Plane Trusses
It is defined as, two or more elements like beams or any two or more force members, which when assembled together, behaves like a complete structure or as a single structure. They generally consist of two force member which means any component structure where the force is applied only at two points. The point of contact of joints of truss are known as nodes. They are generally made up of triangular patterns. Nodes are the points where all the external forces and the reactionary forces due to them act and shows whether the force is tensile or compressive. There are various characteristics of trusses and are characterized as Simple truss, planar truss or the Space Frame truss.
Equilibrium Equations
If a body is said to be at rest or moving with a uniform velocity, the body is in equilibrium condition. This means that all the forces are balanced in the body. It can be understood with the help of Newton's first law of motion which states that the resultant force on a system is null, where the system remains to be at rest or moves at uniform motion. It is when the rate of the forward reaction is equal to the rate of the backward reaction.
Force Systems
When a body comes in interaction with other bodies, they exert various forces on each other. Any system is under the influence of some kind of force. For example, laptop kept on table exerts force on the table and table exerts equal force on it, hence the system is in balance or equilibrium. When two or more materials interact then more than one force act at a time, hence it is called as force systems.
The crate weighing 400 lb is supported by three ropes concurrent at B.
Find the forces in ropes AB and BC if P = 460 lb.
![P Engineering Mechanics (Statics).
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V12 kN - m
-3m--3m-
-6 m
Fig. P4.32
4.33 The 1200-kg car is being lowered slowly onto the dock using the hoist A
and winch C. Determine the forces in cables BA and BC for the position shown.
22m,
-5.6 m
C
5.6 m
60
30
2.4 m
Fig. P4.33
Fig. P4.34, P4.-35
4.34 The crate weighing 4001b is supported by three ropes concurrent at B.
Find the forces in ropes AB and BC if P = 460 lb.
120 mm
75 mm -
4.35 Find the smallest value of P for which the crate in the Prob. 4.34 will be in
equilibrium in the position shown. (Hint: A rope can only support a tensile force.)
200 N-m
4.36 Determine the rope tension T for which the pulley will be in equilibrium.
4.37 The 60-kg homogeneous disk is resting on an inclined friction surface.
(a) Compute the magnitude of the horizontal force P. (b) Could the disk be in
equilibrium if the inclined surface were frictionless?
2 kN
Fig. P4.36
05 m
0.3 m
P
30
Fig. P4.37. P4.38
P Type here to search
9:13 pm
13/10/2020
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