A four-meter intermediate floor beam is made of ASTM A992 steel (Fy = 350 MPa; F = 450 MPa) rolled into W14x82 section. The beam is laterally braced at its supports and at its midspan only. The beam is to be subjected to a uniform gravity loads (dead and live) such that the ratio of total uniform service dead load to total uniform service live load is 3.00. The beam is also subjected to a concentrated dead load of 15 kN and concentrated live load of 25 kN each at its third points. The maximum service live load deflection of the beam must not exceed 25 mm. ASD specifications were used for the design of the beam. (a) Assess the beam section if local buckling will significantly affect its flexural strength. Classify the beam section as compact, non- compact, or slender. (b) Determine the design flexural capacity of the beam considering either yielding or flange buckling (depending if the section is compact, non-compact, or slender). (c) Determine the design flexural capacity of the beam considering lateral-torsional buckling. Use Cb = 1.00. (d) Determine the design shear capacity of the beam. Assume unstiffened webs. (e) Determine the maximum permissible magnitude of super-imposed uniform service dead load and total uniform live load that should be applied on the beam such that it will not fail in either flexure, shear, and/or deflection requirements. Use IBC limits for deflection requirements.
A four-meter intermediate floor beam is made of ASTM A992 steel (Fy = 350 MPa; F = 450 MPa) rolled into W14x82 section. The beam is laterally braced at its supports and at its midspan only. The beam is to be subjected to a uniform gravity loads (dead and live) such that the ratio of total uniform service dead load to total uniform service live load is 3.00. The beam is also subjected to a concentrated dead load of 15 kN and concentrated live load of 25 kN each at its third points. The maximum service live load deflection of the beam must not exceed 25 mm. ASD specifications were used for the design of the beam. (a) Assess the beam section if local buckling will significantly affect its flexural strength. Classify the beam section as compact, non- compact, or slender. (b) Determine the design flexural capacity of the beam considering either yielding or flange buckling (depending if the section is compact, non-compact, or slender). (c) Determine the design flexural capacity of the beam considering lateral-torsional buckling. Use Cb = 1.00. (d) Determine the design shear capacity of the beam. Assume unstiffened webs. (e) Determine the maximum permissible magnitude of super-imposed uniform service dead load and total uniform live load that should be applied on the beam such that it will not fail in either flexure, shear, and/or deflection requirements. Use IBC limits for deflection requirements.
Chapter2: Loads On Structures
Section: Chapter Questions
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Transcribed Image Text:A four-meter intermediate floor beam is made of ASTM A992 steel (F,- 350 MPa; F,- 450 MPa) rolled into W14x82 section. The beam is
laterally braced at its supports and at its midspan only. The beam is to be subjected to a uniform gravity loads (dead and live) such that the
ratio of total uniform service dead load to total uniform service live load is 3.00. The beam is also subjected to a concentrated dead load of
15 kN and concentrated live load of 25 kN each at its third points. The maximum service live load deflection of the beam must not exceed
25 mm. ASD specifications were used for the design of the beam.
(a) Assess the beam section if local buckling will significantly affect its flexural strength. Classify the beam section as compact, non-
compact, or
slender.
(b) Determine the design flexural capacity of the beam considering either yielding or flange buckling (depending if the section is compact,
non-compact, or slender).
(c) Determine the design flexural capacity of the beam considering lateral-torsional buckling, Use C, - 1.00.
(d) Determine the design shear capacity of the beam. Assume unstiffened webs.
(e) Determine the maximum permissible magnitude of super-imposed uniform service dead load and total uniform live load that should be
applied on
the beam such that it will not fail in either flexure, shear, and/or deflection requirements. Use IBC limits for deflection requirements.
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