QuestionQuestion

Transcribed TextTranscribed Text

Structural Failure due to Fire 1. Steel-reinforced concrete pillars are used in the construction of large buildings. Structural failure can occur at high temperatures due to fire because of softening of the metal core. Consider a 200-mm- diameter composite pillar consisting of a central steel core of 100 mm diameter surrounded by 50 mm thick concrete. Assume a thermal contact resistance of R =0.20 m² K/W at the concrete-steel interface. The pillar is at a uniform initial temperature of Ti = 300 K and is suddenly exposed to combustion products at T. = 2000 K, h = 100 W/m². K on the concrete outer surface. The surroundings temperature is also at 2000 K. Steel properties are ks = 50 W/m.K, P. = 8000 kg/m³, C, = 500 J/kg. K.; Concrete properties are: ke = 0.75 W/m.K, Pc = 2300 kg/m³, C = 650 J/kg.K. and E = 0.9 With Ar = 5 mm and At = 100s, write a Matlab program to solve the temperatures at the cell center using Implicit finite-volume method. Express your finite-volume equations in terms Fourier number a.At h.Ar ( Fo= ) and Biot's number Bi ) whenever possible. Ax' k Your report must contain the following items: a. Write an executive summary containing following topies: a brief statement of the problem; summary of your findings; Any suggestion to improve the structural safety of a building during a fire. b. Derive the equations for the implicit FV method for the following cells: (1) A general concrete cell, say cell 15. (2) Cell that faces convective and radiative ht transfer from the surroundings (cell 20) (3) Cell that has a face coincides with the concrete-steel interface (cell 10, cell 11) c. Plot the temperature of the steel at cell 10 with R" -0 and R" -0.20 for0< t 10,000 seconds. d. Plot the temperature of the steel at cell 10 for g=0 and E -0.9 for OS t 10,000 seconds e. your actual MATLAB program (as an attachment to your email)

Solution PreviewSolution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice. Unethical use is strictly forbidden.

    By purchasing this solution you'll be able to access the following files:
    Solution.pdf and Solution.m.

    $90.00
    for this solution

    or FREE if you
    register a new account!

    PayPal, G Pay, ApplePay, Amazon Pay, and all major credit cards accepted.

    Find A Tutor

    View available Mechanical Engineering Tutors

    Get College Homework Help.

    Are you sure you don't want to upload any files?

    Fast tutor response requires as much info as possible.

    Decision:
    Upload a file
    Continue without uploading

    SUBMIT YOUR HOMEWORK
    We couldn't find that subject.
    Please select the best match from the list below.

    We'll send you an email right away. If it's not in your inbox, check your spam folder.

    • 1
    • 2
    • 3
    Live Chats