A simply supported beam with a span length of 20 ft is made of a W 30 x 116 section of A992 steel. The beam carries two concentrated ultimate loads of P, and 2 P, as 2P, Pu shown. Sft The applied ultimate load P, is a combination of 20 kips service dead load (Pp) and 60 kips of service live load (P,). tatatata If lateral support is provided only at both ends, check whether the given section can safely carry the applied loads.
A simply supported beam with a span length of 20 ft is made of a W 30 x 116 section of A992 steel. The beam carries two concentrated ultimate loads of P, and 2 P, as 2P, Pu shown. Sft The applied ultimate load P, is a combination of 20 kips service dead load (Pp) and 60 kips of service live load (P,). tatatata If lateral support is provided only at both ends, check whether the given section can safely carry the applied loads.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:### Beam Load Analysis
**Diagram Description:**
- The diagram illustrates a simply supported beam with a total span of 20 feet.
- The beam is subjected to two concentrated ultimate loads: \( P_u \) and \( 2 P_u \).
- These loads are applied vertically downward at specified positions on the beam.
- The beam is divided into four equal segments of 5 feet each.
**Beam Specifications:**
- The beam is made of a W 30 x 116 section, using A992 steel.
**Load Details:**
- The applied ultimate load \( P_u \) consists of:
- A 20 kips service dead load (\( P_D \))
- A 60 kips service live load (\( P_L \))
**Challenge:**
- Check whether the beam can safely carry the applied loads when lateral support is provided only at both ends.
### Analysis Instructions:
To ensure safety and proper structural performance, assess the beam's ability to withstand the given loads under the specified conditions. Consider factors like material strength, load distribution, and potential deflection when performing calculations.
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