Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
expand_more
expand_more
format_list_bulleted
Related questions
Question
![### Beam Load Analysis
A simply supported beam of length 30 inches and a diameter of 2 inches is supported at points A and D. It is subjected to a load, \( P \), at points B and C as depicted (within two planes). The task is to calculate the largest value of \( P \) such that the bending stress along the x-direction at any point in the beam does not exceed 38 ksi (kips per square inch).
#### Diagram Explanation
The diagram portrays a horizontal beam supported at two ends: point A (on the left) and point D (on the right). The beam has two downward forces labeled \( P \) applied at points B and C, each located at intervals of 10 inches along the beam. The coordinates are given as follows:
- \( A \) is at the origin on the x-axis.
- \( B \) is 10 inches from \( A \).
- \( C \) is 10 inches from \( B \) and 20 inches from \( A \).
- \( D \) is 10 inches from \( C \) and 30 inches from \( A \).
### Calculation
Using the beam's properties and the conditions provided, determine the value of \( P \) that ensures the bending stress does not exceed the given limit of 38 ksi. Round down the result to the nearest 1/10th of a kip.
\[ P = \text{[Answer here]} \, \text{kip} \]
### Important Notes
- **Simply Supported Beam:** This type of beam is supported at both ends, allowing for easy calculation of reactions and bending moments under applied loads.
- **Units and Measurements:** Make sure to work within consistent units – inches for length, kips for force, and ksi for stress.
- **Safety Margin:** Ensure that calculated stresses remain within the specified limit for safe design and functionality.](https://content.bartleby.com/qna-images/question/18673480-ad96-4ad2-ae53-fc973c2d65e4/0de72baf-c938-4a05-a87d-8a0c3b17b4b8/jdm1j0p_processed.png)
Transcribed Image Text:### Beam Load Analysis
A simply supported beam of length 30 inches and a diameter of 2 inches is supported at points A and D. It is subjected to a load, \( P \), at points B and C as depicted (within two planes). The task is to calculate the largest value of \( P \) such that the bending stress along the x-direction at any point in the beam does not exceed 38 ksi (kips per square inch).
#### Diagram Explanation
The diagram portrays a horizontal beam supported at two ends: point A (on the left) and point D (on the right). The beam has two downward forces labeled \( P \) applied at points B and C, each located at intervals of 10 inches along the beam. The coordinates are given as follows:
- \( A \) is at the origin on the x-axis.
- \( B \) is 10 inches from \( A \).
- \( C \) is 10 inches from \( B \) and 20 inches from \( A \).
- \( D \) is 10 inches from \( C \) and 30 inches from \( A \).
### Calculation
Using the beam's properties and the conditions provided, determine the value of \( P \) that ensures the bending stress does not exceed the given limit of 38 ksi. Round down the result to the nearest 1/10th of a kip.
\[ P = \text{[Answer here]} \, \text{kip} \]
### Important Notes
- **Simply Supported Beam:** This type of beam is supported at both ends, allowing for easy calculation of reactions and bending moments under applied loads.
- **Units and Measurements:** Make sure to work within consistent units – inches for length, kips for force, and ksi for stress.
- **Safety Margin:** Ensure that calculated stresses remain within the specified limit for safe design and functionality.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 2 steps with 5 images
Knowledge Booster
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.Similar questions
- Please don't provide handwritten solution.....arrow_forwardA simply supported wood beam with a span of L-9 ft supports a uniformly distributed load w. The beam width is b-5 in, and the beam height is h=9 in. The allowable bending stress of the wood is 980 psi. Determine the magnitude of the maximum load w that may be carried by the beam. Answer: W- i| 1 lb/ft.arrow_forwardI need correct handwrittenarrow_forward
- box ur answerarrow_forwardQ1/ A beam (ABC) is supported at A&B and carries a uniformly distributed loads between AB of 60N/m and downward load of magnitude 40 N at C. Find (RA) & (RB). Take AB= 6m & BC=1m ?arrow_forwardSolve using DIM. Previous answer here was wrong so please correct it.arrow_forward
- A beam AB with overhanging is 6 m in length and made from steel as shown in Figure 2. It is supported by a pin at A and a roller at B. The beam carries a linearly distributed load of 35 kN/m alongAB and uniformly distributed load of 8 kN/m along CD. A moment of 8 kNm is acting at D. Thebeam has a cross-section x-x as shown in Figure 3.a) By using shear-force and bending-moment equations, determine the magnitude of the shear force and bending moment at points A, B, C, and D.b) Construct the shear force and bending moment diagrams for the beam. State all the important values and location of inflection point (if any).c) Calculate the maximum bending stress of the point where located at the inflection point.d) Determine the maximum shear stress and shear stress at point Y.arrow_forwardQ3) A circular bar of 25mm diameter is formed into a semicircular arch and loaded as shown in the figure. Determine the maximum bending stress. Assume that the flexure formula for straight beams is applicable. 200KN 100KN R=1.5m 230°arrow_forwardPls correctly thanks with explanationarrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education 
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY