Homework Help is Here – Start Your Trial Now!
Engineering
Civil Engineering
QUESTION 1 Find the most economical W14 for a beam with a span of 30' and a uniform load of 4k/f and point loads every 6ft of 10k. Fv 20ksi, Fb 30ksi and E = 29,000ksi, and Aall - L/240.

QUESTION 1 Find the most economical W14 for a beam with a span of 30' and a uniform load of 4k/f and point loads every 6ft of 10k. Fv 20ksi, Fb 30ksi and E = 29,000ksi, and Aall - L/240.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
### Question 1 **Problem Statement:** Find the most economical W14 for a beam with a span of 30’ and a uniform load of 4k/f and point loads every 6ft of 10k. The given parameters are: - \( F_v = 20 \text{ ksi} \) - \( F_b = 30 \text{ ksi} \) - \( E = 29,000 \text{ ksi} \) - \( \Delta_{\text{all}} = L/240 \) **Explanation:** This problem involves the selection of an appropriate steel section (W14) for a beam subjected to both uniform and point loads. The constraints provided include the allowable shear stress (\( F_v \)), the allowable bending stress (\( F_b \)), modulus of elasticity (\( E \)), and the allowable deflection (\( \Delta_{\text{all}} \)). The key steps to solve this problem are: 1. **Calculate Shear Force:** - Determine the maximum shear force exerted on the beam due to the uniform load and the point loads. 2. **Determine Bending Moment:** - Calculate the maximum bending moment considering the loads and the span length. 3. **Select Section Modulus:** - Use the bending stress formula to find the required section modulus. 4. **Check for Deflection:** - Ensure that the chosen beam section satisfies the deflection criteria. By carrying out these calculations, the goal is to find the most economical (lightest) W14 section that can safely support the applied loads without exceeding the permissible stresses and deflection limits.
Transcribed Image Text:### Question 1 **Problem Statement:** Find the most economical W14 for a beam with a span of 30’ and a uniform load of 4k/f and point loads every 6ft of 10k. The given parameters are: - \( F_v = 20 \text{ ksi} \) - \( F_b = 30 \text{ ksi} \) - \( E = 29,000 \text{ ksi} \) - \( \Delta_{\text{all}} = L/240 \) **Explanation:** This problem involves the selection of an appropriate steel section (W14) for a beam subjected to both uniform and point loads. The constraints provided include the allowable shear stress (\( F_v \)), the allowable bending stress (\( F_b \)), modulus of elasticity (\( E \)), and the allowable deflection (\( \Delta_{\text{all}} \)). The key steps to solve this problem are: 1. **Calculate Shear Force:** - Determine the maximum shear force exerted on the beam due to the uniform load and the point loads. 2. **Determine Bending Moment:** - Calculate the maximum bending moment considering the loads and the span length. 3. **Select Section Modulus:** - Use the bending stress formula to find the required section modulus. 4. **Check for Deflection:** - Ensure that the chosen beam section satisfies the deflection criteria. By carrying out these calculations, the goal is to find the most economical (lightest) W14 section that can safely support the applied loads without exceeding the permissible stresses and deflection limits.
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Design criteria for structural loading
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS