Sign In

6.9 : Method of Sections: Problem Solving II

Consider an arbitrary truss structure composed of diagonal, vertical, and horizontal members fixed to the wall. To calculate the force acting on members CB, GB, and GH, method of sections can be used. The loads and lengths of the horizontal and vertical members are known parameters, as shown in the figure.

Figure 1

To begin, a cut is made along a plane intersecting CB, GB, and GH members, and a free-body diagram of the right side section is drawn.

Figure 2

The moment equilibrium equation about point G is applied.

Equation 1

The result gives the force along member CB as 4 kN, with a positive sign indicating tension in the member.

Now, FCB can be expressed using a slope triangle in BCG, while FGH can be expressed using a slope triangle in CEG. Considering the summation of vertical and horizontal forces, the force equilibrium equations can be written as the following:

Equation 2

Equation 3

The value of FCB is substituted, and the force equilibrium equations are solved simultaneously. The result yields the force FGH as -7.454 kN and FGB as 3.772 kN. The negative sign of FGH indicates that the force is compressive, while the positive sign for FGB indicates the tensile force.

Tags
Method Of SectionsTruss StructureForce CalculationMembers CBGBGHFree body DiagramMoment EquilibriumTensionSlope TriangleForce Equilibrium EquationsCompressive ForceTensile Force

From Chapter 6:

article

Now Playing

6.9 : Method of Sections: Problem Solving II

Structural Analysis

717 Views

article

6.1 : Introduction to Structures

Structural Analysis

738 Views

article

6.2 : Simple Trusses

Structural Analysis

1.2K Views

article

6.3 : Method of Joints

Structural Analysis

499 Views

article

6.4 : Method of Joints: Problem Solving I

Structural Analysis

768 Views

article

6.5 : Method of Joints: Problem Solving II

Structural Analysis

326 Views

article

6.6 : Zero-Force Member

Structural Analysis

1.1K Views

article

6.7 : Method of Sections

Structural Analysis

367 Views

article

6.8 : Method of Sections: Problem Solving I

Structural Analysis

325 Views

article

6.10 : Space Trusses

Structural Analysis

648 Views

article

6.11 : Space Trusses: Problem Solving

Structural Analysis

472 Views

article

6.12 : Frames

Structural Analysis

415 Views

article

6.13 : Frames: Problem Solving I

Structural Analysis

280 Views

article

6.14 : Frames: Problem Solving II

Structural Analysis

121 Views

article

6.15 : Machines

Structural Analysis

160 Views

See More

JoVE Logo

Privacy

Terms of Use

Policies

Research

Education

ABOUT JoVE

Copyright © 2025 MyJoVE Corporation. All rights reserved