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Optimization of C-Section Beam Under Flexural Loading Conditions

This document outlines the optimization process for a C-section beam design using a baseline model characterized by parameters including a 9 in. web, 3 in. flange, ½ in. lips, and a section area of 1.088 in² with a yield strength of 50 ksi. The beam undergoes pure flexural loading with pin supports at 96 in. Key performance metrics including moment capacities (Mcrl, Mcrd, Mcre) and various load responses are evaluated. Competitors are challenged to develop the optimal beam design while adhering to set constraints, ensuring maximum efficiency and performance.

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Optimization of C-Section Beam Under Flexural Loading Conditions

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  1. Section Optimization Competition

  2. Baseline model • C-section • 9 in. web, 3 in. flange, ½ in. lips t=0.068 in. • fy = 50 ksi • A = 1.088 in2 • My = 151 kip-in. • Loading and conditions • pure flexural loading (beam) – pin supports • braced at 96 in.

  3. Baseline response

  4. A = 1.088 in2 My = Mcrl = Mcrd = Mcre (96 in.) = Mne = Mnl = Mnd = Mn = Yes 151 kip-in. 136 kip-in. 95 kip-in. 140 kip-in. 118 kip-in. 105 kip-in. 99 kip-in. 99 kip-in. Ben Schafer entrant Comment: 9x3x0.5 C-section – nothing fancy

  5. Competition • You (and your computer partners) have untilxxx pm to develop the best beam you can. • Key constraints • A must be within 1% of 1.088 in2 • Mcre is taken at 96 in., fy=50 ksi • When you have a beam you would like to enter on the big board, let me know. • Raise your hands or speak up if you have any questions...

  6. A = 1.088 in2 My = Mcrl = Mcrd = Mcre (96 in.) = Mne = Mnl = Mnd = Mn = XXYesXX xxx kip-in. xxx kip-in. xxx kip-in. xxx kip-in. xxx kip-in. xxx kip-in. xx kip-in. xx kip-in. XXXX entrant Comment: XXXX

  7. A = 1.088 in2 My = Mcrl = Mcrd = Mcre (96 in.) = Mne = Mnl = Mnd = Mn = XXYesXX xxx kip-in. xxx kip-in. xxx kip-in. xxx kip-in. xxx kip-in. xxx kip-in. xx kip-in. xx kip-in. XXXX entrant Comment: XXXX

  8. A = 1.088 in2 My = Mcrl = Mcrd = Mcre (96 in.) = Mne = Mnl = Mnd = Mn = XXYesXX xxx kip-in. xxx kip-in. xxx kip-in. xxx kip-in. xxx kip-in. xxx kip-in. xx kip-in. xx kip-in. XXXX entrant Comment: XXXX

  9. A = 1.088 in2 My = Mcrl = Mcrd = Mcre (96 in.) = Mne = Mnl = Mnd = Mn = XXYesXX xxx kip-in. xxx kip-in. xxx kip-in. xxx kip-in. xxx kip-in. xxx kip-in. xx kip-in. xx kip-in. XXXX entrant Comment: XXXX

  10. A = 1.088 in2 My = Mcrl = Mcrd = Mcre (96 in.) = Mne = Mnl = Mnd = Mn = XXYesXX xxx kip-in. xxx kip-in. xxx kip-in. xxx kip-in. xxx kip-in. xxx kip-in. xx kip-in. xx kip-in. XXXX entrant Comment: XXXX

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