Engr. Nahid Shahzad

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Simply Supported Beam | Engineering Mechanics Experiment#5

 

         EXPERIMENT NO.5

OBJECTIVE:

The purpose of the experiment is to determine support reactions of a Simply Supported Beams.

APPARATUS:

Weight Balance, hanger, weights, ruler.




Figure 5.1: Simply Supported Beam

THEORY:

One common example of parallel forces in equilibrium is that of a beam, because in most cases the forces are vertical weights due to gravity. Hence the beam supports will develop vertical reactions to carry the weights on the beam, and the self-weight of the beam itself.

For a beam on two supports there will be the two unknown reactions, so two equations of equilibrium must be set up. It is necessary to start by taking moments about a convenient point; if this point is at a reaction then there is only one unknown force (the other reaction) in the equation. The second reaction can then be found from vertical equilibrium.

 

PROCEDURE:

Step#1: Calculate self-weight of the beam.

Step#2: Adjust the weighing balances to zero with the help of by adjusting screw.

Step#3: Record the reactions observed on the balance scale independently. The sum of the reaction will give the self-weight of the beam.  



Calculate the reactions on the beam due to external/applied loads:

Step 1: Adjust the weighing balance to zero by adjusting screw, when the beam is placed in the positions.

(a) As shown in figure 5.2

(b)As shown in figure 5.3

Step 2: Apply the point load with the help of steel hook in hanging position:

o Mid-span of the beam (Figure 5.2) o L/3 distance (Figure 5.3)

Step#3: Record the value of R1 and R2 on the balance scale provided on the both edges for the two loading conditions.


 




  o   Now apply two point loads

      At L/3 distance (Figure 5.4)

      At different distance (Figure 5.5)

o   Record the value of R1 and R2 on the both edges when three point loads are applied. 


o   Now apply three point loads

      At L/4 distance (Figure 5.6)

      At L/6 from both edge (Figure 5.7)

o   Analytically calculate R1 and R2 for one, two and three-point load respectively keeping the same distances.

 

 

OBSERVATIONS:



CALCULATIONS:

Solve all the six cases for analytical results and also plot shear force and bending moment diagram of all the six cases on paper and using Microsoft Excel.

PRECAUTIONS:

1.         Accuracy of weighing scale.

2.         Horizontal beam should be maintained and remained throughout the experiment particularly when load application and measurement of reactions are made.

CONCLUSION:

Discuss 

      The change in value of R1 and R2 when one, two and three point loads are applied.

      The ratio of load transfers on both side when the distance changes from both end.

 

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