STATIC MECHANICS
MM103: ENGINEERING MECH.
Seci Durivou (s11098325)
Jessie Fong (s11160042)
MINI PROJECT POSTER
School of Engineering and Physics, USP
CONTRIBUTIN OF STATICS TO MECHNAICAL ENGINEERING
Abstract
The purpose of this research is about the study of the
history Statics and how it contribute to Engineering field
of works as this is a solution to technical difficulties . This
comprise the analysis of loads acting on a stationary
objects and all some others basic concepts of Statics. This
included the theoretical study of the physical condition of
static equilibrium and how it contribute to resolve the
static problems.
Background
Mechanics is the necessary piece of mechanical designing. As a
field of training, it began from the hour of Aristotle. A
significant number of the ideas gave by Aristotle are refuted,
for instance, his idea that the movement proceeds with just up
to a power is applied on it. Nonetheless, he began a convention
of rationale in understanding the elements of bodies.
Archimedes contributed a great deal to mechanics and created
numerous machines. His rule of lightness is instructed in
schools these days. The achievement in mechanics came since
the hour of Galileo. The standards of Galileo and Newton are
utilized by mechanical specialists significantly. In statics, is a
special case where the equations are apply only approximately
to many things. When both the linear and angular acceleration
are zero, the system can be consider as static equilibrium.
STATIC EQUILIBRIUM STEPS
The study of mechanics is fixated on the investigation of the movement of an actual object
exposed to different sorts of mechanical loading. From the causality perspective, a mechanical
cause to an actual object will bring about the mechanical reactions. Statics focus on Newtonian
or the Traditional Mechanics, which neglects the connections of units on a subatomic gage and
the connections concerning qualified speeds close to the speed of light. Over a wide scope of
article sizes and speeds, classical mechanics is found to concur well with exploratory
perceptions. In his Principia, Sir Isaac Newton expressed the laws whereupon traditional
mechanics is based. According to Newtonians point of view on mechanics, the problems on
statics have a special case in which the Newton's 2nd Law right- hand side becomes zero. It
should be eminent that zero acceleration suggests two motion conditions, either displacement
is zero (Motionless) or uniform speed movement. Normally, two ideal actual object are
measured for hypothetical improvement in statics. A molecule is a point object be made up of a
mass, whereas a rigid body is a item with boundless firmness (rigid) with minimal distortion.
Statics Mechanics contribute a lot to these modern era. Engineers have come up with a lot of
new ideas and designs so they have to precise with their calculations and analysis. Engineers
have to improve the measurements to calculate the outcome of force and motion while carrying
out resourceful project role of engineering. This capability involves more than a simple
understanding of the physical and mathematical standard of statics mechanics, also vital is the
skills to visualiase physical structures in terms of real material, genuine restraint, and the
applied limitations which accomplish the behavior of machines and structure. Finally, STATICS
analysis allow the engineers to improve this skills to visualize the problem before doing any
further analysis. Certainly, the construction of a key mathematical model is habitually a more
significant involvement than its solutions. Extreme improvement is complete when the ethics
and heir restrictions are studied inside the context of engineering application.
An inelastic object is in static equilibrium if the net force is
zero at each point on the object, and the net power on the
object is zero
STEP 1
• Draw an protracted free body diagram demonstrating
the strength and their positions on the object
STEP 2
• Convert the diagram to its mathematical equivalent,
start with mark the equivalence for net force.
𝚺𝑭𝒚 = 𝟎 = −𝑵𝟏 − 𝒎𝒈 + 𝑵𝟐 + 𝑵𝟑 − 𝑵𝟒
STEP 3
• Select a pivot and mark the equation for the net torque
about that point.
𝚺𝑻𝒄𝒆𝒏𝒕𝒆𝒓 = 0 = 𝑁1 𝑟1 − 𝑁2 𝑟2 + 𝑁3 𝑟3 − 𝑁4 𝑟4
STEP 4
• Algebraically resolve for the unidentified quantity.
Conclusions/Recommendations
To conclude, the history of Statics was study and the theory of
statics was analysis using the Newton’s 2nd Law of motion.
The statics equilibrium steps used to analysis the static
problems. With the help of free body diagram, one can
visualize the problem before doing any further analysis.
Extreme improvement is complete when the ethics and heir
restrictions are studied inside the context of engineering
application. Statics contribute a lot to Engineering Mechanics
because it allows engineer improve this skills to visualize the
problem before doing any further analysis.
STATIC EQUILIBRIUM
1st Equilibrium Condition – Static Equilibrium of a Body Express translational equilibrium
∞
𝐹 = 𝛴𝑚𝑛 𝑎𝑛 = 𝑚1 𝑎1 + 𝑚2 𝑎2 + ⋯ + 𝑚𝑛 𝑎𝑛 = 0
For vector equation:
Project Goals/Objectives
∞𝐹
𝑛 𝑥
∞
= 0,
𝑛
𝐹𝑦 = 0,
𝑛
∞𝐹
𝑛 𝑧
Acknowledgments
=0
•
For rotational acceleration:
•To describe the History of Statics Mechanics
•Provide the derivation to prove the theory of
•Provide steps to Solve Statics Equilibrium Problems
•Describe how Statics contribute to Mechanics
∞
•
•
𝜏𝑛 = 𝐼𝛼
𝑛
The rotational acceleration is ZERO, the 2nd Equilibrium is obtain:
Firstly, I would like the thank the God Almighty for giving strength and
wisdom to complete this project
Secondly, my Project partner Jessie Fong for her contribution to project
Finally, to Mr. Jay Goundar for his lecture slides that the members of the
group are able to extract some useful information from it
2nd Equilibrium Condition – Static Equilibrium of a Rigid Body articulates rotational equilibrium
∞
𝜏𝑛 = 0
𝑘
For vector Equation:
∞
𝑛
∞
𝜏𝑛𝑥 = 0,
𝑛
𝜏𝑛𝑦 = 0,
𝑛
References
∞
𝜏𝑛𝑧 = 0
𝑛
•
John, L.J (1928) “Theatrical Mechanics: Statics and Dynamic of a
Particle”, 2nd edn, Cambridge University Press. Pp201-203