Objectives
• To demonstrate how 2-D equations of equilibrium
apply to a rigid-body (in which not all forces
converge at a point)
• To practice drawing free-body diagrams
• To identify two-force members
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SOLIDS AND STRUCTURES- PIN-JOINTED FRAMES, Lecture notes of Engineering
Peer Assisted Learning (PAL) • Get support from other students in years above you i.e. student led • Fridays 12-1pm in ALL 303 • Not compulsory • Covers Solids, Fluids, Materials and Thermo • Come along to share with and learn from others • Promotes deeper learning
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2022/2023
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Objectives
- To demonstrate how 2-D equations of equilibrium apply to a rigid-body (in which not all forces converge at a point)
- To practice drawing free-body diagrams
- To identify two-force members
We can use ‘equilibrium at a point’ to determine the cable forces Fx=0; Fy=
PROBLEMS
- If not given, establish a suitable x-y coordinate system and sign convention.
- Draw a free-body diagram (FBD) of the object under analysis.
- Apply the three equations of equilibrium (E- of-E) to solve for the unknowns.
IMPORTANT NOTES
- If there are more unknowns than the number of independent equations, then we have a statically indeterminate situation. We cannot solve these problems using just statics.
- The order in which we apply equations may affect the simplicity of the solution. For example, if we have two unknown vertical forces and one unknown horizontal force, then solving Fx = 0 first allows us to find the horizontal unknown directly.
A. Fx = 0 B. Fy = 0 C. M (^) A = 0 D. Any one
y = 0 d Fx x F Fy = 0
y = 0 d Fx x F Fy = 0
y = 0 d
M = 0
F
M = F d
y = 0 d
M = 0
F
M = F d
y = 0 d Fx x
F
Fy = 0
y = 0 Fx x
F
Fy = 0
M = 0
M = F d F d
The two-force principle
Forces applied to tie rod through the pins