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DEVAPRAKASAM DEIVASAGAYAM
Professor of Mechanical Engineering
Room:11, LW, 2nd Floor
School of Mechanical and Building Sciences
Email: devaprakasam.d@vit.ac.in, dr.devaprakasam@gmail.com
ME202: Engineering Mechanics (3:1:0:4)
Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933
Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933
Examples
Q1
Q2
Q3
Q4
TAB, = 240 N; TAD,=496.36 N; P = 956N
TAB, = 232.57 N; TAC,=430.26 N; P = 926N
TAB, = 201 N; TAC,= 372N ; TAD,=416N
Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933
Home Work
  2222
zyxAB 
mz 46.0
 kji
AB
AB
AB 46.0155.02.0
525.0
1

my
mx
mAB
155.0
2.0
525.0



 kjiAB 876.0295.038.0 
Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933
Home Work
 
NT
NP
TP
AB
AB
1155
295.0
341
341
0295.0



 
NQ
Q
TQ AB
1012
876.01155
0876.0



  0;0 ABABzx TPjkNiNF 
  0;0 ABAByx TQkjNiNF 
0j
0k
Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933
Classifications of Forces
Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933
Lami’s Theorem
In statics, Lami's theorem is
an equation relating the
magnitudes of
three coplanar, concurrent and
non-collinear forces, which
keeps an object in static
equilibrium, with the angles
directly opposite to the
corresponding forces.
According to the theorem,
where A, B and C are the magnitudes of three coplanar, concurrent and non-collinear forces,
which keep the object in static equilibrium, andα, β and γ are the angles directly opposite to the
forces A, B and C respectively.
Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933
Principle of Transmissibility of Force
F and F’ should have
•Same Magnitude
•Same Direction
•Same Line of Action
Then F=F’
Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933
Moment
Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933
Moment (M)
Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933
Moment (M)

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Me202 Engineering Mechanics l4

  • 1. DEVAPRAKASAM DEIVASAGAYAM Professor of Mechanical Engineering Room:11, LW, 2nd Floor School of Mechanical and Building Sciences Email: devaprakasam.d@vit.ac.in, dr.devaprakasam@gmail.com ME202: Engineering Mechanics (3:1:0:4) Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933
  • 2. Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933 Examples Q1 Q2 Q3 Q4 TAB, = 240 N; TAD,=496.36 N; P = 956N TAB, = 232.57 N; TAC,=430.26 N; P = 926N TAB, = 201 N; TAC,= 372N ; TAD,=416N
  • 3. Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933 Home Work   2222 zyxAB  mz 46.0  kji AB AB AB 46.0155.02.0 525.0 1  my mx mAB 155.0 2.0 525.0     kjiAB 876.0295.038.0 
  • 4. Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933 Home Work   NT NP TP AB AB 1155 295.0 341 341 0295.0      NQ Q TQ AB 1012 876.01155 0876.0      0;0 ABABzx TPjkNiNF    0;0 ABAByx TQkjNiNF  0j 0k
  • 5. Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933 Classifications of Forces
  • 6. Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933 Lami’s Theorem In statics, Lami's theorem is an equation relating the magnitudes of three coplanar, concurrent and non-collinear forces, which keeps an object in static equilibrium, with the angles directly opposite to the corresponding forces. According to the theorem, where A, B and C are the magnitudes of three coplanar, concurrent and non-collinear forces, which keep the object in static equilibrium, andα, β and γ are the angles directly opposite to the forces A, B and C respectively.
  • 7. Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933 Principle of Transmissibility of Force F and F’ should have •Same Magnitude •Same Direction •Same Line of Action Then F=F’
  • 8. Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933 Moment
  • 9. Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933 Moment (M)
  • 10. Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933 Moment (M)