**Truss Analysis Using the Method of Joints**The truss is loaded as shown in the accompanying diagram. The structure includes a horizontal beam spanning 8 meters, supported at points A, B, C, D, and E. The total height from the bottom support to the top beam is 3 meters.### Diagram Explanation:- **Truss Layout:** - The truss is composed of five joints: A, B, C, D, and E. - Members connect the joints in a triangular configuration, providing support and distributing loads.- **External Forces:** - Two 44 kN loads are applied vertically downward at points A and C.### Truss Analysis Using Method of Joints:- **Objective:** To find all member forces and reactions in kilonewtons. Assumptions are that the +x-axis is to the right, and the +y-axis is up.### Member Forces:1. **\( F_{AB} \)** - Magnitude: [Input Field] kN - Sense: [Dropdown Menu] "The magnitude is zero."2. **\( F_{AE} \)** - Magnitude: [Input Field] kN - Sense: [Dropdown Menu] "compression"3. **\( F_{BC} \)** - Magnitude: [Input Field] kN - Sense: [Dropdown Menu] "compression"4. **\( F_{BD} \)** - Magnitude: [Input Field] kN - Sense: [Dropdown Menu] "tension"5. **\( F_{BE} \)** - Magnitude: [Input Field] kN - Sense: [Dropdown Menu] "compression"6. **\( F_{CD} \)** - Magnitude: [Input Field] kN - Sense: [Dropdown Menu] "The magnitude is zero."7. **\( F_{DE} \)** - Magnitude: [Input Field] kN - Sense: [Dropdown Menu] "The magnitude is zero."### Reactions at Supports:- **\( C_{x} \)** - Magnitude: [Input Field] kN - Direction: [Dropdown Menu] "←"- **\( E_{x} \)** - Magnitude: [Input Field] k

Answered: Image /qna-images/answer/644fc941-2c17-43ec-aedc-dd26e73f8bd1.jpg

The truss is loaded as shown. 144 kN A B 3 m 4 m 4 m 44 kN Analyze it using the method of joints to find all member forces and reactions in kilonewtons. (Assume that the +x-axis is to the right and the +y-axis is up along the page. AB magnitude kN sense The magnitude is zero. AE magnitude kN sense compression Fec magnitude KN sense compression BD magnitude kN sense tension BE magnitude |kN sense |compression CD magnitude KN sense The magnitude is zero. ♥ FDE magnitude kN sense The magnitude is zero. V magnitude |kN direction magnitude |KN direction magnitude KN direction \\\\\

The truss is loaded as shown. 144 kN A B 3 m 4 m 4 m 44 kN Analyze it using the method of joints to find all member forces and reactions in kilonewtons. (Assume that the +x-axis is to the right and the +y-axis is up along the page. AB magnitude kN sense The magnitude is zero. AE magnitude kN sense compression Fec magnitude KN sense compression BD magnitude kN sense tension BE magnitude |kN sense |compression CD magnitude KN sense The magnitude is zero. ♥ FDE magnitude kN sense The magnitude is zero. V magnitude |kN direction magnitude |KN direction magnitude KN direction \\\\\

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: For the truss shown in the figure, determine (Approximately) the bar forces assuming that the…

Q: The pin is used to connect the three links together. Due to wear, the load is distributed over the…

Q: Solve using Joint Method. Determine Determinacy and Stability of Truss. A RAX C 3 kips RAy = 2 kips…

Q: The truss is loaded as shown. 9 ft ¥1,770 lb 升 B 6.8 ft 6 ft Analyze it using the method of joints…

A: Data given: Asked: Force in member AB, AC and BC along with support reactions at A and B

Q: METHOD OF JOINTS - PROBLEMS PRACTICE: Determine the force in each member of the Truss shown in the…

Q: F ANALYSIS OF STRUCTURE H = 150 KN 50 KN The truss shown in the figure is loaded with forces at the…

Q: 1 m √3 m D F 4. 1 m A B E √3 m A P

Q: Use the virtual work method to determine the deformation at joint B of the truss shown. 3 m A -2 m-…

Q: Determine the forces in members EH and El of the double Fink truss (positive if in tension, negative…

Q: the space truss

A: The given truss is space structure. On analysis a space structure, three dimensional vector…

Q: E=210Gpa Each member has a solid circular cross section with a diameter of D=5.98mm with a length of…

A: E= 200 GpaD= 5.98 mmL=240 mmF=350 NTo determine- Stress and internal axial force

Q: Problem 4 Determine the forces in the members indicated by x. 100 k

A: Since the given loading is symmetrical the reaction at the support will be half of the total load…

Q: 5 kN Use the method of Joints. Determine the B 3 kN force in each member of the truss and state if…

A: Given data Angle Point load Distance BC = CD To satisfy conditions of sum of angles of triangle.…

Q: A square box beam is made of two 20X80-mm planks and two 20X120-mm planks nailed together as shown.…

A: A square box beam is made of 80 x120 mm s=50 mm allowable shearing force= 300N As the maximum…

Q: Questions a/b c₁₂=c 200 10 E 5 0.291 m 20 40 289 10 0.312 200 0.323 0.328 10 1. 6.3 kNm torque is…

A: For given data:Torque = 6.3 kN-mLength of the shaft = 3mCross-sectional area, a= 5090 mm2Modulus of…

Q: Determine the forces in all members of the truss shown below.

