RELATION BETWEEN DEFLECTIONS AND APPLIED LOADS

TO INVESTIGATE RELATION BETWEEN DEFLECTIONS AND APPLIED LOADS

Scope

RELATION BETWEEN DEFLECTIONS AND APPLIED LOADS experiment covers the recording of deflection in beams by varying weights and comparing the measurement with that of the theoretical expressions.

Significance

Theoretical deflections can be different from the measured values due to simplified assumptions made in the theory. Comparing the theoretical values with the measured values gives an idea about the deviation.

Apparatus

Model of the beam, Weight, Deflection gauge, and weight hangers.

Procedure

Take the beam model and place it on the table. It should be kept horizontally and firmly.

  • Record the length of the beam and also the dimensions of the cross-sections.
  • Set the deflection gauge at a point where deflection is to be measured.
  • Make the reading of the deflection gauge‚Äôs dial indicator to zero before applying the load on the bar.
  • Now apply the load with the help of weight hangers.
  • Record the loaded weight.
  • Now record the deflection of that point. During recording the deflection first of all the smaller dial of the gauge should be read as it shows the number of complete turns which the dial has rotated, one complete rotation will be equal to 1mm, then the main dial of the gauge should be read. Each division of the main dial is equal to 0.01mm.
  • In addition, also record deflection at any other point on the beam.
  • Record the location of that point, and also the location of the new load and its value.

CASE # 1

RELATION BETWEEN DEFLECTIONS AND APPLIED LOADS, beam deflections

Cantilever beam

  • One end is fixed and the other is free.
  • Note the deflection by dial gauges at unsupported length and at any specified point in between by varying loads at least twice.

Observations and Calculations

  • Moment of inertia of the beam= I = bh3/12
  • Deflection of the point with theoretical expression.
  • b = __________   ,   h = _________  , L  = _______

CASE # 2

RELATION BETWEEN DEFLECTIONS AND APPLIED LOADS
  • One end is fixed and other is Roller and load as at center.
  • Note the deflection by dial gauges at any two specified points in between by varying loads at least twice and measuring the distance from supports.

Observations and Calculations

Where x = Distance from fixed support to the point of interest.

                v = Distance from roller support to the point of interest. The End of RELATION BETWEEN DEFLECTIONS AND APPLIED LOADS for more experiments and civil engineering related content please visit our blog page.

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