Upload File

lami's theorem

10
Gandhinagar Institute of Technology Mechanics of solids Lami’s Theorem & Example Branch : Mechanical Div: 3-C Engineering

Upload: chandresh-suthar

Post on 11-Apr-2017

411 views

Category:

Engineering


0 download

Report

TRANSCRIPT

Page 1: Lami's theorem

Gandhinagar Institute of Technology

Mechanics of solidsLami’s Theorem

&Example

Branch : Mechanical Div: 3-C Engineering

Page 2: Lami's theorem

Group Members

Name- Enrollment no-

Chandresh Suthar 140120119229

Page 3: Lami's theorem

Branches of Engg. Mechanics

Page 4: Lami's theorem

Force SystemsSystem of forces tells us the arrangement of

forces and is classified as follows:system of forces

coplanar

noncoplanar

concurrent

parallel general

Page 5: Lami's theorem

Graphical conditions for Equilibrium

Triangle Law: If three forces are in equilibrium, then, they form a closed triangle when represented in a Tip to Tail arrangement, as shown in Fig 1.(a).

Fig 1.(a)

F 3 F2

F1Polygonal Law: If more than three forces are in equilibrium, then, they form a closed polygon when represented in a Tip to Tail arrangement, as shown in Fig 1.(b).

F5

F4 F3

F2Fig 1.(b)

F2

F3

F1

F1

F5

F4

F3 F2

F1

5

Page 6: Lami's theorem

Equilibrium of concurrent forcesConditions of equilibrium for concurrent

system of forces in a plane:∑Fx=0∑Fy=0 or∑Fx=0∑Ma=0 or∑Ma=0∑Mb=0

Page 7: Lami's theorem

Lami’s theoremIf a particle acted upon by three forces remains in

equilibrium then, each force acting on the particle bears the same proportionality with the since of the angle between the other two forces”. Lami’s theorem is also known as law of sines.

Page 8: Lami's theorem

Figure

LAMI’S THEOREM

SinF

SinF

SinF 321

α

Fig (2)

F1

F3 F2

Page 9: Lami's theorem

Example

Page 10: Lami's theorem

Thank You


Pythagoras’ Theorem and Homer’s Ulysses. - uniurb.itisonomia.uniurb.it/vecchiaserie/2011Bomprezzi.pdf · Pythagoras’ Theorem and Homer’s Ulysses. ... Pythagoras‟ theorem

€¦ · Web viewNetwork theorems -Superposition theorem, Thevenin’s theorem, Norton’s theorem, Reciprocity theorem, Millman’s theorem, and Maximum power transfer theorem, application

Thevenin’s theorem, Norton’s theorem and Superposition theorem for AC Circuits

Syllabus for Under CBCS - caluniv.ac.in · ... Programming with Matlab/Scilab ... Millman’s Theorem, Thevenin’s Theorem, Norton’s Theorem, Reciprocity Theorem, ... Verification

TCIL-IT EDUCATION AND TRAINING · 2014-06-08 · the resultant, Lami's theorem. Moments: Concept of moment, Varigon's theorem (statement only), Principle of moments-application of

1 Thevenin’s theorem, Norton’s theorem and Superposition theorem for AC Circuits 3/2/09

AMDG Ms. Kresovic Adv Geo 10 3: Circlefaculty.muhs.edu/kresovic/mt125/ClassNotes/10-3 2016 p5 from 3-1… · len '360-30 Theorem 79 Theorem 80 Theorem 81 Theorem 82 Theorem 83 Theorem

Probabilistically Checkable Proofs Theorem (PCP THEOREM)

Course Plan Engineering Mathematics III (17MAT31) KLE Dr ......1. Verify Green’s theorem, Stokes theorem and Gauss divergence theorem. 2. Use Greens theorem, Stokes theorem and Divergence

SEMESTER-I Three Year Diploma Courseniu.edu.in/crs/Syllabus/1ST-Sem-Diploma(common-to-all).pdf · equilibrant forces. 2.6 Lami's theorem. 3. Moment Couple and Torque 3.1 Concept of

are Miller Indices and explain the procedure for finding Miller indices. ... and expalin Lami's theorem of triangle law of equilibrium. 3 Hours (5) 2. 3

