Mechanical Principles: Static and Dynamic Mechanical Systems, Damped Vibrations, and Mechanical Power Transmission

Mechanical Principles 1
Mechanical Principles
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Mechanical Principles 2
Task 1: Static Mechanical System
Section 1: For Shear force, bending moments and stress due to bending calculate the
distribution into simply supported beam.
The figure below indicates the simply supported beam in line with bending moments and shear
force (Rashid 2017).
The supported reactions in the system mainly illustrated as indicated below
In this case, the shear forces acting in the systems equals the vertical forces and hence;
Plotting of shear forces leads to the development of the below graph (Rashid 2017).

Mechanical Principles 3
Bending Moments mainly computed as
Bending Moments analysis mainly illustrated as shown in the figure below (Rashid 2017).
Section 2: Justify the selection of standard rolled steel sections for beams and columns
The selection of beams mainly requires the application of section modulus. This is essentially
obtained via the division of maximum bending moments by the parametric allowable stress for

Mechanical Principles 4
the standard rolled steel. However, there is need to have allowable safety factor. The equation for
the analysis mainly given as shown below
Tensions as well as compressional forces are essential factors to be incorporated in the analysis.
In essence, the allowable stresses mainly established to be the same in the event that there is a
cross-sectional area which tends to go through the parametric center of the neutral axis beam
height. The weight minimization in a beam slab mainly attained by using the beam elements with
the both the smallest mass and cross-sectional area. Another important criterion is how often the
material buckles and thus, is defined by the application of the slenderness ratio. The equation for
the norm mainly appraised as indicated below
The analysis for the various standard rolled steel and various shapes in which they exist mainly
appraised as indicated in the diagram below