Find the maximum permissible value of load P at B
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
![A cantilever beam, designated as a C12 × 30 section, is subjected to its own weight and a point load at point B.
**Diagram Details:**
1. **Main Diagram (Beam with Loads):**
- The beam has a uniform distributed load along its entire length, labeled as \( q = 30 \, \text{lb/ft} \).
- There is a point load \( P \) acting vertically downward at the free end of the beam, labeled as point B.
- The length of the beam from point A to point B is 9 feet.
2. **Section Diagram (Section x-x):**
- Depicts a cross-section of the beam.
- The section has a width of 12 inches (horizontal dimension).
- The thickness of the top flange is 0.501 inches.
- The thickness of the web (vertical dimension) is 0.51 inches.
- The depth of the section (vertical dimension) is 3.17 inches.
**Objective:**
Find the maximum permissible value of load \( P \) at point B (in kips) given that the allowable stress in tension and compression is \( \sigma_a = 18.6 \, \text{ksi} \).
**Solution Box:**
Provide your answer for \( P \) in the designated box:
\[ \boxed{ \text{kips} } \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7e73dffa-f7e2-4ec8-9d84-4f1c73b1a496%2F2f3a6f03-09e9-4fa1-a988-3baa717887de%2F50pad7c_processed.png&w=3840&q=75)
Transcribed Image Text:A cantilever beam, designated as a C12 × 30 section, is subjected to its own weight and a point load at point B.
**Diagram Details:**
1. **Main Diagram (Beam with Loads):**
- The beam has a uniform distributed load along its entire length, labeled as \( q = 30 \, \text{lb/ft} \).
- There is a point load \( P \) acting vertically downward at the free end of the beam, labeled as point B.
- The length of the beam from point A to point B is 9 feet.
2. **Section Diagram (Section x-x):**
- Depicts a cross-section of the beam.
- The section has a width of 12 inches (horizontal dimension).
- The thickness of the top flange is 0.501 inches.
- The thickness of the web (vertical dimension) is 0.51 inches.
- The depth of the section (vertical dimension) is 3.17 inches.
**Objective:**
Find the maximum permissible value of load \( P \) at point B (in kips) given that the allowable stress in tension and compression is \( \sigma_a = 18.6 \, \text{ksi} \).
**Solution Box:**
Provide your answer for \( P \) in the designated box:
\[ \boxed{ \text{kips} } \]
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