You will meet the equations describing bending beams in the module but do not need to...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
You will meet the equations describing bending beams in the module but do not need to know their derivation to be able to answer this question. The deflection, d, is described by the following equation; 8 = FL³ 3EI Where E is the Young's modulus of the material and / is the second moment of area, which for a square section beam is: I = 64 12 Answer the following questions ensuring that you show all of your workings so that your calculations can be followed and understood. Work throughout to three significant figures. a. Including all your workings, show that the objective equation for the mass of the cantilever beam is m = = 6² Lp. (2 marks) b. Show that the constraint equation is given by d 4FL³ E64 (3 marks) c. Use the objective and constraint equations from parts a. and b. of this question to define an equation for the mass, m, of the beam by eliminating all free variables. (5 marks) d. Separate the variables of the combined equation into functional F, geometric G and materials M groupings. In your answer, show the combined equation clearly identifying the F, G and M groupings. (2 marks) e. From your answer to part d. of this question, define an appropriate merit index for the material selection process. Define the axes you would adopt on an Ashby chart to be able to use your merit index, and state, with a reason, whether the merit index should be maximised or minimised. You will meet the equations describing bending beams in the module but do not need to know their derivation to be able to answer this question. The deflection, d, is described by the following equation; 8 = FL³ 3EI Where E is the Young's modulus of the material and / is the second moment of area, which for a square section beam is: I = 64 12 Answer the following questions ensuring that you show all of your workings so that your calculations can be followed and understood. Work throughout to three significant figures. a. Including all your workings, show that the objective equation for the mass of the cantilever beam is m = = 6² Lp. (2 marks) b. Show that the constraint equation is given by d 4FL³ E64 (3 marks) c. Use the objective and constraint equations from parts a. and b. of this question to define an equation for the mass, m, of the beam by eliminating all free variables. (5 marks) d. Separate the variables of the combined equation into functional F, geometric G and materials M groupings. In your answer, show the combined equation clearly identifying the F, G and M groupings. (2 marks) e. From your answer to part d. of this question, define an appropriate merit index for the material selection process. Define the axes you would adopt on an Ashby chart to be able to use your merit index, and state, with a reason, whether the merit index should be maximised or minimised.
Expert Answer:
Answer rating: 100% (QA)
a To show that the objective equation for the mass of the cantilever beam is m bLp we need to substitute the given equations into the objective equati... View the full answer
Related Book For
Auditing Cases An Interactive Learning Approach
ISBN: 978-0133852103
6th edition
Authors: Mark S. Beasley, Frank A. Buckless, Steven M. Glover, Douglas F. Prawitt
Posted Date:
Students also viewed these business writing questions
-
How does Keller define corporate gospel renewal? when many members of a business organization experience gospel renewal together, and begin attending the same church as a result. A season in which a...
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
Read the case study and answer the question below with a one page response. What does a SWOT analysis reveal about the overall attractiveness of Under Armours situation? Founded in 1996 by former...
-
Granite Corp. sent a check to Overseas Equipment Co. When the check was reported lost, Granite wrote to its bank telling it to stop payment on the check. Granite then sent the money to Overseas...
-
Briefly summarize the evidence regarding how well debt ratings work?
-
You are working at an aircraft manufacturing plant on an altitude sensor that eventually will be used to retrofit dozens of similar sensors on an upgrade to a current airframe. You are required to...
-
You may have heard that moss grows on the north sides of treesthis is good to remember if you are lost in the woods! Why do mosses do best on the north side?
-
Prepare journal entries to record the following selected transactions of Ridge Company. Mar. 21 Accepted a $ 9,500, 180- day, 8% note dated March 21 from Tamara Jackson in granting a time extension...
-
Two countries are capable of producing beans and whiskey. The first country, Absurdistan, can produce beans at a cost $15.00 per ton, and whiskey for $5.00 per barrel. The second country, Mongolia,...
-
b) Given the following reactions draw a p-pH diagram for aluminium. Assume a concentration of 10-6 M for Alt. For purposes of drawing the water oxidation and reduction lines, assume H2 and O2 each...
-
You plan to deploy Azure SQL Database for MySQL. What type of encryption at rest is available for Azure Database for MySQL?
-
What role does reflexivity play in social constructionist research methodologies, as researchers critically examine their own subjectivities, biases, and positionalities in relation to the subjects...
-
Rush Corporation plans to acquire production equipment for $612,500 that will be depreciated for tax purposes as follows: year 1, $122,500; year 2, $212,500; and in each of years 3 through 5, $92,500...
-
Could you discuss the role of fault tolerance mechanisms such as checkpointing and task replication in mitigating job failures and ensuring data integrity within large-scale batch processing...
-
Explain why forward and futures contracts may have different risks, despite both instruments allowing financial market participants to buy or sell in future periods. What features and mechanisms...
-
(a) Determine the orthogonal trajectories of the family of electric field lines described by the family (x- c) + y? - c2(3x- c) = x. (b) Find the complete solution of the differential equation y" +...
-
In a nonmagnetic medium, E = 50 cos (10 9 t 8x) a y + 40 sin (10 9 t 8x) a z V/m find the dielectric constant r and the corresponding H.
-
Conduct an Internet search to locate a copy of the SarbanesOxley Act of 2002. Read and summarize the requirements of Section 302 of the Act. Discuss how those provisions would or would not have...
-
What can professionals do to overcome the confirmation tendency?
-
Three conditions are often present when fraud exists. First, management or employees have an incentive or are under pressure, which provides them a reason to commit the fraud act. Second,...
-
Which of these statements regarding the origin of life is false? (a) Life originated on an Earth whose atmosphere contained high levels of oxygen. (b)Miller and Urey obtained amino acids and other...
-
The primary problem with the hypothesis that life on Earth originated on Mars is that (a) Mars has never had water. (b) the proposed Martian fossils are much smaller than the tiniest bacteria on...
-
If you put a heavy load in a wheelbarrow, the force you apply to the handles is much less than the weight of the load and the wheelbarrow. To lift with the least force, you put the load toward the...
Study smarter with the SolutionInn App