Problem I. A steel beam cross section is assembled as shown by bolting the channel, C200 x 27.9, through its web on the wide flange, W200 x 35.9. The beam is 4 m in span and is simply supported loaded with a uniformly distributed load of intensity 20 kN/m throughout its span and a concentrated load, P (refer to the given table), at the midspan. If the diameter of the bolts is 22 mm, a) Compute for the moment of Inertia of the cross section b) Determine the maximum bending stress in the beam. c) Calculate the spacing of bolts (pitch) if the allowable shearing stress for a bolt is 100 MPa. tw C b, C200 x 27.9 properties Area (mm2) (mm) Depth, d Flange Web ly Width, b: (mm) Thickness, t:(mm) Thickness, tr (mm) (x10° mm*) (x10€ mm“) 12.4 (mm) 3550 203 64.3 9.91 18.3 0.820 14.4 W200 x 35.9 properties Depth, d Flange Area (mm2) (mm) 201 Web ly Width, br (mm) Thickness, t:(mm) Thickness, tr (mm) (x10° mm*) (x10€ mm*) 4570 165 10.2 6.22 34.4 7.62

Problem I. A steel beam cross section is assembled as shown by bolting the channel, C200 x 27.9, through its web on the wide flange, W200 x 35.9. The beam is 4 m in span and is simply supported loaded with a uniformly distributed load of intensity 20 kN/m throughout its span and a concentrated load, P (refer to the given table), at the midspan. If the diameter of the bolts is 22 mm, a) Compute for the moment of Inertia of the cross section b) Determine the maximum bending stress in the beam. c) Calculate the spacing of bolts (pitch) if the allowable shearing stress for a bolt is 100 MPa. tw C b, C200 x 27.9 properties Area (mm2) (mm) Depth, d Flange Web ly Width, b: (mm) Thickness, t:(mm) Thickness, tr (mm) (x10° mm) (x10€ mm“) 12.4 (mm) 3550 203 64.3 9.91 18.3 0.820 14.4 W200 x 35.9 properties Depth, d Flange Area (mm2) (mm) 201 Web ly Width, br (mm) Thickness, t:(mm) Thickness, tr (mm) (x10° mm) (x10€ mm*) 4570 165 10.2 6.22 34.4 7.62

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter5: Beams

Section: Chapter Questions

Problem 5.13.2P

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