Is My Solution for a Simply Supported Beam Correct?

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In summary, a simple supported beam is a commonly used structural element that is supported on both ends by pins or rollers. Its main components include the beam itself, supports, and additional load, and its properties are determined by length, depth, and material composition. The maximum load it can bear depends on various factors and it offers advantages such as simplicity, cost-effectiveness, and flexibility in modification.
  • #1
AutumnBeds
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Hi, wondering if any can have a look a the below to see if my working outs are correct.

Thanks.

1. Homework Statement

Determine the two support reactions at positions ‘A’ and ‘B’ for the following simply supported beam which is acted on by a uniformly distributed load (UDL) and two point loads.

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Homework Equations



N/A

The Attempt at a Solution



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  • #2
Looks correct to me. A good check is to see if the moments add to zero about a different origin.
 

What is a simple supported beam?

A simple supported beam is a structural element that is supported on both ends by pins or rollers, allowing for rotation but not translation. It is one of the most common and basic types of structural beams used in construction and engineering projects.

What are the main components of a simple supported beam?

The main components of a simple supported beam include the beam itself, the supports at each end, and any additional load or weight applied to the beam. The beam may also have other elements such as braces or reinforcement depending on the specific design and purpose.

What are the key properties of a simple supported beam?

The key properties of a simple supported beam include its length, depth, and material composition. These factors determine the strength and stiffness of the beam, as well as its ability to resist bending and other forces.

What is the maximum load that a simple supported beam can bear?

The maximum load that a simple supported beam can bear depends on its dimensions, material properties, and the type of load being applied. Engineers use mathematical equations and modeling techniques to calculate the maximum load a beam can withstand without failing.

What are the advantages of using a simple supported beam?

One of the main advantages of a simple supported beam is its simplicity and ease of construction. It is also a cost-effective option compared to other types of beams. Additionally, a simple supported beam can easily be modified or reinforced to increase its load-bearing capacity.

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