Bending of beams pdf

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Murugan Raja. Download Download PDF. Translate PDF. Abstract: In this experiment we will analyze the effect of a load on a beam. Beam bending is quite a common experiment carried in mechanical engineering and aerospace design.

This experiment uses a simple support beam on which loads are applied at different positions. The following load causes a deflection of the beam which is measured by using a clock gauge, positioned at the middle of the beam. Two test are considered in the experiment in which five cases are considered, in which the position of the load being applied changes.

Introduction: a. Background: The theory of the beam bending is now a days attributed towards Bernoulli and Euler, but it was initially developed over years ago.

The correct formula was eventually was derived by Antoine Parent in who positively assumed a central neutral axis and linear stress distribution of tensile at the top to be equal and opposite to the compression at the bottom[1].

Experiment: This experiment was done to calculate the deflection of the beam when a certain load was applied on the beam. In case 1, the load was applied in the middle of the beam. In case 2, the load was applied at the quarter length of the beam to cause deflection. Theoretically and experimentally it was shown that the cases 1 and 2 are in superposition with case 3, in case 4 and 5 the deflections and 2nd moment of area are calculated theoretically by alternating the depths and breadths.

In the experiment there was a percentage error but de to being small it was easily ignored. It is assumed to be rigid [2]. The Euler—Bernoulli equation describes the relationship between the beam's deflection and the applied load [2]. Procedure and Apparatus: a. Apparatus: i. Simple beam ii. Support stand iii. Digital caliper iv.

Weights v. Clock gauge vi. Measuring tape b. Procedure: i. The depth and breadth of the beam are noted by the help of the digital caliper. The full length of the beam is noted by the measuring tape. Case 1 is followed first individual weights from 5 kg to 40 kg are placed on the support stand in the middle of the beam. The deflection is noted by the help of clock gauge after the weights are applied.

Case 2 is followed by the end of case 1 values being noted, in which the weights are placed on the quarter length of the beam, and the deflection is noted by clock gauge.