### Truss Analysis Example#### Determine the force in each member of the loaded truss. The forces are positive if in tension, negative if in compression.Assume:- \( F_1 = 3930 \text{ lb} \)- \( F_2 = 2590 \text{ lb} \)- \( a = 3.4 \text{ ft} \)- \( b = 5.2 \text{ ft} \)- \( c = 2.3 \text{ ft} \)- \( d = 3.0 \text{ ft} \)#### Diagram:Below is the schematic of the truss with labeled points and forces.``` C |\ | \ | \ d | \ | \ | \ B------D |\ | | \ | c | \ | b | \ | | E | | / | A--|---| aForces: F1 ↓ (at A) F2 ↓ (at E)```#### Calculations:Below are the computed forces in each member of the truss:- \( AB = 7013.98237 \text{ lb} \) (This member is in tension)- \( AE = -5809.56528 \text{ lb} \) (This member is in compression)- \( BC = -5809.56528 \text{ lb} \) (This member is in compression)- \( BD = -5809.56528 \text{ lb} \) (This member is in compression)- \( BE = 2590 \text{ lb} \) (This member is in tension)- \( CD = \text{Value Not Provided} \) - \( DE = -5809.56528 \text{ lb} \) (This member is in compression)#### Graphical Representation:The diagram above visually represents the truss system. The arrows indicating forces \( F_1 \) and \( F_2 \) point downwards, showing the direction of the applied loads.The solved force values indicate whether each member of the truss is in tension (positive values) or compression (negative values):- Members in tension resist being pulled apart.- Members

###Determination of members forces of truss using method of joint ###

Determine the force in each member of the loaded truss. The forces are positive if in tension, negative if in compression. Assume F₁-3930 lb, F₂-2590 lb, a = 3.4ft, b= 5.2 ft. c = 2.3 ft, and d = 3.0 ft.

Determine the force in each member of the loaded truss. The forces are positive if in tension, negative if in compression. Assume F₁-3930 lb, F₂-2590 lb, a = 3.4ft, b= 5.2 ft. c = 2.3 ft, and d = 3.0 ft.

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: Determine the force in member CG. The force is positive if in tension, negative if in compression.…

Q: Determine the forces in all bars. Indicate tension or compression

Q: P B L 3 in. The largest allowable length Lis -18 3 in. 4 in. ft.

Q: The signboard truss is designed to support a horizontal wind load of 775 lb. A separate analysis…

Q: Determine the forces in members AC and BD of the inverted pyramidal truss with rectangular base. The…

Q: Determine all the member forces of the given truss in kN. Indicate as negative if compression and no…

A: Determine the force in each members of the truss. Let's solve using method of joints.

Q: Determine the force in each member of the loaded truss. The force is positive if in tension,…

Q: Please draw diagram

A: . This method involves the following steps:1. **Determine the degree of indeterminacy**: - The…

Q: 5

Q: Determine the force in member CG. Assume F₁ = 6 kips, F₂ = 7 kips, F3 = 1 A H 10' G B 10'

Q: Method (show them separately) and assuming the joist loads to be uniformly distributed on each…

Q: Using the method of joints, determine the internal forces in each member of the truss. Show your…

A: Compute the support reactions using the equilibrium condition:

Q: Assume h = 1.0d. J TR H L F d d E D L d d B L h

Q: All angles in this bridge are either 90 degrees or 45 degrees Suppose that the applied force F =…

A: Given:F = 250.0 NRequired:Force in member between joints 1and 2

Concept explainers

Plane and Space Trusses

In civil engineering, a truss is the most important structure that forms the most fundamental member of any building structure and commercial complexes. Trusses are composed of individual members or links that are interconnected by suitable joints, such as rivets, welds, or bolts, and nuts. In trusses, the interconnection leads to the formation of a series of triangles joined together such that all the triangular members behave as a single rigid body. In a simple truss, three members are connected to form a truss member. In trusses, the force always acts at the joints or the interconnection between the individual members.

Question

### Truss Analysis Example

#### Determine the force in each member of the loaded truss. The forces are positive if in tension, negative if in compression.
Assume:
- \( F_1 = 3930 \text{ lb} \)
- \( F_2 = 2590 \text{ lb} \)
- \( a = 3.4 \text{ ft} \)
- \( b = 5.2 \text{ ft} \)
- \( c = 2.3 \text{ ft} \)
- \( d = 3.0 \text{ ft} \)

#### Diagram:
Below is the schematic of the truss with labeled points and forces.

```
C
|\
| \
| \
d | \
| \
| \
B------D
|\ |
| \ |
c | \ | b
| \ |
| E |
| / |
A--|---|
a

Forces:
F1 ↓ (at A)
F2 ↓ (at E)
```

#### Calculations:
Below are the computed forces in each member of the truss:

- \( AB = 7013.98237 \text{ lb} \) (This member is in tension)
- \( AE = -5809.56528 \text{ lb} \) (This member is in compression)
- \( BC = -5809.56528 \text{ lb} \) (This member is in compression)
- \( BD = -5809.56528 \text{ lb} \) (This member is in compression)
- \( BE = 2590 \text{ lb} \) (This member is in tension)
- \( CD = \text{Value Not Provided} \)
- \( DE = -5809.56528 \text{ lb} \) (This member is in compression)

#### Graphical Representation:
The diagram above visually represents the truss system. The arrows indicating forces \( F_1 \) and \( F_2 \) point downwards, showing the direction of the applied loads.

The solved force values indicate whether each member of the truss is in tension (positive values) or compression (negative values):
- Members in tension resist being pulled apart.
- Members

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: Introduction

VIEW

Step 2: Determination of member forces using method of joint

VIEW

Step 3: Using method of joint

VIEW

Solution

VIEW

Step by step

Solved in 4 steps with 4 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

Determine the forces in members CG and GH of the symmetrically loaded truss. The forces are positive if in tension and negative if in compression. B 5 m A 77 Answers: CG= i GH = i -5 m 30° 5 m H -6 m L eTextbook and Media G L D -5 m L L L 2 E
How do i solve the attached trusses/civil engineering problem?
Rigid beam ABC is supported by a pinned connection at C and by an inclined strut that is pin-connected at B and D as shown. The strut is fabricated from two steel [E = 200 GPa] bars, which are each d= 77 mm wide and b = 17 mm thick. Between B and D, the bars are separated and connected by two spacer blocks, which are s= 30 mm thick. Assume that LAB = 0.75 m, LBc = 1.85 m, LcD = 1.60 m, P = 70 kN, The strut cross section is also shown. Determine (a) the compression force in strut BD that is created by the loads acting on the rigid beam. (b) the slenderness ratios for the strut about its strong and weak axes. (c) the minimum factor of safety in the strut with respect to buckling. P A Answers: (a) FBD = (b) (L/r) horz = LCD (L/r) vert = (c) FS= LAB B spacer blocks 150.43 110.041 i 498.471 i 0.138 LBC (1) kN D Spacer block b S b
3