You are given the structure and loading below. The load w is 2.4 kips/ft. Find the value of downward deflection at point D. Use E = 29,000 ksi. BC is a cable with a diameter of 0.5 in. AB is an I beam (W12x16) with a moment of inertia of 103 in and an area of 4.7 in?. 12 to Apply the 4-step process: 1. Calculate the axial forces and bending moments for the applied load. This requires a full solution of the structure by the methods of Unit 4. 2. Apply the unit load at the location of and in the direction of the desired displacement. 3. Calculate the axial forces and bending moments for the virtual load. This requires another full solution of the structure by the methods of Unit 4. 4. Compute the deflection using the equation above. Here are a few approximate partial answers to check your work along the way: • Peak real moment: 518 kip-in • Real axial force in the cable: 20.4 kips Keep track of the three different contributions for the deflection at point D (axial and bending as appropriate)... 1 What is the magnitude of the deflection at D attributable to axial deformation of member BC (in inches to three decimal points)? Type your answer. 2 What is the magnitude of the deflection at D attributable to axial deformation of member AB (in inches to three decimal points)? Type your answer. What is the magnitude of the deflection at D attributable to flexure of member AB (in inches to three decimal points)?
You are given the structure and loading below. The load w is 2.4 kips/ft. Find the value of downward deflection at point D. Use E = 29,000 ksi. BC is a cable with a diameter of 0.5 in. AB is an I beam (W12x16) with a moment of inertia of 103 in and an area of 4.7 in?. 12 to Apply the 4-step process: 1. Calculate the axial forces and bending moments for the applied load. This requires a full solution of the structure by the methods of Unit 4. 2. Apply the unit load at the location of and in the direction of the desired displacement. 3. Calculate the axial forces and bending moments for the virtual load. This requires another full solution of the structure by the methods of Unit 4. 4. Compute the deflection using the equation above. Here are a few approximate partial answers to check your work along the way: • Peak real moment: 518 kip-in • Real axial force in the cable: 20.4 kips Keep track of the three different contributions for the deflection at point D (axial and bending as appropriate)... 1 What is the magnitude of the deflection at D attributable to axial deformation of member BC (in inches to three decimal points)? Type your answer. 2 What is the magnitude of the deflection at D attributable to axial deformation of member AB (in inches to three decimal points)? Type your answer. What is the magnitude of the deflection at D attributable to flexure of member AB (in inches to three decimal points)?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Concept explainers
Question
Structural
Transcribed Image Text:**Educational Content on Structural Analysis and Deflection:**
---
**Problem Statement:**
You are given the structure and loading below. The load \( w \) is 2.4 kips/ft. Find the value of downward deflection at point D. Use \( E = 29,000 \) ksi. BC is a cable with a diameter of 0.5 in. AB is an I beam (W12x16) with a moment of inertia of 103 in\(^4\) and an area of 4.7 in\(^2\).
A diagram illustrates a structural framework consisting of a horizontal beam AB supported at point B with a triangular support BC, connected at point C. Dimensions indicate BC at a 45-degree angle, and AB is 12 feet long.
---
**Analysis Approach using the 4-step Process:**
1. **Calculate the Axial Forces and Bending Moments for the Applied Load:**
- This requires a full solution of the structure by the methods of Unit 4.
2. **Apply the Unit Load:**
- Apply the unit load at the location of and in the direction of the desired displacement.
3. **Calculate the Axial Forces and Bending Moments for the Virtual Load:**
- This requires another full solution of the structure by the methods of Unit 4.
4. **Compute the Deflection:**
- Use the results from the steps above to calculate the deflection.
**Reference Values for Checking Work:**
- Peak real moment: 518 kip-in
- Real axial force in the cable: 20.4 kips
**Note:**
Keep track of the three different contributions for the deflection at point D (axial and bending as appropriate).
---
**Questions:**
1. **What is the magnitude of the deflection at D attributable to axial deformation of member BC (in inches to three decimal points)?**
*Type your answer.*
2. **What is the magnitude of the deflection at D attributable to axial deformation of member AB (in inches to three decimal points)?**
*Type your answer.*
3. **What is the magnitude of the deflection at D attributable to flexure of member AB (in inches to three decimal points)?**
*Type your answer.*
---
This exercise guides students through a structured approach to solving complex structural deflection problems using fundamental principles and calculations.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 3 images
Knowledge Booster
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.Recommended textbooks for you
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning