Essays /

130180106076 2130003 Essay

Essay preview

GOVERNMENT ENGINEERING COLLEGE, DAHOD

CIVIL ENGINEERING DEPARTMENT

MECHANICS OF SOLID
PRESENTED BY :
PATEL ASHWIN D.
130180106076
PATEL MAYUR A.
130180106090
PATEL PRIYANK N.
130180106103
TAILOR SHIVOM R. 130180106117
TANDEL RAJAT B.
130180106118
PAWAR SAURABH M. 130180106099
GUIDED BY:PROF. M . A SHAIKH
PROF . R. A. JHUMARWALA

RIGID BODIES: EQUIVALENT
SYSTEMS OF FORCES

GOVERNMENT ENGINEERING COLLEGE, DAHOD.

Introduction

• Treatment of a body as a single particle is not always possible. In general, the size of the body and the specific points of application of the forces must be considered.
• Most bodies in elementary mechanics are assumed to be rigid, i.e., the actual deformations are small and do not affect the conditions of equilibrium or motion of the body.
• Current chapter describes the effect of forces exerted on a rigid body and how to replace a given system of forces with a simpler equivalent system. • moment of a force about a point
• moment of a force about an axis
• moment due to a couple
• Any system of forces acting on a rigid body can be replaced by an equivalent system consisting of one force acting at a given point and one couple.
3-3

External and Internal Forces
• Forces acting on rigid bodies are
divided into two groups:
- External forces
- Internal forces

• External forces are shown in a
free-body diagram.

• If unopposed, each external
force can impart a motion of
translation or rotation, or both.
3-4

Principle of Transmissibility:
Equivalent Forces
• Principle of Transmissibility Conditions of equilibrium or motion are not affected by transmitting a force
along its line of action.
NOTE: F and F’ are equivalent forces.
• Moving the point of application of
the force F to the rear bumper
does not affect the motion or the
other forces acting on the truck.
• Principle of transmissibility may
not al...

Read more

Keywords

-3 -4 -5 -6 -7 -8 -9 0 1 10 11 12 13 130180106076 130180106090 130180106099 130180106103 130180106117 130180106118 14 15 16 17 18 19 2 20 21 2130003 22 23 3 act action actual addit affect along also alway angl appli applic arbitrari ashwin associ assum axe axi b bl bodi breadth bumper cartesian caus chapter choic civil clockwis colleg commut compon concept concurr condit consid consist contain coordin cos counterclockwis coupl cross current d dahod defin deform depart depend depth describ determin diagram dimension direct distribut divid dot due easili effect elementari engin equal equilibrium equival evalu exert extern f f1 f1d1 f2 fd follow forc form free free-bodi fx fy fz general give given govern group guid hand i.e impart independ intern intersect introduct j jhumarwala k law length lie line m magnitud make may mayur measur mechan mix mo mol moment motion move must n negat neglig note o obey obtain ol one onto opposit origin p p1 p2 parallel particl patel pawar perpendicular plane point pol posit possibl pq present principl priyank produc product prof project px px2 py py2 pz pz2 q q1 q2 qx qy qz r ra rajat rb rear rectangular replac repres resolv result rf right right-hand rigid rotat rule said satisfi saurabh scalar sens sever shaikh shivom shown sign signific simpler sin singl six size small solid specif structur subject sum sx sy system sz tailor tandel tend tendenc term thank theorem therefor three translat transmiss transmit treatment tripl truck two two-dimension undefin understood unit unoppos v varignon varigon various vector x xb xfi xfz xi y yb yfx yfz yj z zb zf zfi zfx zk