Computing the second moment of area

Assignment Help Mechanical Engineering
Reference no: EM13137746

Calculating the Second Moment of Area

It is necessary to design a square-section composite bar that will withstand an applied load without deflecting more than a specified amount.The design specification for the bar, including its dimensions and loading criteria, is given below.

Using the formula below, calculate the second moment of area of the bar and use this to estimate the modulus of a composite material that will just meet the design specification.

The composite is made up of polymer fibres all aligned along the length of the bar combined with an epoxy matrix and each has the properties listed below. Estimate the minimum volume fraction of fibres that the composite must contain to meet the design specification.

Length: l= 0.5m

Thickness: a=10mm

Max deflection=2mm

Applied load: F=5kg at centre of the bar

Acceleration due to gravity:g =9.8m s(to power -2)

Second moment of area of a square section of side a: I=a(to power of 4)/12

Max deflection of beam of material modulus E=Fl(to power of 3)/48EI

Modulus of fibres: E fibre= 125GN m(to power -2)

Modulus of matrix: E epoxy= 3.5GN m(to power -2)

Reference no: EM13137746

Previous Q& A

  Optional request information

Optional request information can include: time or time window, connecting cities, client preferences, e.g., airlines, flight types, etc. the request can be narrowed to request availability for a specific airline, specific flight, or specific booking ..

  Different primary election structures

Discuss and compare the different primary election structures. Be sure to include the role of the runoff primary in some states.

  Provisions relating to the division of net income

Xavier and Yolanda have original investments of $50,000 and $100,000 respectively in a partnership. The articles of partnership include the following provisions regarding the division of net income: interest on original investment at 10%, salary a..

  What is talley pension expense to be recorded for year 8

what is talley's pension expense to be recorded for year 8? (hint the expected return on plan assets equals beginning of year plan assets times the settlement rate)

  Word paper that explains what an rfc (request for comment)is

Write a 500-word paper that explains what an RFC (Request For Comment) is, what an Internet Draft is, what organization produces these documents, and the process that is followed to produce these documents.

  What is joyce recognized gain or loss

Joyce's office building was destroyed in a fire (adjusted basis of $350,000; fair market value of $400,000). Of the insurance proceeds of $360,000 she receives.

  Turbomachinery - impulse and reaction turbines

Question about Turbomachinery - Impulse & Reaction Turbines, An impulse air turbine rotor with a blade speed (U) of 300 m/s is measured to have a relative rotor inlet velocity (W_1) of 750 m/s at an angle of 69 degrees and an outlet relative veloc..

  In what ratio is net income to be divided

Partner A has a capital balance of $20,000 and devotes full time to the partnership. Partner B has a capital balance of $30,000 and devotes half time to the partnership. In what ratio is net income to be divided?

  Separation of powers in united states government

What is the purpose of having a separation of powers? Why is this important to the form of government in the United States? Are there times when one branch has more power than another?

  What mass of magnesium chloride can be produced

Magnesium reacts with iron(III) chloride to form magnesium chloride and iron. 3Mg(s) + 2FeCl3(s) => 3MgCl2(s) + 2Fe(s)


Write a Review


Similar Q& A

  The dugdale model

Solve the problem in the image. Do it step wise in detail. This question is from book "Fracture Mechanics - An Introduction - E. Gdoutos Springer (Page 74)"

  Explain what is the tangential force

A spur gear has 48 teeth with a diametral pitch of 8 and a pressure angle of 20 deg. The face width is 0.75 inches. If the gear is transmitting 25 HP at 250 rpm

  Explain tensile force and corresponding normal stress

Determine the magnitude of tensile force and corresponding normal stress of a wire A 28-ft length of 0.25-in

  Steam enters the turbine of a simple vapor power plant

Steam enters the turbine of a simple vapor power plant with a pressure of 160 bar and a temp of 560 C and expands adiabatically to 0.08 bar

  Manufacturing processes-determine the velocity of shearing

Determine the velocity of shearing along the shear plane and the velocity of sliding at the tool-chip interface and find the work done per minute in shearing the metal and against the friction.

  Prepare the statement of financial position

Prepare the statement of financial position

  Evaluate the maximum theoretical power

Evaluate the maximum theoretical power that can be developed by the turbine, in kW, and the corresponding exit temperature.

  Find the needed length of the heated section

Find the needed length of the heated section of the tube and find the temperature of the water when it exits the heated section of the tube.

  Explain the maximum flow past a circular cylinder

The maximum flow past a circular cylinder is 2 X the Up stream velocity. The max velocity occurs at the center line of the top of the cylinder.

  Define geometric angle of attack

Geometric angle of attack, The Piper Cherokee has a wing area of 170 ft2 and a wing span of 32 ft. Its maximum gross weight is 2450 lbs. The wing uses a NACA 65-415 airfoil, which has a lift slope of 0.10331deg^-1 and alpha(L=0)= -3.0deg. Assume th..

  Find the maximum load on bevel gear and shaft

You have a bevel gear and shaft and you have to find the maximum load that can be applied on it.

  Drilling fluid engineering manual

Read the titled books Drilling Fluid Engineering Manual. Textbook prepared by M-I Drilling Fluids Co.,1998; Halliburton Cementing Tables. Casing and cement data tables prepared by Halliburton Company.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd