Rigid and deformable solids; Method of sections for evaluating internal forces in bodies - review of free body diagrams; Axial force, shear and bending moment diagrams; Concept of stress, normal and shear stress; Concept of strain, normal and shear strains; Constitutive relations, Hooke's law; Axially loaded members, force and deflections; Bending and shearing stresses in beams of symmetrical cross-section, concept of shear flow; Torsion of circular shafts; Stress in cylindrical and spherical shells; Combined stress; Principle of superposition and its limitations; Transformation of plane stress and strain, principal stresses and strains, Mohr's circle, strain methods; Bending deflection of simple beams by direct integration methods; Buckling of compression members. Energy concepts; Castigliano's theorems.

Check the relevant sections from the textbook.

• Popov, E.P., Engineering Mechanics of Solids (2nd Ed.), Prentice-Hall (India), 1999.

• Beer, F.P., Johnston, E.S. & DeWolf, J.T., Mechanics of Materials (3rd Ed.), Tata McGraw-Hill, 2004.
• Gere, J.M., Mechanics of Materials (5th Ed.), Brooks/Cole, 2001.

Instruction

M 08:30 - 09:25
T 10:35 - 11:30
F 09:30 - 10:25


Tutorial

M 14:00 - 15:00

Every Thursday, 17:30-19:30, in 128, CE Bldg., with the following Teaching Assistant:


• Debarati — debarati @ iitb

• Handout #1
• Tutorial Sheet #1
• Tutorial Sheet #2
• Tutorial Sheet #3
• Tutorial Sheet #4
• Tutorial Sheet #5
• Tutorial Sheet #6
• Tutorial Sheet #7 and answers for TS 1-7.
• Tutorial Sheet #8
• Tutorial Sheet #9
• Tutorial Sheet #10
• Tutorial Sheet #11 and answers for TS 8-11.

• Mechanics of Materials from efunda
• Beam Mechanics from efunda
• Column Buckling from efunda
• Solid Mechanics from MIT OpenCourseWare

Chapter 1: 1-1 — 1-11
Chapter 2: 2-1 — 2-7, 2-8 (only Figure 2-18 and relevant text)
Chapter 3: 3-1 — 3-5
Chapter 4: 4-2 — 4-4, 4-7
Chapter 5: 5-1 — 5-9
Chapter 6: 6-1 — 6-11 (no Impact Loads)
Chapter 7: 7-1 — 7-12
Chapter 8: 8-1 — 8-7, 8-9
Chapter 10: 10-1 — 10-4, 10-6 — 10-8
Chapter 11: 11-1 — 11-7, 11-10 — 11-14
Chapter 14: 14-1 — 14-9
Chapter 16: 16-1 — 16-6, 16-8
Chapter 18: 18-1 — 18-5



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