A W27x94 beam made of Gr. A992 steel is being used to support the factored live loads shown. You may neglect the self-weight of the beam. Is the beam adequate to support the given loads? 75kips 30 kips 12 ft 12 ft 12 ft
A W27x94 beam made of Gr. A992 steel is being used to support the factored live loads shown. You may neglect the self-weight of the beam. Is the beam adequate to support the given loads? 75kips 30 kips 12 ft 12 ft 12 ft
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Team Problem 7-1: Lateral-Torsional Buckling**
A W27x94 beam made of Gr. A992 steel is being used to support the factored live loads shown. You may neglect the self-weight of the beam. Is the beam adequate to support the given loads?
**Diagram Explanation:**
- The beam is labeled as W27x94, which indicates its size and weight per unit length.
- The beam is supported at each end. On the left, there is a simple support, and on the right, there is a roller support.
- The total length of the beam is divided into three equal sections of 12 feet each, totaling 36 feet.
- Two loads are applied to the beam:
- A 75 kip load at 12 feet from the left end.
- A 30 kip load at 24 feet from the left end.
- Arrows indicating the direction of the loads show they are acting downward on the beam.
The question asks whether the beam can adequately support these loads, considering potential lateral-torsional buckling effects.
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Step 1: Introduce the problem statement
VIEWStep 2: List out section properties
VIEWStep 3: Classify the section
VIEWStep 4: Determine the formula for computing nominal moment capacity of beam
VIEWStep 5: Plot bending moment diagram due to load acting on the beam
VIEWStep 6: Compute Cb
VIEWStep 7: Compute nominal moment capacity of beam
VIEWStep 8: Check the adequacy of the section
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