**Problem 3: Analysis of a Compound Beam**The compound beam illustrated in the figure consists of two beams, AB and BC, which are connected at point B with a pin. This system is subjected to a variety of loads, including a distributed force, a point load, and a couple moment.1. **Support Reactions:** - Calculate the reaction forces at supports A (left end) and C (right end), as well as the force exerted at pin B.2. **Shear-Force and Bending-Moment Diagrams:** - Use the shortcut method to construct the shear-force and bending-moment diagrams for the entire beam assembly.3. **Maximum Values:** - Identify the maximum shear force and bending moment values along with their precise locations on the beam.**Figure Explanation:**- **Beam AB:** - The left portion (AB) begins at support A. - It is subjected to a linearly distributed load increasing from 0 to 12 lb/in over a span of 6 inches (5 in to 11 in).- **Beam BC:** - Middle beam BC starts at B and ends at C. - Immediately after A, a point load of 60 lb is applied 8 inches to the right of pin B. - A couple moment of 120 lb·in acts 5 inches before support C.- **Supports:** - A is a fixed support. - C is a roller support. The entire beam spans 31 inches: 5 inches to the first section, plus 6 inches to the peak of the triangular distributed load, 7 inches to pin B, another 5 inches past B, and a final 7 inches to support C.

3. The compound beam given in the figure is composed of a pair of beams, AB and BC, connected by a pin at B. The compound beam is subjected to a distributed force, a point force, and a couple moment. a. Compute the reactions at the supports A and C, and the force on pin B. b. Use the shortcut method to draw the shear-force and bending-moment diagrams for the entire compound beam. c. Determine the maximum values of shear force and bending moment for the compound beam along with their locations. A 5 in 6 in 12 lb/in 7 in Pin 8 in 60 lb I B 5 in 120 lb.in 7 in C

3. The compound beam given in the figure is composed of a pair of beams, AB and BC, connected by a pin at B. The compound beam is subjected to a distributed force, a point force, and a couple moment. a. Compute the reactions at the supports A and C, and the force on pin B. b. Use the shortcut method to draw the shear-force and bending-moment diagrams for the entire compound beam. c. Determine the maximum values of shear force and bending moment for the compound beam along with their locations. A 5 in 6 in 12 lb/in 7 in Pin 8 in 60 lb I B 5 in 120 lb.in 7 in C

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

Related questions

Q: Q1 A horizontal beam BC is subjected to uniformly distributed load, w and at the same time it is…

A: NOTE:- here, young modulus of elasticity (E) is not mentioned so i kept it as a variable. For…

Q: A simply supported beam of a total length lis shown in Figure Q5, where point A supported by a pin…

Q: Problem 4: Use equilibrium to analyze the structure. B is an internal hinge. A 400 lb/ft -4 ft- H -2…

A: Freebody diagram of the beam:Convert uniformly distributed load to point load:

Q: For the beam shown, the magnitude of the concentrated load is P = 21 kN, the magnitude of the couple…

Q: 2. Note the loaded beam shown in figure 2. Point A is at x = 0 m, point B is at point x = 6 m, and…

A: Given Data: The uniformly distributed load is w = 20 kN/m. The moment acting at point C is MC = 200…

Q: The beam shown below carries point and linearly distributed loads and is supported by a pin on the…

Q: Determine the single equivalent force and the distance from point A to its line of action for the…

Q: ystems 20 The beam shown carries vertical concentrated loads. Calculate the reaction at each…

Q: Parvinbhai

A: The objective of the question is to find the reactions at the pin joint A and the simple support B…

Q: H a P P P 6 panels at 10 m = 60 m Figure Q4(a)

Q: Note that x = 0 at support A. When entering your answers, use the bending-moment sign convention…

Q: In figure, there is a single rigid beam supported at two points: A and B. Calculate the reaction…

Q: The simply supported beam with a rectangular cross-sectional area is designed to support the loading…

Q: Draw the moment diagrams for the beam shown in (Eigure 1) using the method of superposition.…

Q: Ore is to be transported along a conveyor belt in a refinery. Figure Q1 shows an idealised beam…

A: Apply force equilibrium in horizontal direction.Apply moment equilibrium about point C.Apply force…

Q: The beam shown is supported by a Roller at C and is fixed to the wall at A. The beam has an internal…

Q: Find Shear force and Bending Moment value at each respective junction. Draw shear V and moment M…

A: Given over hangin beam

Question

**Problem 3: Analysis of a Compound Beam**

The compound beam illustrated in the figure consists of two beams, AB and BC, which are connected at point B with a pin. This system is subjected to a variety of loads, including a distributed force, a point load, and a couple moment.

1. **Support Reactions:**
- Calculate the reaction forces at supports A (left end) and C (right end), as well as the force exerted at pin B.

