The problem presents a simply supported beam with two point loads. The beam is supported at points A and C. A downward force of $60 \text{ kN}$ is applied at point B, which is $2 \text{ m}$ from A. A downward force of $30 \text{ kN}$ is applied at point D, which is $1 \text{ m}$ beyond point C. The reactions at A and C are $R_1 = 35 \text{ kN}$ and $R_2 = 55 \text{ kN}$, respectively. The shear force and bending moment diagrams are also provided. The question does not explicitly state what needs to be calculated. I will summarize key information from the diagrams.
Applied MathematicsStructural MechanicsBeam AnalysisShear Force DiagramBending Moment DiagramStatics
2025/5/15
1. Problem Description
The problem presents a simply supported beam with two point loads. The beam is supported at points A and C. A downward force of is applied at point B, which is from A. A downward force of is applied at point D, which is beyond point C. The reactions at A and C are and , respectively. The shear force and bending moment diagrams are also provided. The question does not explicitly state what needs to be calculated. I will summarize key information from the diagrams.
2. Solution Steps
From the shear diagram:
The shear force between A and B is .
The shear force between B and C is .
The shear force between C and D is .
From the moment diagram:
The maximum positive moment occurs at B and is .
The moment at D is .
The bending moment at A and C are both
0.
3. Final Answer
Maximum positive bending moment:
Bending moment at D: