Max Load Force on Uniform Pine Beam of 3.6m & 25kg | Safety Factor 5.0

In summary, the conversation discusses the calculation of the maximum load force that can be exerted on a uniform pine beam without shearing it at its supports. This involves using the equation F= 1/5 x A x Maximum stress and incorporating a safety factor of 5.0, which represents the strength of the beam compared to the required strength. The first step involves multiplying the load force by 1/5 to account for the safety factor. The concept of safety factor is important in engineering to ensure the structural integrity and safety of a design.
  • #1
Neon32
68
1

Homework Statement


A uniform pine beam, 3.6 m long and 9.5 cm x 14 cm in cross section, rests on two supports near its ends, as shown. The beam’s mass is 25 kg and two vertical roof supports rest on it, each one-third of the way from the ends. What maximum load force FL can each of the roof supports exert without shearing the pine beam at its supports? Use a safety factor of 5.0.

Homework Equations

The Attempt at a Solution



Answer sheet:
F= 1/5 x A x Maximum stress

I just don't understand the first step. Why did I multiply it by 1/5? And what does safety factor mean?
 
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  • #2
Safety factor is how many times stronger the member is than it needs to be.
 

1. What is the maximum load force that can be applied to a uniform pine beam of 3.6m and 25kg?

The maximum load force that can be applied to a uniform pine beam of 3.6m and 25kg is 1250 kg (25kg * 5.0 safety factor).

2. How is the safety factor of 5.0 determined for this beam?

The safety factor of 5.0 is determined by taking into account the maximum weight the beam can safely hold without breaking or deforming, and then dividing it by the expected load force. This ensures a margin of safety in case of unexpected or excessive loads.

3. Can the maximum load force vary for different types of wood or beams?

Yes, the maximum load force can vary for different types of wood or beams. It is important to consult engineering and safety standards specific to the type of wood and beam being used to determine the appropriate safety factor and maximum load force.

4. Is the length of the beam a factor in determining the maximum load force?

Yes, the length of the beam is a factor in determining the maximum load force. Longer beams may have a lower maximum load force due to the increased potential for bending and stress on the material.

5. How can the maximum load force be tested and verified for this beam?

The maximum load force can be tested and verified for this beam by conducting a load test. This involves applying increasing amounts of weight to the beam until it reaches the maximum load force, while monitoring for any signs of deformation or failure. It is important to follow proper safety protocols and consult with an engineer before conducting any load tests.

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