• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month
  1. 1
  2. 2
  3. 3
  4. 4
  5. 5
  6. 6
  7. 7
  8. 8
  9. 9
  10. 10
  11. 11
  12. 12
  13. 13
  14. 14
  15. 15
  16. 16
  17. 17
  18. 18
  19. 19
  20. 20
  21. 21
  22. 22
  23. 23
  24. 24
  25. 25
  26. 26
  27. 27
  28. 28
  29. 29
  30. 30
  31. 31
  32. 32
  33. 33

Design of a Beam

Extracts from this document...


Stress Analysis PBL Design of a Beam Group 17 Abstract The report centred around the design of a beam to hold a load in a real-world scenario. First the topic is introduced, then the background theory and statistics of the materials are presented. The bulk of the calculations were performed by computer as presented in the discussion section but these were also performed by more theoretical methods to check the results were consistent. Various cross-sections are considered along with two different ways of mounting the beam along with the environmental and financial advantages of the particular materials. The report then concludes based on the findings presented in the discussion that the load should be distributed on a mild steel beam with an "I" shaped cross-section. Contents 1. Abstract Page 2 2. Introduction Page 3 3. Background Theory Page 4 4. Calculations Stress Page 9 Cross Section Page 21 5. Discussion Stress Page 25 Cross Section Page 28 Safety Factors Page 20 Environment Page 30 6. Conclusions Page 31 7. Final Design Page 32 8. References Page 33 Introduction When designing a supportive structure of any kind upon which a load will be applied, there are many things to consider, which fall into two main categories - the specification of the structure and the types of forces that the structure will experience. The structure itself must be able to fulfil the criteria given in order to support the applied load. The list of criteria usually includes: * Shape - dimensions, shape of cross-sectional area * Material - hardness, stiffness, durability, chemical composition, life span, ability to resist environmental damage (e.g. corrosion). * Cost - Is the design feasible? Will using cheap material affect the support capability of the structure? Does the complexity of the design affect the cost? * Safety - what Health and Safety factors need to be taken into consideration? If the structure is external, will weather-related safety factors need to be considered? ...read more.


Shear force and Bending moment diagram is as follows for concentrated: V (figure 13) M (figure 14) Shear force and Bending Moment is calculated for Distributed load In this case load intensity it taken as 12.5kNm. Load is uniformly distributed in 2m of the beam. It is assumed for calculation of reaction force that load of 25kN will be acting at 2m from. 25kN 4m 1m (figure 15) Resolving forces in horizontal direction There are no forces other than horizontal provided by the pin joint. Therefore= 0 Resolving forces in vertically direction To find the vertical reactions and moment about point A is calculated. 4= 50kNm =12.5kN Therefore = 12.5kN Shear force is calculated as follows * Cut is imagined at 1m from (figure 16) * Cut is imagined at 2m from 1.5m 0.5m (figure 17) * Cut imagined at 3m from 12.5kN/m 1m 2m (figure 18) 25kN 2m 1m (figure 19) * Cut imagined at 4m from 12.5kN/m 1m 2m 1m (figure 20) 25kN 2m 2m (figure 21) * Cut imagined at 5m from V (figure 22) M (figure 23) Bending stress is calculated using formula given below. = Bending stress M = Maximum moment = Moment of inertia y = thickness/2 Bending stress is calculated for the concentrated load M = 25kNm = = = b = breath of the beam b = 5m = 5000mm d = depth of the beam = 0.4m = 400mm = = y = y = 200mm for Distributed load. Bending stress is calculated for the concentrated load M = 18.75kNm = = = b = breath of the beam b = 5m = 5000mm d = depth of the beam = 0.4m = 400mm = = y = y = 200mm Cross Section Euler's Buckling Theorem allows us to determine theoretically the load that can be applied to a beam before it deforms by bending. ...read more.


