A W10x22 used as a column under axial compression. Use A36 steel. For each column length and end conditions given, calculate the design capacity. (a) L = 8 ft, pinned ends (b) L=8 ft, fixed ends (c) L= 16 ft, pinned ends (d) L = 16 ft, fixed ends (e) L = 16 ft, pinned ends, braced at the midspan in the weak axis direction.
A W10x22 used as a column under axial compression. Use A36 steel. For each column length and end conditions given, calculate the design capacity. (a) L = 8 ft, pinned ends (b) L=8 ft, fixed ends (c) L= 16 ft, pinned ends (d) L = 16 ft, fixed ends (e) L = 16 ft, pinned ends, braced at the midspan in the weak axis direction.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
![**Column Design Capacity Analysis**
*Objective:*
Determine the design capacity of a W10x22 column made from A36 steel under axial compression. Assess various lengths and end conditions to see how they influence capacity.
**Column Scenarios:**
1. **Case (a):**
- Length \( L = 8 \) ft
- End Condition: Pinned ends
2. **Case (b):**
- Length \( L = 8 \) ft
- End Condition: Fixed ends
3. **Case (c):**
- Length \( L = 16 \) ft
- End Condition: Pinned ends
4. **Case (d):**
- Length \( L = 16 \) ft
- End Condition: Fixed ends
5. **Case (e):**
- Length \( L = 16 \) ft
- End Condition: Pinned ends, with bracing at the midspan in the weak axis direction
*Notes:*
- Analyze each condition considering the differences between pinned and fixed ends, which affect the effective length factor and column capacity.
- Midspan bracing affects the buckling resistance in the weak axis, altering the effective length used in calculations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F535a6610-5408-42b9-810f-cca1f66cb656%2F8ea927c4-b7d4-471e-96cc-fa218fcb8bde%2Flwv9s9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Column Design Capacity Analysis**
*Objective:*
Determine the design capacity of a W10x22 column made from A36 steel under axial compression. Assess various lengths and end conditions to see how they influence capacity.
**Column Scenarios:**
1. **Case (a):**
- Length \( L = 8 \) ft
- End Condition: Pinned ends
2. **Case (b):**
- Length \( L = 8 \) ft
- End Condition: Fixed ends
3. **Case (c):**
- Length \( L = 16 \) ft
- End Condition: Pinned ends
4. **Case (d):**
- Length \( L = 16 \) ft
- End Condition: Fixed ends
5. **Case (e):**
- Length \( L = 16 \) ft
- End Condition: Pinned ends, with bracing at the midspan in the weak axis direction
*Notes:*
- Analyze each condition considering the differences between pinned and fixed ends, which affect the effective length factor and column capacity.
- Midspan bracing affects the buckling resistance in the weak axis, altering the effective length used in calculations.
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