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help in question 9 please Questions 4 to 9 refer to an experimental test of a ca

ID: 1885623 • Letter: H

Question

help in question 9 please

Questions 4 to 9 refer to an experimental test of a cantilevered W36x150 A992-50 beam conducted by Eatherton et al. (2013)1, which we discussed in class. A time-lapse video of the response is here: Lckt&index=16). A summary of the flexural response is shown below: 4. (2 points) Compute the theoretical 3000 2000 100.-+ nominal yield moment, My (k-ft) 5. + (2 points) Compute the theoretical moment corresponding to first-yiel accounting the effects of residual stresses, Mr (k-ft). Use the AISC approximation. . 1000 2000 -3000-. 4000 -"-- 6. 2 points) Compute the theoretical plastic moment, Mp (k-ft). 7. (2 points) Why don't the test results match the experimental results? 4 3 -21 0 1 2 3 4 Story Drift Ratio(%) Figure 52: Specimen 1 (W36) Hysteresis 8. 1 point) Is flange local buckling (FLB) a concern? 9. (1 point) Is lateral-torsional buckling (LTB) a concern? 10. (5 points) Determine the plastic moment capacity, Mp (k-ft), and shape factor, f for a built-up I shaped girder ("plate girder") consisting of 1/2-in. thick by 6-in. wide flange plates welded to a 5/16-in. thick by 17-in. tall web plate. Calculate the shape factor for both the strong and weak axis. For this example, assume A36 steel. 1 Toellner, B.W. (2013) Evaluating the Effect of Decking Fasteners on the Seismic Behavior of Steel Moment Frame Plastic Hinge Regions, M.S. Thesis, Virginia Tech. Homework 3 Page 1

Explanation / Answer

Ans 9. Lateral Torsion buckling basically occurs in the unrestrained beam . A beam which is considered to be unrestrained when its compression flange is free to displace laterally and rotate or we can say that Lateral Torsional Buckling occurs when an applied load cause both displacement & twisting of member. This type of failure can be seen when an external load is applied to an unconstrained, steel I - beam , with the two flanges acting differently , one under compression , & the other tension. 'UNCONSTRAINED' in this case means the flange under compression is free to move laterally and twist , so the buckling can be seen in the compression flange of a cantilever beam.

From all the above i conclude that the Lateral Torsional Buckling occurs in an unrestrained beam . A beam which is considered to be unrestrained when its compression flange is free to laterally display & rotate. When an applied load causes both lateral displacement & twisting of member lateral toriosnal buckling will appear.

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