The Schema Theorem and Price’s Theorem

3. 4. 5. 8. Thevenin's theorem and Norton's theorem ...nagarjunauniversity.ac.in/ugcbcssyllabus/I B.Sc/Computer Maintenan… · Thevenin's theorem and Norton's theorem — verification

Array theorem and convolutions Derive array theorem from convolution theorem

Section 5.5 The Intermediate Value Theorem Rolle’s Theorem The Mean Value Theorem 3.6

SYLLABUS FOR SEMESTER-I - nlc.ac.in€¦  · Web viewNetwork elements, Superposition theorem, Milman theorem, Thevenin's theorem, Norton's theorem, Maximum power transfer theorem,

Theorem (Second Fundamental theorem of calculus)

Reinhard Pichler 3. Codd’s Theorem VU 181.140, SS 2011 · Database Theory 3. Codd’s Theorem 3.3. Codd’s Theorem Main Theorem Theorem (Codd) A query is de nable in relational

Green’s Theorem, Stokes’ Theorem, and the Divergence Theorem

Word/Theorem Definition Example/Properties - … - 4 Square...Interior Angle Sum Theorem ... Word/Theorem Definition Example/Properties Trapezoid Interior Angle Sum Theorem ... "5,

U.P. TECHNICAL UNIVERSITY LUCKNOW · 2015-10-28 · Superposition Theorem, Thevenin’s Theorem, Norton’s Theorem, Maximum Power Transfer Theorem (simple numerical problems). 9

Chapter1: Triangle Midpoint Theorem and Intercept Theorem Outline Basic concepts and facts Proof and presentation Midpoint Theorem Intercept Theorem

BASIC PROPTIONALITY THEOREM (THALES THEOREM)

2 Greens Theorem Surface Integral Stokes Theorem

yvucdc.in · Web viewStatement and proofs of Superposition Theorem, Thevenin's Theorem, Norton's Theorem, Maximum Power transfer theorem, Milliman’s theorem and Reciprocity theorem

A UNIFYING IMPOSSIBILITY THEOREM · Recently, Vohra (2011) proves Arrow’s Impossibility Theorem, the Gibbard-Satterthwaite Theorem and the strategic candidacy impossibility theorem

SLecture5 Rolle's Theorem and Mean Value Theorem

Central Limit Theorem · Central Limit Theorem 9.1 Central Limit Theorem for Bernoulli Trials The second fundamental theorem of probability is the Central Limit Theorem. This theoremsaysthatifSn

· Web viewNETWORK THEOREMS : Thevenin’s theorem, Norton’s theorem, superposition theorem, maximum power transfer theorem, Reciprocity theorem, Tellegen’s theorem, Milman's theorem

Postulates 2.1 2...Theorem 7.1 and 7.2 Theorem 7.3 . 16 ... Theorem 7.7 Proportional Perimeters Theorem Theorem 7.8 – 7.10 Special Segments of Similar Triangles Theorem 7.11 Angle

DIPLOMA PROGRAMME in - Paonta Sahib year Mechanical Engg aug.pdf2.6 Lami's theorem [Simple numerical problems on above topics] 3. Moment (12hrs) 3.1 Concept of moment 3.2 Moment of

Graph Theory - faculty.etsu.edufaculty.etsu.edu/.../Proofs-BM-GT-3-1.pdf · Theorem 3.1. The Friendship Theorem Theorem 3.1 Theorem 3.1. The Friendship Theorem. Let G be a simple

B.Sc. (H) ELECTRONICS · Network Theorems: Superposition theorem, Thevenin’s theorem, Norton’s theorem, Reciprocity theorem, ... “Technical Report Writing Today ” - Biztaantra

Theorem 3: Theorem 4

CHAPTER 3 NETWORK THEOREM. 2 NETWORK THEOREM Superposition Theorem Source Transformation Thevenin & Norton Equivalent