Consider the overhang beam shown in (Figure 1). Suppose that P = 6 kN, M= 6 kN⋅m, w= 4 kN/m. Point D is located just to the left of the roller support at BB, where the couple moment acts. Follow the sign convention. Part A Determine the internal normal force at point D. Express your answer to three significant figures and include the appropriate units.
Consider the overhang beam shown in (Figure 1). Suppose that P = 6 kN, M= 6 kN⋅m, w= 4 kN/m. Point D is located just to the left of the roller support at BB, where the couple moment acts. Follow the sign convention. Part A Determine the internal normal force at point D. Express your answer to three significant figures and include the appropriate units.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Consider the overhang beam shown in (Figure 1). Suppose that P = 6 kN, M= 6 kN⋅m, w= 4 kN/m. Point D is located just to the left of the roller support at BB, where the couple moment acts. Follow the sign convention.
Part A
Determine the internal normal force at point D.
Express your answer to three significant figures and include the appropriate units.
Part B
Determine the internal shear force at point D.
Express your answer to three significant figures and include the appropriate units.
Part C
Determine the internal moment at point D.
Express your answer to three significant figures and include the appropriate units.
Part D
Determine the internal normal force at point E.
Express your answer to three significant figures and include the appropriate units.
Part E
Determine the internal shear force at point E.
Express your answer to three significant figures and include the appropriate units.
Part F
Determine the internal moment at point E.
Express your answer to three significant figures and include the appropriate units.
Transcribed Image Text:The diagram illustrates a cantilever beam setup.
- **Beam Structure**: The horizontal beam is anchored at point A and extends to point C.
- **Dimensions**: The beam from A to B is 3 meters, from B to D is 1.5 meters, and from D to E is 1.5 meters.
- **Loads and Moments**:
- A uniformly distributed load (w) acts downward along the beam.
- A moment (M) is applied at point B.
- **Support and Reaction**: The beam at point A is fixed to a wall.
- **External Force**:
- At point C, a cable is attached creating a tension force (P) with a directional angle defined by a 3-4-5 triangle.
- **Additional Details**: A blue curved arrow at point B suggests rotation or moment action.
This representation is useful for analyzing beam reactions, shear forces, bending moments, and deflection.
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