High temperature: can cause the material began to expand its structure byand. If the expansion is too large, then fatigue will occur and crack produced. Corrosion environment is the atmosphere. Moisture containing dissolved oxygen is the primary corrosive agent. [5] Metallic corrosion is classified into eight forms uniform, galvanic, crevice, pitting, intergranular, selective leaching, erosion-corrosion and stress corrosion. Aluminium is less corrosive than the steel because of its oxide layer that acts as physical barriers to corrosion. Conclusions * A mild steel beam deflects less than an aluminium beam when carrying the same load. * Both mild steel and aluminium have a safety factor co-efficient that is greater than 1, demonstrating their suitability for this scenario. * Aluminium has an environmental advantage over mild steel as an oxide layer acts as a barrier to corrosion. * Mild steel costs much less than aluminium per kg (figure 4). Although both materials have their own advantages, based on the discussions in this report and the group's opinion that price is the most important factor, mild steel was selected as the material of choice for the beam in the final design. * For both materials, a beam subjected to a distributed load deflects less than one subjected to a point load (if the screen in the scenario were supported by some type of pillar). Of the two designs, the design where the screen was attached to the beam itself was chosen as this can be modelled as a distributed load. * A rectangular block cross-section is slightly more efficient than a hollow rectangular cross-section. * An "I" cross-section is a good deal more efficient than either a solid or hollow rectangular cross-section. * A beam based on either the hollow rectangular or "I" cross-sections uses less material and will hence cost less in terms of the raw materials and will have a lower mass increasing the beam's safety For these reasons the "I" beam was chosen as the cross-section of choice. Final Design Based on the conclusions above, this report finds that the following design should be put forward to the contractor for their approval. ...read more.

The above preview is unformatted text

This student written piece of work is one of many that can be found in our University Degree Engineering section.

Found what you're looking for?

  • Start learning 29% faster today
  • 150,000+ documents available
  • Just £6.99 a month

Not the one? Search for your essay title...
  • Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

See related essaysSee related essays

Related University Degree Engineering essays

  1. Project Management Theory and practice

    13. Inspection-Measuring and Test Equipments: I. The purpose of the procedures out lined in this section to ensure the accuracy of instruments and equipments used for setting out the works, inspecting and testing the materials used in the permanent works and inspecting and testing completed works II.

  2. Surface Material Choice, Environmental Considerations and Work Schedules for a Motorway widening project.

    Design works to avoid utilities where possible b) Divert utilities before works commence c) Notes to be added to drawing warning of risks. PAVEMENTS Method statement METHOD STATEMENT NO. 9 Operation Adding new lane, replacing surface course of existing hard shoulder and central reserve. Duration 5 weeks per phase Details of Work Where full depth pavement has been

  1. Floating crane design. The following report presents an over view of a floating ...

    3.842 408.2862 2.2347357 1.1173679 4.5791282 0.3799564 0.349254 543000 3470288 4013287.8 1568.52 3.834 409.1017 2.2391993 1.1195997 4.5949175 0.3587409 0.325543 551000 3470288 4021287.8 1568.52 3.826 409.9172 2.2436629 1.1218314 4.610644 0.3376187 0.302529 559000 3470288 4029287.8 1568.52 3.819 410.7327 2.2481264 1.1240632 4.626308 0.3165892 0.280182 567000 3470288 4037287.8 1568.52 3.811 411.5482 2.25259 1.126295 4.64191 0.2956519

  2. Coefficient of Linear Expansion of a Metal

    100 0.975 3min 40s 100 0.75 100 0.895 100 0.725 100 0.975 3min 50s 100 0.75 100 0.895 100 0.725 100 0.96 4min 100 0.75 100 0.9 100 0.725 100 0.965 4min 10s 100 0.75 100 0.9 100 0.725 100 0.965 4min 20s 100 0.75 100 0.9 100 0.725 100

  1. Determination of the Valency of Magnesium

    The water in the burette was left for 10 minutes and any leakage was checked. 2. A piece of magnesium ribbon was cleaned with sand paper. The ribbon was then cut off with a pair of scissors and it was weighed between 0.0300 and 0.03600 grams on an Analytical balance with a watch glass.

  2. Pulling things appart - The following experiment was designed to determine some of the ...

    The cross-sectional areas of each of the samples were calculated from their widths and thicknesses, which each possess an uncertainty of ?0.002 cm. The load cell used to measure stress produced sudden variations on the order of 5 newtons when a strain was applied, implying that it has an uncertainty of ?5 newtons.

  1. Field Report - Surveying

    also add up to one-hundred and eighty degrees using the reduced direction angles. Station A = 55°94'45.00" 55°94'45.00" Station B = 47°69'80.00" 47°69'80.00" Station C = 76°37'50.00" + 76°37'50.00" Sum of angles A, B and C = 180°01'75.00" As you can see from the calculation above, the sum of the three angles did not add up to 180°00'00.00".

  2. Thermofluid Mechanics and Mechanical Design lab report

    3. The blow is started up by the air speed 20 m/sec. 4. From the lab manual, we knew that the Fx and Fy is read as drag and lift.

  • Over 160,000 pieces
    of student written work
  • Annotated by
    experienced teachers
  • Ideas and feedback to
    improve your own work