Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
Three cables are used to hang a traffic light as shown. All three cables have diameter d = 3 mm and are made out of 1045HR steel. If the failure criterion of the overall system is a safety factor SF, = 7 against yielding, what is the maximum traffic light weight that can be hung? - Take 0= 40°, L=12, and h = 5. W max 1045.1 B h A 0 N X0% C

Three cables are used to hang a traffic light as shown. All three cables have diameter d = 3 mm and are made out of 1045HR steel. If the failure criterion of the overall system is a safety factor SF, = 7 against yielding, what is the maximum traffic light weight that can be hung? - Take 0= 40°, L=12, and h = 5. W max 1045.1 B h A 0 N X0% C

Elements Of Electromagnetics
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
See similar textbooks
icon
Related questions
Question
**Title: Determining the Maximum Traffic Light Weight Using Cables** **Overview** In this example, we examine the structural setup for hanging a traffic light using three steel cables. Each cable has specific properties and is arranged in a geometric configuration. Our goal is to determine the maximum weight the system can support safely using a given safety factor. **Material and Cable Specifications** - **Material**: 1045HR Steel - **Cable Diameter**: \(d = 3 \, \text{mm}\) **Safety Considerations** - **Safety Factor against Yielding**: \(SF_y = 7\) **System Configuration** - **Angle**: \(\theta = 40^\circ\) - **Lengths**: - \(L = 12\) - \(h = 5\) **Diagram Description** The diagram illustrates the setup of a traffic light suspended by three cables attached to points B and C: 1. **Points**: - Point A is where the traffic light is connected. - Points B and C are the anchor points on structures. 2. **Cables**: - The cable from A to B and A to C form angles \(\theta\) with the horizontal axis. 3. **Dimensions**: - The configuration forms a right triangle with the horizontal distance \(L\) and the vertical distance \(h\). **Objective** Calculate the maximum traffic light weight (\(W_{\text{max}}\)) that can be safely supported by the setup using the failure criterion and safety factor. **Result** - The computed maximum weight (\(W_{\text{max}}\)) of the traffic light is \(\boxed{1045.1} \, \text{N}\). This setup ensures that the traffic light system remains secure and operational under the specified conditions.
Transcribed Image Text:**Title: Determining the Maximum Traffic Light Weight Using Cables** **Overview** In this example, we examine the structural setup for hanging a traffic light using three steel cables. Each cable has specific properties and is arranged in a geometric configuration. Our goal is to determine the maximum weight the system can support safely using a given safety factor. **Material and Cable Specifications** - **Material**: 1045HR Steel - **Cable Diameter**: \(d = 3 \, \text{mm}\) **Safety Considerations** - **Safety Factor against Yielding**: \(SF_y = 7\) **System Configuration** - **Angle**: \(\theta = 40^\circ\) - **Lengths**: - \(L = 12\) - \(h = 5\) **Diagram Description** The diagram illustrates the setup of a traffic light suspended by three cables attached to points B and C: 1. **Points**: - Point A is where the traffic light is connected. - Points B and C are the anchor points on structures. 2. **Cables**: - The cable from A to B and A to C form angles \(\theta\) with the horizontal axis. 3. **Dimensions**: - The configuration forms a right triangle with the horizontal distance \(L\) and the vertical distance \(h\). **Objective** Calculate the maximum traffic light weight (\(W_{\text{max}}\)) that can be safely supported by the setup using the failure criterion and safety factor. **Result** - The computed maximum weight (\(W_{\text{max}}\)) of the traffic light is \(\boxed{1045.1} \, \text{N}\). This setup ensures that the traffic light system remains secure and operational under the specified conditions.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Buckling of Columns
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY
SEE MORE TEXTBOOKS