Why Is the Maximum Moment Under the 1.5k Load in Beam Analysis?

In summary, the author is discussing the maximum moment that occurs under the 1.5k load and why only the forces 2k and 1.5k need to be considered when looking at the left part of the beam. The author explains that the 4.5k load is the resultant sum of the applied loads and cannot be double counted. They also mention that making an imaginary cut after the 1k load is not the point of absolute maximum moment and that the best way to determine the magnitude and location of the maximum moment is to draw a shear and moment diagram. The author did not know beforehand which load would control for the maximum moment and had to check both the 1.5k and 2k load
  • #1
fonseh
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2

Homework Statement


For the maximum moment occur under the 1.5k load , why when we consider the left part of the beam, we just need to consider the forces 2k and 1.5k only ?

Homework Equations

The Attempt at a Solution


How about FR = 4.5k and also the 1k ?
Cant i just consider all of them ? That's means i make an iamginary cut after the 1k load ...
 

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  • #2
fonseh said:

Homework Statement


For the maximum moment occur under the 1.5k load , why when we consider the left part of the beam, we just need to consider the forces 2k and 1.5k only ?
if you look carefully, those are not the forces used when making an imaginary cut
of the left section at a plane just left of the 1.5k load, which is the assumed location of the absolute maximum moment.

Homework Equations

3. The attempt at a
How about FR = 4.5k and also the 1k ?
the 4.5k load is the resultant sum of the applied loads, so you must not double count these loads.
Cant i just consider all of them ? That's means i make an iamginary cut aftr the 1k load ...
but a cut after the 1k load is not the point of absolute maximum moment.

The best way in my opinion to determine the magnitude and location of the absolute maximum moment and shear is to draw a shear and moment diagram.
 
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  • #3
PhanthomJay said:
if you look carefully, those are not the forces used when making an imaginary cut
of the left section at a plane just left of the 1.5k load, which is the assumed location of the absolute maximum moment.
do you mean we just need to make an imaginary cut up to 1.5 k because the author assume the max moment will occur under the 1.5k load ?
 
  • #4
fonseh said:
do you mean we just need to make an imaginary cut up to 1.5 k because the author assume the max moment will occur under the 1.5k load ?
yes
 
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  • #5
PhanthomJay said:
but a cut after the 1k load is not the point of absolute maximum moment.

The best way in my opinion to determine the magnitude and location of the absolute maximum moment and shear is to draw a shear and moment diagram.
Actually how did the author know that the absolute max moment occur under the 1.5k load ? why not the 1k load or 2k load ? Why did the author didnt show the calculation for the 1k load ?
 
  • #6
fonseh said:
Actually how did the author know that the absolute max moment occur under the 1.5k load ? why not the 1k load or 2k load ? Why did the author didnt show the calculation for the 1k load ?
Author did not know. The point of max moment occurs under one of the concentrated loads near the resultant location. The author had to check both the 1.5 and 2k load locations to find out which controlled for max moment. The moment at the 1k load point did not have to be checked because it was not near the resultant.
 
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Related to Why Is the Maximum Moment Under the 1.5k Load in Beam Analysis?

What is absolute max shear and moment?

Absolute max shear and moment refer to the maximum shear force and bending moment that a structural element experiences at a specific point. These values represent the highest possible load that the element can withstand without failure.

Why is it important to determine the absolute max shear and moment?

Determining the absolute max shear and moment is crucial in structural engineering as it helps ensure the safety and stability of a structure. By knowing these values, engineers can design and construct structures that can withstand the maximum expected loads.

How is absolute max shear and moment calculated?

Absolute max shear and moment can be calculated using mathematical equations and formulas that take into account the type of structural element, the applied loads, and the support conditions. Computer software programs are also commonly used to determine these values.

What factors can affect the absolute max shear and moment of a structural element?

The absolute max shear and moment of a structural element can be affected by various factors, including the type and magnitude of applied loads, the structural material and its properties, the geometry and dimensions of the element, and the support conditions.

How can absolute max shear and moment be controlled or reduced?

To control or reduce absolute max shear and moment, engineers can make changes to the design, such as altering the geometry or dimensions of the structural element, using different materials with higher strength, or providing additional support. Additionally, proper maintenance and inspection can help prevent excessive loads and potential failures.

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