1.00 [kN] 2.00 [kN] B A 1.50 [m]- -3.00 [m]- C D 3.00 [kN] -3.00 [m]- 4.00 [kN] 1.50 [m] 0.750 [m]
Theory and Design for Mechanical Measurements
Measurement is a term that refers to analyzing a manufactured component regarding the degree of accuracy for dimensions, tolerances, geometric profile, roundness, flatness, smoothness, etc. Measurement always involves comparing the manufactured component or the prototype with a standard specimen whose dimensions and other parameters are assumed to be perfect and do not undergo changes with respect to time.Precisely in mechanical engineering the branch that deals with the application of scientific principles for measurements is known as metrology. The domain of metrology in general deals with various measurements like mechanical, chemical, thermodynamic, physical, and biological measurements. In mechanical engineering, the measurements are limited to mechanical specific such as length, mass, surface profile, flatness, roundness, viscosity, heat transfer, etc.
Basic principles of engineering metrology
Metrology is described as the science of measurement, precision, and accuracy. In other words, it is a method of measurement based on units and predefined standards.
What is the force existing in member AB and In member AD ? Unit kN
![The image presents a structural truss diagram, used to demonstrate force distribution and equilibrium in engineering. The truss consists of several interconnected members, denoted by points A, B, C, D, E, and F. Here is a detailed breakdown of each element:
### Truss Members and Joints:
- **Members**: AB, BC, CD, DE, EF, and AD
- **Joints**: A, B, C, D, E, F
### Forces Applied:
- **At Joint B**: 2.00 kN vertically downwards
- **At Joint C**: 1.00 kN vertically downwards
- **At Joint E**: 3.00 kN vertically downwards
- **At Joint F**: 4.00 kN vertically downwards
### Supports:
- **Support at A**: A triangular support indicating a pinned connection, allowing rotation but no translation.
- **Support at F**: A roller support indicating a connection allowing horizontal movement but no vertical translation.
### Dimensions:
- **Horizontal Distances**:
- Between A and D: 3.00 meters
- Between D and F: 3.00 meters
- Total horizontal span (A to F): 6.00 meters
- **Vertical Heights**:
- From A to B, D to E: 1.50 meters
- Vertical height from D to the apex C: 1.50 meters
- Vertical height from D to E (additional distance from D to middle point E): 0.750 meters
This diagram is frequently used in engineering and educational contexts to teach principles of static equilibrium, structural analysis, and force resolution within truss systems.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c49c29d-b734-4891-8a07-7c122a77a78d%2Fad23d4aa-3ab2-474d-b11e-66b960e80329%2Fyhcj84q_processed.jpeg&w=3840&q=75)
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