Application of Intergation Project Assignment

STRUCTURAL BEAM DEFLECTION

ABSTRACT

The problems bending of beams are the most probably occurs rather than other loading in many physical application and mechanical design. In term of Physics and Engineering, bending or deflection is the amount of structural being displaced under loads which referring to some correlated parameters. For example, application such as shaft, bracket, and bridge beam, axles, lever and many structural applications to be examined for assessment and evaluation. The deflection need to be measured for their application purpose.

At this point of view, the deflection aforementioned is directly related to the slope of a member under load and it can be calculated by integrating the slope’s function of a member under the load. The theoretical formula and equation for moment, displacement and slopes has been identified. Equation derivation and application problem solving was clearly justified the methodological approach to the actual problem was really possible and practicable.

PROBLEM STATEMENT

To determine and validate the equation for the moment, slope and deflection of the simply-supported beam application, also the slopes at the ends and maximum deflection.

OBJECTIVE

This project aims to:

  1. Derive formula and apply mathematical integration to determine structural beam deflection under load.
  2. Validate the theoretical equation with application analyses based on different variable.
  3. Identify the maximum and minimum deflection.

 INTRODUCTION

Supported Beam

Application: Supporting structural, frame, ladder, shaft, bracket, and bridge beam, axles and lever.

Picture2

Figure 1.0: Simply-supported beam with uniform load 

A supported beam at both ends has a uniform distributed load W along the beam, as shown in Figure 1.0 above. A beam of length is loaded by uniform load per meter of beam length. Converting distributed load to concentrated load P = WL.

METHODOLOGY

The approach has been taken to measure and analyze the two different variable which is modulus of elasticity E, Aluminium Alloy and Carbon Steel and second moment of area I, under the same condition of structural and loading parameter.

Picture1

Figure 1.1: Simply-supported beam application model.

Results:

Picture1 Picture3 Picture2

CONCLUSION

Derivation of mathematical integration for moment, deflection, slopes and maximum deflection has reached the whole agreement for structural under the load. Modulus of elasticity and second moment of area are the variables that roles to the structural performance and strength. Identification of maximum and minimum deflection describes the range of application level under the operations.

CONTRIBUTION OF THE PROJECT

  1. Beneficiaries for calculation deflection characteristic on structural.
  2. Help to determine the materials for application purpose.
  3. Evaluate and analyses on structural performance and strength.

REFERENCES

Richard G. Budynas, 2008, Shigley’s Mechanical Engineering Design, Mc Graw Hill, 1221 avenue of the Amaricas, New York.

Serope Kalpakjian, 2006, Manufacturing Engineering and Technology 5th Edition, Pearson prantice hall, Jurong Singapore.

Gere, James M.; Goodno, Barry J. Mechanics of Materials (Eighth ed.). p. 1083-1087. ISBN 978-1-111-57773-5

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s