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These are the Lecture Slides of Engineering Mechanics Statics which includes Free Body Diagrams, Magnitude and Direction of Forces, Coordinate System, Newton's Third Law, Structural Supports, Sliding and Free Vectors, Center of Gravity, Center of Gravity, Plane of Symmetry etc.Key important points are: Multipiece Structures, Forces of Action and Reaction, Point of Appliction, Force Transmissibility, Force of Interest, Generation of Simultaneous Eqns, Method of Sections, Static Equilibrium, Free
Typology: Slides
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A truss consists of straight members connected at joints. No member is continuous through a joint.
Bolted or welded connections are assumed to be pinned together. Forces acting at the member ends reduce to a single force and NO couple. Only two-force members are considered LoA CoIncident with Geometry
A truss carries ONLY those loads which act in its plane , allowing the truss to be treated as a two-dimensional structure.
When forces tend to pull the member apart, it is in tension. When the forces tend to push together the member, it is in compression.
m r 2 n
non-rigid
m 2 n 3
rigid m 2 n 4
To determine the force in member BD, pass a section through the truss as shown and create a free body diagram for the left side. With only three members cut by the section, the equations for static equilibrium may be applied to determine the unknown member forces, including FBD
When the force in only one member or the forces in a very few members are desired, the method of sections works well.
Determine the force in
members just right of Center:
SOLUTION PLAN
Apply the conditions for static equilibrium to determine the desired member forces.
7.50kN 10 m 1 kN 5 m 5. 33 m 0
GI
GI
H
FGI 13. 13 kN T
cos 8 m 0
7.5kN 15 m 1 kN 10 m 1 kN 5 m
15 m
8 m tan
FH
FH
G
1 kN 10 m 1 kN 5 m cos 15 m 0
8 m
5 m tan 3 2
GH
GH
L