mal forces in structural members under different port conditions. Part A - Internal Loading Due to a Variable, Distributed Load ctural member, it is necessary to know the resultant ents within the member to ensure the material will rt the loading. The method of sections is used to al loadings. Consider the cantilever beam shown in Consider the cantilever beam and loading shown in the image below where d = 6.00 m, wR = 530 N/m, and wa = 290 N/m. (Figure 3) Determine the magnitudes of the internal loadings on the beam at point C. dings acting on the beam at B are to be make an imaginary cut at section a-a perpendicular beam and separate the beam into two segments. lings at B then become external on the free-body segment, as shown in the image below Express your answers, separated by commas, to three significant figures. > View Available Hint(s) onent NB acting perpendicular to the cut, or is of the beam, is called the normal force; the force acting tangentially to the cut, or perpendicular to eam, is called the shear force; the couple moment e bending moment. The forces and moments acting ents act in opposite directions, as required by w, and can be determined by applying the tions to the free-body diagram of either segment. vec Nc =, Vc =, Mc = N, N, N- m Submit itural member is homogeneous and is not
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.
![Item 1
Learning Goal:
To calculate internal forces in structural members under different
loading and support conditions.
Part A - Internal Loading Due to a Variable, Distributed Load
To design a structural member, it is necessary to know the resultant
forces and moments within the member to ensure the material will
be able to support the loading. The method of sections is used to
determine internal loadings. Consider the cantilever beam shown in
Consider the cantilever beam and loading shown in the image below where d = 6.00 m, wp = 530 N/m, and wa = 290 N/m.
(Figure 3)
Determine the magnitudes of the internal loadings on the beam at point C.
the image below:
(Figure 1)
If the internal loadings acting on the beam at B are to be
determined, we make an imaginary cut at section a-a perpendicular
to the axis of the beam and separate the beam into two segments.
The internal loadings at B then become external on the free-body
diagram of each segment, as shown in the image below
(Figure 2)
The force component NB acting perpendicular to the cut, or
parallel to the axis of the beam, is called the normal force; the force
component Vg acting tangentially to the cut, or perpendicular to
the axis of the beam, is called the shear force; the couple moment
Mg is called the bending moment. The forces and moments acting
on the two segments act in opposite directions, as required by
Newton's third law, and can be determined by applying the
equilibrium equations to the free-body diagram of either segment.
Express your answers, separated by commas, to three significant figures.
> View Available Hint(s)
Nνα ΑΣφ
I1 vec
?
Nc =, Vc =, Mc =
N, N, N - m
Submit
Provided the structural member is homogeneous and is not
irreversibly deformed, these loadings can be considered to act at
the centroid of the member's cross-section.
Part B - Internal Loading on a Semicircular Member
The customary sign conventions are to say the normal force is
positive if it creates tension, the shear force is positive if it causes
the beam segment to rotate clockwise, and a bending moment is
positive if it causes the beam to bend concave upward. Oppositely-
acting loadings are considered negative.
Consider the semicircular member and loading shown in the image where d = 0.750 m and F = 65.0 N.
(Figure 4)
Determine the magnitudes of the internal loadings on the beam at point B.
Express your answers, separated by commas, to three significant figures.
• View Available Hint(s)
Figure
< 1 of 4 >
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V AZO It vec
P2
a
NB =, VB =, MB =
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a
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