Sign In

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

836 Views

article

6.1 : מבוא למבנים

Structural Analysis

916 Views

article

6.2 : טרסות פשוטות

Structural Analysis

1.5K Views

article

6.3 : שיטת המפרקים

Structural Analysis

649 Views

article

6.4 : שיטת המפרקים: פתרון בעיות I

Structural Analysis

946 Views

article

6.5 : שיטת המפרקים: פתרון בעיות II

Structural Analysis

439 Views

article

6.6 : חבר אפס כוח

Structural Analysis

1.3K Views

article

6.7 : שיטת הסעיפים

Structural Analysis

509 Views

article

6.8 : שיטת הסעיפים: פתרון בעיות I

Structural Analysis

437 Views

article

6.10 : טרסות חלל

Structural Analysis

712 Views

article

6.11 : קורות חלל: פתרון בעיות

Structural Analysis

523 Views

article

6.12 : מסגרות

Structural Analysis

475 Views

article

6.13 : מסגרות: פתרון בעיות I

Structural Analysis

357 Views

article

6.14 : מסגרות: פתרון בעיות II

Structural Analysis

162 Views

article

6.15 : מכונות

Structural Analysis

217 Views

See More

JoVE Logo

Privacy

Terms of Use

Policies

Research

Education

ABOUT JoVE

Copyright © 2025 MyJoVE Corporation. All rights reserved