Structural Mechanics Syllabus Diploma in Civil Engineering, Regulation 2010

AIMS

• To enable to apply the knowledge of scientific principles to problems of a mechanical nature.

• To develop an understanding of mechanical properties of materials.

• To assist in applying mathematical and geometrical calculations to the analysis of statically determinate beams.

SHORT DESCRIPTION

Mechanical properties of materials; Work, power and energy; Laws of forces; Moment; Friction; Center of gravity; Moment of inertia; Torsion on circular shaft; Shear force and Bending moment.

DETAIL DESCRIPTION

Theory:

1. MECHANICAL PROPERTIES OF MATERIALS

1.0 Understand the important aspects of mechanical properties of materials.

1.1 Explain the necessity to know about the mechanical properties of materials.

1.2 Define the following terms:

a. Stress, tensile stress, compressive stress, shear stress.

b. Strain, tensile strain, compressive strain, shear strain,

c. Hooke’s law, modulus of elasticity and modulus of rigidity.

1.3 Explain stress-strain diagram of mild steel and concrete.

1.4 State the meaning of the followings:

a. Elasticity, proportional limit, yield point, ultimate stress, breaking stress, proof stress, working stress and factor of safety.

b. Strength, stiffness, toughness, ductility, malleability, brittleness, creep, fatigue failure, resilience, modulus of resilience, thermal stress in simple bar and poisons ratio.

1.5 Compute stress, strain, modulus of elasticity and modulus of rigidity.

1.6 Solve problems involving resilience, thermal stress and poisons ratio.

1.7 Compute stress develop in composite bar under tension and compression.

2. WORK, POWER AND ENERGY

2.0 Understand about the aspects of work, power and energy.

2.1 Define the following terms:

a. work b. power c. energy

2.2 Specify the units of the followings:

a. work b. power c. energy

2.3 Describe work done in rotation and represent by area.

2.4 Mention the different kinds of energy.

2.5 Explain the relations of potential energy and kinetic energy.

2.6 Solve problems involving work, power and energy.

3. LAWS OF FORCES

3.0 Understand the concept of laws of forces.

3.1 Explain the laws of forces.

3.2 Define the following terms:

a. force; b. coplanar force; c. non-coplanar force; d. concurrent force; e. resultant force.

3.3 Mention the parallelogram laws of forces.

3.4 State the meaning of composition and resolution of forces.

3.5 Compute the resultant force of –

a. Triangle of forces

b. Polygon of forces

c. Converse law of triangle and polygon laws of forces graphically.

3.6 Explain Lami’s theorem.

3.7 Solve problems on Lami’s theorem.

4. MOMENT

4.0 Understand the aspects of moment of forces.

4.1 Define the term moment (analytically and graphically).

4.2 Differentiate moment with force.

4.3 Explain Varigon’s principle of moment.

4.4 Distinguish like and unlike parallel forces.

4.5 State the meaning of couple.

4.6 Mention the properties of couple.

4.7 Solve problems on moment of couple.

5. FRICTION

5.0 Understand the concept of frictional forces.

5.1 State the meaning of friction and static & dynamic friction.

5.2 Mention the laws of static friction.

5.3 Explain angle of friction and co-efficient of friction.

5.4 Compute friction of a body on horizontal planes.

5.5 Compute friction of a body on inclined planes.

5.6 Compute frictional force acting on a ladder.

6. CENTER OF GRAVITY

6.0 Understand the aspects of center of gravity.

6.1 Explain the terms: centroid and center of gravity.

6.2 State the axis of symmetry.

6.3 Compute the center of gravity by the method of moment of the following sections:

a. rectangular

b. circular

c. semi-circular

d. hollow

e. I -shaped

f. T -shaped

g. L -shaped.

7. MOMENT OF INERTIA

7.0 Understand the concept of moment of inertia.

7.1 State 1st and 2nd moment of area.

7.2 Explain the meaning of radius of gyration.

7.3 Mention the theorems of moment of inertia.

7.4 Compute the moment of inertia of plane area about any axis of the following sections:

a. rectangular

b. circular

c. semi-circular

d. hollow

e. I -shaped

f. T -shaped

g. L -shaped.

8. TORSION ON CICULAR SHAFT

8.0 Understand the aspects of torsion on solid and hollow circular shaft.

8.1 State about the laws of motions.

8.2 Explain the term circular motion.

8.3 Define the terms: torsion and torsion stress.

8.4 Mention the assumptions of torsion stress.

8.5 Find the relation between torsion stress and strain.

8.6 Express the derivation of the formula for finding torque.

8.7 Determine the relations among torsion, horse power and velocity of shaft.

8.8 Solve problems involving torsion.

9. SHEAR FORCE AND BENDING MOMENT

9.0 Understand about the shear force (SF) and bending moment (BM).

9.1 Define the term beam.

9.2 List different kinds of beams.

9.3 State the meaning of load.

9.4 Mention various kinds of load on beams.

9.5 State the meaning of shear force and bending moment.

9.6 Differentiate between shear force and bending moment.

9.7 Mention the sign conventions of shear force and bending moment.

9.8 List the characteristics of shear force and bending moment diagram.

9.9 Draw SF and BM diagram of cantilever beams with point load, distributed load and both.

9.10 Draw SF and BM diagram of simply supported beams with point load, distributed load and both.

Practical:

1. Determine the compressive stress of a timber specimen.

2. Draw stress-strain curve of mild steel with test results.

3. Determine the hardness of mild steel plate.

4. Determine the stiffness of mild steel plate.

5. Determine the brittleness of cast iron.

6. Show the resultant of force by using the force board.

7. Prove the Lami’s theorem by using the force board.

8. Determine the co-efficient of friction of timber, concrete and mild steel.

9. Determine reactions of a beam by using spring balance.

REFERENCE BOOKS

1. Structural Mechanics -− W Morgan and D T Williams

2. Structural Mechanics -− Singer / Popov

3. Mechanics of Materials -− Philip Gustave Laurson and Williams Junkin Cox

4. Structural Mechanics – A. K. Upadhyay Published by SK Kateria & Sons, India.

S.K Kataria & Sons

5 Applied Mechanics – A. K. Upadhyay

• Introduction

• Laws of Forces

• Moment

• Friction

• Centre of Gravity

• Moment of Inertia

• Laws of Motion

• Motion of Connected Bodies

• Circular Motion

• Simple Lifting Machines

• Laboratory Experiments

6 Structural Mechanics – A. K. Upadhyay

• Properties of Materials

• Stresses and strains

• Shear Force and Bending Moment

• Centre of Gravity

• Moment of Inertia

• Bending and Shear Stresses

• Slope and Deflection

• Column and Struts

• Combined Direct and Bending Stress

• Analysis of Trusses

• Experiments