MORE IN Elements of Civil Engg. & Engg. Mechanics
VTU First Year Engineering (P Cycle) (Semester 1)
Elements of Civil Engg. & Engg. Mechanics
May 2016
Total marks: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary

Choose correct answers for the following;
1(a)(i) The part of civil engineering which deals with waste and soild waste is called
A) Water supply
B) Hydrulics
C) Sanitary engineering
D) Geotechnical engineering
1 M
1(a)(ii) Composite material consisting of cement concrete and steel used in civil engineering structural construction is
A) Pre Stress Concrete(PSC)
B) Reinforced Cement Concrete (RCC)
C) Fiber Reinforced Concrete (FRC)
D) Plain Cement Concrete (PCC)
1 M
1(a)(iii) The science of map making is known as
A) Estimation
B) Town planning
C) Sureying
D) Concrete Tchnology
1 M
1(a)(iv) Land use planning, zoning etc are a part of
A) Transportation
B) Town planning
C) Construction technology
D) Geotechnical engineering
1 M
1(b) Briefly explain scope of the following in civil engineering.
i) Hydraulics
ii) Water resources and irrigation engineering.
4 M
1(c) Explain briefly the impact of frastructural development on thr economy of the country.
6 M
1(d) With the help of neat sketch briefly explain the components of a bridge.
6 M

Choose correct answers for the following;
2(a)(i) Which is the following quantities has units as kg-m/s2
A) Energy
B) Force
C) Momentum
Power
1 M
2(a)(ii) An object regarded as only mass but no size in mechanics is
A) Point force
B) Rigid body
C) Deformable body
D) Particle
1 M
2(a)(iii) In SI units 1 N/mm
A) 1
B) 10-3
C) 103
D) 10
1 M
2(a)(iv) A particle can have
A) Only translational motion
B) Only rotational motion
C) A combination of translational and rotational motions
D) All of these
1 M
2(b) Briefly explain the classification of the system of forces with examples.
4 M
2(c) The moment of a force F is 195 N-m clockwise about A and 11f N-m counter clockwise about C. It its moment about B is zero, determine the force F as shown in Fig.Q.2(c) !mage
6 M
2(d) The resultant of two forces, on of which is double the other is 260N. It the direction of the larger forc is reversed and the other remains unltered the resultant reduces to 180N. Determine the magnitude for the forces and the angle between the forces.
6 M

Choose correct answers for the following;
3(a)(i) Effect of force on a body depends on
A) Direction
B) Magnitude
C) Position
D) All of these
1 M
3(a)(ii) the magnitude of the moment is maximum when a force is applied _________the level
A) Parallel to
B) Inclined to
C) Perpendicular to
D) At the hinge of
1 M
3(a)(iii) The X-component of a 10N force is 5N the angle made by the force with y-axis
A) 0 degree
B) 30 degree
C) 45 degree
D) 60 degree
1 M
3(a)(iv) Every force acting on an object products its own effects independent of the other forces is known as
A) Principle of transmissibility of force
B) Principle of physical independence of force
C) Super position principle
D) None of these
1 M
3(b) What are the methods for finding out the resultant force for a given system of forces? Also explain the procedure for finding out the resultant force analytically, using method of resolution.
4 M
3(c) State and prove the Varignon's theorem of moments.
4 M
3(d) A bracket is sunjected to three forces and a couple as shown in Fig.Q.3(d).Determine magnitude direction and the line of action of the resultant. !mage
8 M

Choose correct answers for the following;
4(a)(i) Component of a force right angle to its line of action is
A) Zero
B) Positive
C) Negative
D) None of these
1 M
4(a)(ii) The single force which will have the same effects as the system of force is
A) couple
B) resultant
C) moment
D) force
1 M
4(a)(iii) Varignon's theorem is not applicable for forces which are
A) Coplanar non-concurrent
B) Non-coplanar non concurrent
C) Concurrent
D) Parallel
1 M
4(a)(iv) The technique of finding of the resultant of a system of forces is called
A) Resultant
B) Resolution
C) Composition
D) None of these
1 M
4(b) Differentitate between the center of gravity and centroid.
2 M
4(c) Dtermine the centroid of a triangle from first principle.
6 M
4(d) Locate the centroid of the shaded area as shown in Fig.Q.4(d)
8 M