A: Draw free body of pulley and forces at D as shown below since there is no data related to friction…

Concept explainers

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

100%

**Truss Analysis Using the Method of Joints**

The truss is loaded as shown in the accompanying diagram. The structure includes a horizontal beam spanning 8 meters, supported at points A, B, C, D, and E. The total height from the bottom support to the top beam is 3 meters.

### Diagram Explanation:
- **Truss Layout:**
- The truss is composed of five joints: A, B, C, D, and E.
- Members connect the joints in a triangular configuration, providing support and distributing loads.
- **External Forces:**
- Two 44 kN loads are applied vertically downward at points A and C.

### Truss Analysis Using Method of Joints:
- **Objective:**
To find all member forces and reactions in kilonewtons. Assumptions are that the +x-axis is to the right, and the +y-axis is up.

### Member Forces:
1. **\( F_{AB} \)**
- Magnitude: [Input Field] kN
- Sense: [Dropdown Menu] "The magnitude is zero."

2. **\( F_{AE} \)**
- Magnitude: [Input Field] kN
- Sense: [Dropdown Menu] "compression"

3. **\( F_{BC} \)**
- Magnitude: [Input Field] kN
- Sense: [Dropdown Menu] "compression"

4. **\( F_{BD} \)**
- Magnitude: [Input Field] kN
- Sense: [Dropdown Menu] "tension"

5. **\( F_{BE} \)**
- Magnitude: [Input Field] kN
- Sense: [Dropdown Menu] "compression"

6. **\( F_{CD} \)**
- Magnitude: [Input Field] kN
- Sense: [Dropdown Menu] "The magnitude is zero."

7. **\( F_{DE} \)**
- Magnitude: [Input Field] kN
- Sense: [Dropdown Menu] "The magnitude is zero."

### Reactions at Supports:
- **\( C_{x} \)**
- Magnitude: [Input Field] kN
- Direction: [Dropdown Menu] "←"

- **\( E_{x} \)**
- Magnitude: [Input Field] k

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 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, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

1) A simple supported beam is subjected to a 10 kN/m uniform distributed load over the 6m distance of A support. At the the B support there is a 40 kN.m moment. Using the double integration method; a) Draw the elastic curve of the cantilever beam b) Determine the slope and deflection at the point where the moment is maximum. c) Determine the slope and deflection at the point where the shear force equal to 12,5 kN. MIHA The 10 kN/m 6 m 2 m 40 kN/m
SOLVE STEP BY STEP IN DIGITAL FORMAT 2. CALCULATE THE FORCES IN ALL THE MEMBERS OF THE REINFORCEMENTS WITH THE METHOD OF THE KNOTS. 60 kN 20 kN 50 kN - 32 m 40 kN 6 m
8 kN 4 m 15 kN 5 kN 2 m 2 kN 2 m 2 m A B с D E The aluminum rod shown has a diameter of 20 mm and is subject to axial forces acting at A, B, C, and D. Assume the rod has a Young's modulus of E = 70 GPa. a) State the internal axial forces within sections AB, BC, CD, and DE. Remember to indicate whether they are in tension or compression b) What is the displacement of A relative to C? c) What is the displacement of A relative to E?
The question is in the picture. Thanks
SITUATION. Consider the space truss shown below: Z Zoom image Determine the force in member AC. B. 30% 5 kN 3 m 6 m 3 m
SOLVE STEP BY STEP IN DIGITAL FORMAT 2. CALCULATE THE FORCES IN ALL THE MEMBERS OF THE REINFORCEMENTS WITH THE METHOD OF THE KNOTS. 20 klb 30 klb 30 klb 40 klb C - 20 ft 40 klb B 14 ft D 14 ft F 14 ft
The rigid bar ABCD of negligible weight is initially horizontal, and the steel rods attached at A and C are stress-free. If a 20-kip load is applied, determine the vertical displacement in the bar at A and C that will cause a stress in the rod at C to be 50 ksi. Indicate the direction of movement. Use E = 29x106 psi for steel. A = 0.5 in.2 3 ft A B D 20 kips 2 ft2 ft- 4 ft 4 ft A =0.75 in.2
The T section shown below is the cross section of a beam form by joining two rectangular pieces of wood together. Determine the shearing stress at the neutral axis. Weight of the beam is negligible. W= 3Nim 6 0m
The state of stress at a point in a member is shown on the element. Determine the principal normal stresses and their orientation and the maximum in-plane shear stress and their orientation. Draw Mohr’'s circle and Show results on properly oriented elements. -60 30 -50 40 -40 T-30 30 30 -20 40 30 -10 -60 -50 -40 -30 -20 -10 30 40 50 10 20 бо 10 20 30 40 50 60
Calculate all the member forces in the given truss using method of consistent deformation. Joint D is pinned supported and joint E is roller supported. F=4450 kN and L=8m. Take 'EA' same for all members В F 1 2 L 3 5 4 E
Provide solution and mention all steps
Consider the truss shown. Suppose that F = 4.5 kN A) Determine the force in member AF and state if the member is in tension or compression B) Determine the force in member BF and state if the member is in tension or compression C) Determine the force in member BC and state if the member is in tension or compression