The beam and loading shown in figure below, is a simply supported beam (W530x300) with a span of 10m and fully laterally supported along its entire length. The service dead load = 15 kN/m (including the weight of the beam), and service live load is 30 kN/m. The maximum allowable deflection is L/ 360. Use A572M grade 345 steel materials and check the adequacy of the beam section for: a. Flexural strength b. Shear strength c. Deflection control

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Beam Analysis for Structural Engineering**

**Problem Statement:**

Consider a simply supported beam (W530x300) with a span of 10 meters. It is fully laterally supported along its entire length. The beam is subjected to the following loads:
- **Service Dead Load (D.L.)**: 15 kN/m (including the weight of the beam)
- **Service Live Load (L.L.)**: 30 kN/m

The maximum allowable deflection for this beam is given by the formula \( \frac{L}{360} \), where \( L \) is the length of the beam.

Material specifications:
- **Steel Grade**: A572M grade 345

**Tasks:**

Evaluate the adequacy of the beam section for:
a. **Flexural Strength**
b. **Shear Strength**
c. **Deflection Control**

**Diagram Explanation:**

- The diagram depicts a horizontal beam with a span of 10 meters.
- It shows the distribution of the dead load (15 kN/m) and the live load (30 kN/m) along the length of the beam. These loads are represented as uniformly distributed loads on the beam.

Use the specifications and the diagram to calculate the required parameters to check the beam's adequacy under the given conditions.
Transcribed Image Text:**Beam Analysis for Structural Engineering** **Problem Statement:** Consider a simply supported beam (W530x300) with a span of 10 meters. It is fully laterally supported along its entire length. The beam is subjected to the following loads: - **Service Dead Load (D.L.)**: 15 kN/m (including the weight of the beam) - **Service Live Load (L.L.)**: 30 kN/m The maximum allowable deflection for this beam is given by the formula \( \frac{L}{360} \), where \( L \) is the length of the beam. Material specifications: - **Steel Grade**: A572M grade 345 **Tasks:** Evaluate the adequacy of the beam section for: a. **Flexural Strength** b. **Shear Strength** c. **Deflection Control** **Diagram Explanation:** - The diagram depicts a horizontal beam with a span of 10 meters. - It shows the distribution of the dead load (15 kN/m) and the live load (30 kN/m) along the length of the beam. These loads are represented as uniformly distributed loads on the beam. Use the specifications and the diagram to calculate the required parameters to check the beam's adequacy under the given conditions.
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