P2.26. A beam that is part of a rigid frame has end moments and mid-span moments for dead, live, and earthquake loads shown below. Determine the governing load combination for both negative and positive moments at the ends and mid-span of the beam. Earthquake load can act in either direction, generating both negative and positive moments in the beam. End Moments (ft-kip) Mid-Span Moments (ft-kip) Dead Load -180 +90 Live Load -150 +150 Earthquake +80 0
P2.26. A beam that is part of a rigid frame has end moments and mid-span moments for dead, live, and earthquake loads shown below. Determine the governing load combination for both negative and positive moments at the ends and mid-span of the beam. Earthquake load can act in either direction, generating both negative and positive moments in the beam. End Moments (ft-kip) Mid-Span Moments (ft-kip) Dead Load -180 +90 Live Load -150 +150 Earthquake +80 0
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Problem P2.26: Beam Moment Analysis**
A beam that is part of a rigid frame has end moments and mid-span moments for dead, live, and earthquake loads as shown below. Your task is to determine the governing load combination for both negative and positive moments at the ends and mid-span of the beam. It is important to note that earthquake loads can act in either direction, creating both negative and positive moments in the beam.
**Moment Values:**
| Load Type | End Moments (ft·kip) | Mid-Span Moments (ft·kip) |
|----------------|----------------------|---------------------------|
| Dead Load | -180 | +90 |
| Live Load | -150 | +150 |
| Earthquake | ±80 | 0 |
**Discussion:**
1. **Dead Load:**
- End Moments: -180 ft·kip
- Mid-Span Moments: +90 ft·kip
2. **Live Load:**
- End Moments: -150 ft·kip
- Mid-Span Moments: +150 ft·kip
3. **Earthquake Load:**
- End Moments: ±80 ft·kip (indicating that the moment can be either +80 or -80 depending on the direction of the earthquake load)
- Mid-Span Moments: 0 ft·kip
Using the given moments, you can analyze the combinations to determine which scenarios produce the most critical (i.e., largest absolute value) moment conditions for both the ends and mid-span of the beam. This analysis will help in understanding how different load combinations affect the structural integrity and stability of the beam within the frame.
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