Choose correct answers for the following;
5(a)(i) Centroid of a triangle with base b and depth d is
A) b/3 and d/3
B) b/2 and d/2
C) b/4 and d/4
D) None of these
1 M
5(a)(ii) The centroid of a triangle lamina of heigh h is situated at a distance from its apex
A) h/2
B) 2h/3
C) h/3
D) h
1 M
5(a)(iii) The first moment of an area about the Y axis is
A) /int;xdA
B) /int;ydA
C) /int;x2dA
D) /int;y2dA
1 M
5(a)(iv) Centroid of a sector of a circle lies at a distance of $A) \frac{4r}{3\pi}\ \ B)\frac{2r\sin \alpha }{3\alpha }\ \ C)\frac{r\sin \alpha }{2\alpha }\ \ D)\frac{2r\sin \alpha }{2\alpha }$
1 M
5(b) Define the following:
i) Equilibrium;
ii) Equlibrant.
2 M
5(c) State the eqeilibrium condition for coplanar cocurrent forces and coplannar non-concurrent forces.
4 M
5(d) A cylinder weighting 1000N and 1.5m diameter supported by a beam of length 6m and weight 400N as shown in Fig.Q.5(d). Neglecting friction at the surface of contact of the cylinder determine:
i) Wall reaction at D;
ii) Tension in cable BC and
iii) Hinged !mage
10 M

Choose correct answers for the following;
6(a)(i) A rigid body is an equilibrium if the resultant force of con
1 M
6(a)(ii) Lami's equation can be applied when number of unknown forces are
A) two
B) three
C) five
D) None of these
1 M
6(a)(iii) The necessary condition for equilibrium of coplanr non-concurrent force system is \begin {align*} A) \sum F_y &= \sum F_x \ \\\ B) \sum F_x &=0,\sum F_y =0\\ \ \ C)\sum F_x &=0,\sum F_y=0,\sum M=0 \\D)\sum M& =0 \end{align*}
1 M
6(a)(iv) Three forces acting on a body can keep it in equilibrium, only when they are
A) Colinear
B) Coplanar and concurrent
C) Co planar and parellel
D) Coplanar and non cocurrent
1 M
6(b) Define statically determine beam.
2 M
6(c) Explain in brief the method of joints and method of sections used in the analysis of simple trusses.
4 M
6(d) The maximum allowable force (tension or compression ) in AB, AF or FG is known to be 2.5 kN. Dtermine the maximum permissible load 'P' on the truss shown in Fig.Q.6(d).
10 M

Choose correct answers for the following;
7(a)(i) A reaction line at roller support with respect to plane of contact is
A) Oblique
B) Obtuse
C) Perpendicular
D) None of these
1 M
7(a)(ii) When load acts at constant rate over given length of beam it is called
B) UDL
C) UVL
D) None of these
1 M
7(a)(iii) The number of reaction components of a hinged end of a beam are
A) 0
B) 2
C) 3
D) 1
1 M
7(a)(iv) If one end of a beam is fixed and the other supported by a roller it is known as
A) Cantilever
B) Fixed beam
C) Propped cantilever
D) Over hanging beam
1 M
7(b) Define
i) Angle of repose;
ii) Cone of friction.
2 M
7(c) Explain the theory of solid dry friction.
4 M
7(d) Find the minimum horizontal force P required to overcome static friction and begin to lift 100N block 'A' shown in Fig.Q.7(d). The weight of 20 degree wedge B is 5N and the coefficient of static friction between all surfaces is 0.4. !mage
10 M

Choose correct answers for the following;
8(a)(i) The moment of inertia of circular section about centroidal axis is \begin {align*} &A) \frac{\pi D}{48}^4 \\ &B)\frac{\pi D}{32}^4 \\&C) \frac{\pi D}{64}^4 \\ &D)\frac{\pi D}{128}^4 \end{align*}
1 M
8(a)(ii) The unit of moment of intertia of an area is
A) m3
B) m2
C) m4
D) N/m2
1 M
8(a)(iii) The radius of gyration of a triangular about its base is\begin {align*}A) \frac{b}{2\sqrt{3}} \\ B)\frac{b}{3\sqrt{2 }} \\ C)\frac{h}{2\sqrt{3}} \\ D)\frac{h}{3\sqrt{2}} \end {align*}
1 M
8(a)(iv) The moment of intertia about centroidal X-axis is given by Ixx
A) ∫ x2dA
B) ∫ y2dA
C) ∫ x dA
D) ∫ y dA
1 M
8(b) Define the terms;
i) Polar second moment of the area;