Finding shearing force and moment

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Discussion Overview

The discussion revolves around understanding the calculation of shearing forces and moments in a beam under various loads. Participants are examining specific points along the beam and questioning the reasoning behind the values of shearing forces and moments at those points, as well as the methodology used in the calculations.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions the distance used for the 129kN force in the calculations for specific intervals, suggesting it should be the distance from the force to the point of moment.
  • Another participant clarifies that the moment arm from a point x to the 192kN force is x-2, based on the origin's position at x=0.
  • There is confusion regarding the shearing force at x=6, with participants questioning why it remains 49kN instead of being zero.
  • Participants inquire about the presence of two values of shearing forces at x=2, with one participant explaining that this is due to the reaction RA being located at that point, causing a sudden jump in values.
  • Some participants seek clarification on the cumulative nature of shear force and bending moment values, with one stating that they are integrals of the load and shear curves, respectively.
  • There is a discussion about the nature of the shear force diagram, with a participant explaining that it shows discontinuities at concentrated loads, indicating jumps in shear force values.

Areas of Agreement / Disagreement

Participants express differing views on the calculations and interpretations of shearing forces and moments, indicating that multiple competing perspectives remain unresolved. There is no consensus on the correct approach to the problem.

Contextual Notes

Participants have not fully resolved the assumptions regarding the calculations and the definitions of terms used in the discussion. The discussion includes various interpretations of the shearing force and moment diagrams, which may depend on specific definitions and contexts.

foo9008
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Homework Statement


i couldn't understand why the author take the distance of force 129kN for 4<x<6 and 6<x<8 is x-2 ?

Homework Equations

The Attempt at a Solution


IMO , for 4<x<6 , the distance of force 129kN to the point should be x , where x is the distance from the 129kN to the point of moment , correct me if i am wrong [/B]
 

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is the author wrong ?
 
The black dot on the left end of the x-axis is the origin (x=0), so the moment arm from x (the point about which the moment is being calculated) to the 192kN force is x-2.
 
David Lewis said:
The black dot on the left end of the x-axis is the origin (x=0), so the moment arm from x (the point about which the moment is being calculated) to the 192kN force is x-2.
one more thing , why at x = 6 , the shearing force is still 49kN as in the calculation ? why shouldn't it be = 0 ?
 
why at x = 2 , there are 2 values of shearing forces , namely -40kN (0<x<2) and 89kN (2<x<4) ?
 
foo9008 said:
why at x = 2 , there are 2 values of shearing forces , namely -40kN (0<x<2) and 89kN (2<x<4) ?
Because the reaction RA is located at x = 2. As you move along the beam from left to right, the shear force has a sudden jump from V = -40 kN to V = 89 kN, as the reaction RA = 129 kN is added.
 
foo9008 said:
one more thing , why at x = 6 , the shearing force is still 49kN as in the calculation ? why shouldn't it be = 0 ?
Why should the shear be zero at x = 6?

The shear force and the bending moment values are each cumulative starting at the left end of the beam. If there is no additional load applied to the beam, the shear force at a particular point will not be changed.
 
SteamKing said:
Because the reaction RA is located at x = 2. As you move along the beam from left to right, the shear force has a sudden jump from V = -40 kN to V = 89 kN, as the reaction RA = 129 kN is added.
sudden jump means there are 2 values of RA at x =2 ? why ?
 
can you explain why The shear force and the bending moment values are each cumulative starting at the left end of the beam.??
 
  • #10
foo9008 said:
can you explain why The shear force and the bending moment values are each cumulative starting at the left end of the beam.??
Because they are each integrals. The shear force is the integral of the load curve w.r.t. length, and the bending moment is the integral of the shear curve, also w.r.t. length.

The following slides explain this in more detail:

http://www.ce.memphis.edu/3121/notes/notes_04c.pdf
 
  • #11
foo9008 said:
sudden jump means there are 2 values of RA at x =2 ? why ?
No, there is only one value of RA, namely RA = 129 kN.

The shear force diagram is a plot of just the shear force values acting on the beam. When a concentrated load is encountered, such as one of the beam reactions or an applied load, the shear force diagram will show a jump discontinuity at that location. The size of the discontinuity = the magnitude on the concentrated force.
 
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  • #12
This is an example shear force and bending moment diagram for a simple beam. It is plotted in its entirety so that you can look at the entire diagram at once, and not a series of confusing snippets:


fig52bsfbm.gif

 

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