, draw the free-body-diagram and calculate the force and moment from the wall.

I also attached a picture.
http://tinypic.com/r/k1c8ax/6

Thanks.

Hold a heavy book straight out for 10 minutes.

Your "frame" supplies a vertical force at the shoulder socket which counters the weight force of the book and your arm. Your shoulder muscles supply a torque to your arm which counteracts the torques from your arm weight and the book weight. In your problem you have two torques and two weights which equal some torque and some force supplied by the wall.
 

1. What is a uniform cantilevered beam?

A uniform cantilevered beam is a type of structural element that is supported at one end and carries a load or weight at the other end. It is typically used in construction, engineering, and physics to demonstrate concepts of structural analysis and mechanics.

2. How is a uniform cantilevered beam different from other types of beams?

A uniform cantilevered beam differs from other beams in that it is fixed at one end and free at the other, whereas other beams may be supported at both ends or have intermediate supports. This results in different stress and strain distributions throughout the beam, which can affect its strength and stability.

3. What factors affect the strength and stability of a uniform cantilevered beam?

The strength and stability of a uniform cantilevered beam can be affected by several factors, including the material properties of the beam (such as its modulus of elasticity and yield strength), the dimensions of the beam (such as its length and cross-sectional area), and the type and magnitude of load applied to the free end.

4. What are some real-world applications of uniform cantilevered beams?

Uniform cantilevered beams have many practical applications in engineering and construction, including in the design of bridges, buildings, and other structures. They are also commonly used in mechanical and civil engineering experiments to study the behavior of different materials and structures under load.

5. How can the stress and deflection of a uniform cantilevered beam be calculated?

The stress and deflection of a uniform cantilevered beam can be calculated using various mathematical equations and principles, such as the Euler-Bernoulli beam theory and the moment-area method. These calculations take into account the material properties, dimensions, and loading conditions of the beam to determine its structural behavior.

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