2. **Shear-Force and Bending-Moment Diagrams:**
- Use the shortcut method to construct the shear-force and bending-moment diagrams for the entire beam assembly.

3. **Maximum Values:**
- Identify the maximum shear force and bending moment values along with their precise locations on the beam.

**Figure Explanation:**

- **Beam AB:**
- The left portion (AB) begins at support A.
- It is subjected to a linearly distributed load increasing from 0 to 12 lb/in over a span of 6 inches (5 in to 11 in).
- **Beam BC:**
- Middle beam BC starts at B and ends at C.
- Immediately after A, a point load of 60 lb is applied 8 inches to the right of pin B.
- A couple moment of 120 lb·in acts 5 inches before support C.
- **Supports:**
- A is a fixed support.
- C is a roller support.

The entire beam spans 31 inches: 5 inches to the first section, plus 6 inches to the peak of the triangular distributed load, 7 inches to pin B, another 5 inches past B, and a final 7 inches to support C.

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!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given data

VIEW

Step 2: Convert uniformly distributed and varying load into point loads

VIEW

Step 3: Calculation of support reactions

VIEW

Step 4: Calculation of shear force diagram

VIEW

Step 5: Calculation of bending moment diagram

VIEW

Step 6: Calculation of bending moment diagram

VIEW

Step 7: Calculation of maximum bending moment and its location

VIEW

Step 8: Draw shear force and bending moment diagram

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 9 steps with 8 images

SEE SOLUTION Check out a sample Q&A here

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

Need help with this Q.
A propped cantilever beam is loaded by a bending moment of the magnitude M_B at the point B as shown in Figure Q1. The cross-section of the beam is a rectangle of the width w and the hight ℎ that are constant along the length of the beam L. The beam material’s Young’s modulus is Q. Assuming the positive deflections and positive vertical reaction forces are upward, calculate the value of the reaction forces at points A and B the absolute value of the reaction bending moment at point A A) Let R represent the reaction force at Support B. By releasing the beam at Support B and imposing a force R at Point B, the deflection of the beam consists of two parts,i.e. Part I- the deflection caused by M_B ; Part II- the deflection caused by R Please treat R, w, h , L , E as variables in this step , the mathematical equation for the deflection at Point B caused by R ( Part II) can be written as: b) Using the provided data: cross-section width w = 14 mm, cross-section hight h = 82…
For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a-3.25 m, b=4.75 m, Pg - 35kN, and Pc = 80kN. Construct the shear- force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. A Ay- 58.66 - Dy- Calculate the reaction forces A, and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) Answers: a 56.33 (a) V= (b) V- (c) V- B i i PB B kN с kN C Determine the shear force acting at each of the following locations: (a) x-2m (b)x - 4 m (c) x-8 m Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. 3 3 3 KN D b kN D ·x Dy
For the loaded beam shown in Figure below : 2.1.Determine the reaction forces at the points of support of the beam in Figure Q2 above by applying the principle of equilibrium of moments and start your solution by drawing free body diagram of the beam. 2.2. Develop the equations for shear force and bending moment for the spans AB, BC and CD of the loaded beam shown above and for each equation developed, determine the values of shear forces and bending moment at the points A, B, C and D 2.3. Draw the shear force and bending moment diagrams for the loaded beam shown above.
a beam is supported by a pin support at A and a roller support at B. For this question, leave your answer in terms of the variables w and L. (a) Using equilibrium of the full beam, find the support forces at A and B. (b) First section: Make an arbitrary cut between points A and B. Take the distance of the cut to be x along the beam from point A. Draw the free-body diagram for the left section and find functions for the internal shear force, V(x), and bending moment, M(x), in the section of the beam between A and B. (c) Second section: Repeat part (b) for the section of the beam between B and C. Take x to still be the distance from point A. (f) Find the value of x at which V(x) = 0. The internal bending moment reaches a maximum at the same point as V(x) = 0. Find the maximum bending mo- ment. pin Sketch the shear and bending moment diagrams. B L W C roller
please answer it with ; given, solution, diagrams/ drawing, answer please expain part by part
The channel shape cross-section and the rectangular cross-section shown in the Figure Q4 are made of materials with elastic-perfectly plastic behaviour. The yield stress of the material used for the channel shape cross-section is oy = 473 MPa, whereas that used for the rectangular cross- section is 0.850y. Compute the thickness of the web, t, of the channel shape section if the two cross sections have identical plastic bending moment about the z-axis. In Figure 4, h= 77 mm, b=46 mm, a=11 mm, H=77 mm, d= 46 mm N b h a + N a | d H
ANSER FAST
you are asked to: a. Derive the equations for V and M for each segment. b. Draw the shear and moment diagram. c. Vmax e. Mmax and location
Please solve for all and include all steps. Thx