Explanation Given information: The rigid beam is supported by a pin at A and two steel wires. The diameter of each wire ( d ) is 4 mm . The modulus of elasticity of the steel ( E ) is 200 GPa . The yield stress of the wire σ Y is 530 MPa . The length of segment AB ( L A B ) is 400 mm . The length of segment BC ( L B C ) is 250 mm . The length of segment CG ( L C G ) is 150 mm . The length of wires BE and CD ( L B E and L C D ) is 800 mm . Calculation: Calculate the area of each wire ( A ) : A = π 4 d 2 (1) Substitute 4 mm for d in Equation (1). A = π 4 × 4 2 = 4 π mm 2 Show the free-body diagram of the beam as in Figure 1. Refer Figure 1. Here, F B E is force of the wire BE and F C D is force of the wire CD . Calculate the moment about point A by applying the equation of equilibrium: Sum of moments about point A is equal to 0. ∑ M A = 0 ( F B E × 0.4 ) + ( F C D × 0.65 ) − ( 0.8 w × 0.4 ) = 0 0.4 F B E + 0.65 F C D − 0.32 w = 0 0.4 F B E + 0.65 F C D = 0.32 w (2) Wire CD will yield first followed by wire BE . When both wires yield Calculate the force of each wire ( F B E and F C D ) F B E = F C D = σ y A (3) Substitute 530 MPa for σ Y and 4 π mm 2 for A in Equation (3). F B E = F C D = 530 MPa × 10 − 3 kN/mm 2 1 MPa × 4 π = 6.66 kN Calculate the intensity of the distributed load ( w ) that can be placed on the beam: Substitute 6.66 kN for F B E and 6

9th Edition

ISBN: 9789810694364

Author: Russell C Hibbeler

Publisher: Pearson Education

See similar textbooks

Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be create…

Videos

Question

Chapter 4.9, Problem 4.99P

To determine

The intensity of the distributed load (w) that can be placed on the beam.

To find: The displacement of point G (δG) .

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4.9, Problem 4.98P

Chapter 4.9, Problem 4.100P

Students have asked these similar questions

handwritten solutions only, please!

On from the equation: 2 u = C₁ + C₂ Y + Czy + Cu y³ Find C₁, C₂, C3 and Cy Using these following Cases : (a) 4=0 at y=0 (b) U = U∞ at y = 8 du (c) at Y = S ду --y. ди = 0 at y = 0 буг

I need help with a MATLAB code. I am trying to solve this question. Based on the Mars powered landing scenariosolve Eq. (14) via convex programming. Report the consumed fuel, and discuss the results with relevant plots. I am using the following MATLAB code and getting an error. I tried to fix the error and I get another one saying something about log and exp not being convex. Can you help fix my code and make sure it works. The error is CVX Warning: Models involving "log" or other functions in the log, exp, and entropy family are solved using an experimental successive approximation method. This method is slower and less reliable than the method CVX employs for other models. Please see the section of the user's guide entitled The successive approximation method for more details about the approach, and for instructions on how to suppress this warning message in the future.Error using .* (line 173)Disciplined convex programming error: Cannot perform the operation:…

Chapter 4 Solutions

Mechanics Of Materials, Si Edition

Ch. 4.2 - In each case, determine the internal normal force...Ch. 4.2 - Determine the internal normal force between...Ch. 4.2 - The post weighs 8kN/m. Determine the internal...Ch. 4.2 - The rod is subjected to an external axial force of...Ch. 4.2 - The rigid beam supports the load of 60 kN....Ch. 4.2 - The 20-mm-diameter A-36 steel rod is subjected to...Ch. 4.2 - Segments AB and CD of the assembly are solid...Ch. 4.2 - The 30-mm-diameter A992 steel rod is subjected to...Ch. 4.2 - If the 20-mm-diameter rod is made of A-36 steel...Ch. 4.2 - The 20-mm-diameter 2014-T6 aluminum rod is...

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.

The intensity of the distributed load ( w ) that can be placed on the beam. To find : The displacement of point G ( δ G ) .

Concept explainers

Videos

The intensity of the distributed load (w) that can be placed on the beam. To find: The displacement of point G (δG) .

Want to see the full answer?

Chapter 4 Solutions

The intensity of the distributed load (w) that can be placed on the beam.

To find: The displacement of point G (δG) .