Anmelden

When designing or analyzing a structural member, it is important to consider the internal loadings developed within the member. These internal loadings include normal force, shear force, and bending moment. Engineers can ensure that the structural member can support the applied external forces by calculating these internal loadings.

To illustrate this, let's consider a beam OC of 5 kN, inclined at an angle of 53.13° with the horizontal and supported at both ends. Determine the internal loadings at point A.

Equation 1

For this, first, we need to calculate the reaction force at point C. We can do this by using the moment equation about point O and substituting the values.

Equation 1

This gives us the necessary information to determine the reaction force at point C in the horizontal direction, which is 1.87 kN.

Next, the weight of the beam, which is assumed to be acting at the center, is resolved into its components. Once we have calculated the reaction force at point C and resolved the weight of the beam, we can move on to determining the internal loadings at point A.

To accomplish this, consider an imaginary line passing through point A, dividing the beam into two sections. Then, a free-body diagram of the segment with the minimum unknown forces is drawn. By recalling the equilibrium equation and substituting the values of forces along the horizontal direction, the normal force in the section is obtained to be -5.12 kN. The negative sign indicates that the normal force on the cross-section is opposite to the direction assumed.

Similarly, by using the equilibrium equation and substituting the values of the vertical forces, we can determine the shear force in the section, which is 1.5 kN. Finally, using the moment equation, we can determine the magnitude of the moment at point A, which is obtained to be 8.94 kNᐧm.

By following these steps, the internal loadings at point A of the structural member can be determined. This problem-solving process is crucial for ensuring structural members can withstand the forces they are designed to support.

Tags

Internal LoadingsStructural MemberNormal ForceShear ForceBending MomentReaction ForceEquilibrium EquationFree body DiagramProblem solving ProcessStructural AnalysisBeam DesignApplied External Forces

Aus Kapitel 7:

article

Now Playing

7.4 : Internal Loadings in Structural Members: Problem Solving

Internal Forces

1.2K Ansichten

article

7.1 : Konvention unterzeichnen

Internal Forces

1.8K Ansichten

article

7.2 : Normal- und Querkraft

Internal Forces

1.9K Ansichten

article

7.3 : Biege- und Torsionsmomente

Internal Forces

3.3K Ansichten

article

7.5 : Balken

Internal Forces

1.3K Ansichten

article

7.6 : Scherdiagramm

Internal Forces

667 Ansichten

article

7.7 : Biegemoment-Diagramm

Internal Forces

879 Ansichten

article

7.8 : Beziehung zwischen der verteilten Last und der Schubkraft

Internal Forces

556 Ansichten

article

7.9 : Beziehung zwischen Schub- und Biegemoment

Internal Forces

874 Ansichten

article

7.10 : Schub- und Biegemomentdiagramm: Problemlösung

Internal Forces

1.2K Ansichten

article

7.11 : Kabel, die konzentrierten Lasten ausgesetzt sind

Internal Forces

736 Ansichten

article

7.12 : Kabel, das einer verteilten Last ausgesetzt ist

Internal Forces

585 Ansichten

article

7.13 : Kabel, das seinem Eigengewicht ausgesetzt ist

Internal Forces

377 Ansichten

article

7.14 : Kabel: Problemlösung

Internal Forces

289 Ansichten

JoVE Logo

Datenschutz

Nutzungsbedingungen

Richtlinien

Forschung

Lehre

ÜBER JoVE

Copyright © 2025 MyJoVE Corporation. Alle Rechte vorbehalten