mechanics assignment 08072011

8/3/2019 Mechanics Assignment 08072011

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ImportantTheoryQuestionsENGINEERINGMECHANICS

Unit 1

1. Define mechanics, force, force system2. Type of force system3. Concurrent & nonconcurrent force system4. Lambis theorem5. Free body diagram6. Varignons theorem7. Relationship between & T1 (belt friction)8. Friction, types of friction

Unit 21. Define Beam, statically determine beams2. Types of loading, Beam, Support3. Define Truss4. Types of Truss: Redundant, Deficient, Perfect

Unit 3

1. Derive Centroid for:(a)Rectangle(b)

Triangle(c)Semicircle

(d)Quarter circle(e)Sector of circle(f) Ellipse

2. State & prove parallel & perpendicular axis theorem3. Derive equation for Product moment of area with respect to another set of Mutually orthogonal axis obtained by rotating the xy axis

counterclockwise by an angle


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ENGINEERINGMECHANICSTutorialSheet01

Define Force & Force system

Define:Parallelogram law of forcesTriangle law of forces

Polygon law of forcesLambis theorem

Transmissibility of forcesFind out the reactions:


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Weight of A=30N

Weight of B=60N

between A & B=0.25

between B & Floor=0.20

Minimum & Maximum

Find minimum & maximum value of weight of block B, pully is frictionless.

Weight of A=60N

between A & Floor=0.30


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between B & Floor=0.40

Define:

1. Angle of coefficient2. Angle of repose3. Law of coulomb4. Coefficient of friction5. Cone of friction


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B.Tech. 1stYear, Engineering Mechanics Tutorial Sheet No. 2

1. A simply supported beam of span 9.75m is carrying a full span of u.d.l. of 10kN/m. Draw S.F.D. & B.M.D.2. Draw S.F.D. & B.M.D. for the beam loaded as per Fig.2.

3. Draw S.F.D. & B.M.D. for the cantilever shown in Fig.3 carrying several concentrated loads.4. A simply supported beam is shown in Fig.4. Draw SFD & BMD.5. Draw SFD & BMD for the cantilever beam shown in Fig.5.


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6. Draw SFD & BMD for the beam shown in Fig.6. Locate the position of point of contraflexure, if any.7. Find the value of x and draw BMD for the beam shown in Fig.7.8. The SFD of a simply supported beam is shown in Fig.8. Calculate the support reactions of the beam and also draw BMD of the beam.

9. Determine the forces in the member AB, AC and BC of the truss shown in Fig.910.Determine the support reactions and nature & magnitude of the forces in member EF, FD, ED & EC3 shown in the truss in Fig.10.


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11.A cantilever truss is loaded and supported as in Fig.11. Determine the forces in each member using method of joints.

12.The roof truss shown in Fig.12 is supported at A & B and carries vertical loads at each of the upper chord points. Using the method of sections,determine the forces in the member EC and FG of truss, stating whether they are in tension of compression.

13.Determine the support reactions and nature & magnitude of forces shown in Fig.13.14.An inclined truss having a span of 6m, carries a load of 30kN and is shown in Fig.14. Find the forces in members, all the members of the truss.15.Each member of the truss is 3m long as in Fig.15. The truss is simply supported at the ends. Determine forces in all members showing whether

they are in tension or in compression.


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Drew SFD, BMD for the following:


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B.Tech.1stYear,EngineeringMechanicsTutorialSheetNo.31. Locate the centroid of the I section shown in Fig.1.2. Determine the coordinates Xc and Yc of a 100mm diameter circular hole cut in a thin plate so that this point will be the centroid of theremaining shaded area as shown in Fig.2.3. Determine the moment of inertia of the section shown in Fig.3 about an axis passing through the centroid and parallel to the top most fiber of

the section. Also determine the M.O.I. about the axis of symmetry and radii of gyration.4. Determine the mass moment of inertia of a solid sphere of radius R about its diametral axis.5. Find the product of inertia of the right unique triangle shown in Fig.4 w.r.t. x and y axis.6. What do you mean by: (a) Product of inertia (b) Centre of gravity (c) Composite bodies (d) Principle moment of inertia7. Define the following: (a) Mass moment of inertia (b) Radius of gyration; Derive the equation for Mass moment of inertia and polar moment of

inertia of a thin circular plate of mass M and radius r.8. A sphere of radius r is cut from a larger sphere of radius R. The distance between their centres is d. Locate the C.G. of the remaining volumes.9. Locate the centroid of the area shown in Fig.5. All dimensions are in mm.10.The frustrum of a right circular cone has a bottom radius 5cm, top radius 3cm and height 8cm. A coaxial cylinder hole of 4cm diameter is made

throughout the frustrum. Locate the position of centre of gravity of the remaining solid.

11.The M.O.I. of rectangular section beam about xx and yy axes passing through the centroid are 25010mm and 4010mm respectively.Calculate the size of the section.

12.A rectangle column of section 30cm50cm and height 4m is centrally cast over a concrete bed which measures 3m5m and thickness 40cm. Ifthe mass density of concrete is 2500Kg/m3, make calculations for the mass moment of inertia of the column and combination about a pole.


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Determine centroid of wire bent into:


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Determine centroid about given axis:


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Determine moment of inertia about centroid axis:


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Find mass moment of inertia for (Derivation)

(a)Circular plate(b)

Rectangular plate(c)Circular ring

(d)Sphere(e)Cone


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6. Poissons ratio7. Elongation in tapered rod (Rectangular & circular)


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mechanics assignment 08072011

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