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Numerical problems on Volumetric strain & Elastic constant
Lesson 33 of 100 • 22 upvotes • 14:09mins
Shivam Yadav
Numerical problems on Volumetric strain & Elastic constant
(Hindi) Strength of Materials (SOM)- (Mechanical and Civil )
100 lessons • 23h 17m
1
Overview of Strength of Materials (in Hindi)
6:47mins
2
Basics of SOM- assumptions, isotropic and homogeneous Material and Different types of loads
14:00mins
3
Loads- Axial load (AL), Eccentric AL, Transverse Shear Load (TSL), Eccentric TSL, Bending & Twisting
15:00mins
4
Different Types of Load -Bending moment and Twisting Moment: Part 2 (in Hindi)
15:00mins
5
Identify the Different Types of Loads Through Examples (in Hindi)
15:00mins
6
Load acting on any cross-section of the member by method of section
15:00mins
7
Sign convention for the loading on the cross-section of the member
14:49mins
8
Introduction of Pure Bending and Bending equation
15:00mins
9
Combination of Pure Axial Loading and Pure Bending i.e. Eccentric Axial Loading
15:00mins
10
Analysis of transverse shear load ,SFD & BMD & Numerical problem
15:00mins
11
Analysis of Eccentric Transverse Shear load & SFD ,BMD & TMD
14:35mins
12
Torsion equation & Analysis of pure torsion & twisting moment diagram (TMD)
15:00mins
13
Eq. loads on the cross-section & understanding of stress developed in the bar & on x-s/c of bar
13:04mins
14
Numerical problems on Previously covered topics
12:58mins
15
Stress,Uni-axial state of stress,tri-axial state of strain, Hooke's Law
14:55mins
16
How to draw Stress-strain diagram & why ?
15:00mins
17
Develop understanding of Stress-strain diagram
12:06mins
18
Calculate yield stress by offset method, Ductility,Stree-strain diagram for brittle Material
14:05mins
19
Strength, Design criterion- Strength criterion & Rigidity Criterion
15:00mins
20
Numerical problems on Design criterion & ductile & brittle fracture under tension test
14:23mins
21
Analysis of Impact load, Gradually applied load,& dead load & Axial impact load
12:59mins
22
Important numerical problems on Impact loading & also Gate Questions
13:52mins
23
Comparison b/w Impact Axial load & Static Axial load & Numerical problems & Fatigue load & its type
15:00mins
24
Normal and Shear stress developed on a oblique plane under axial loading
14:16mins
25
Problems for calculation of Normal and Shear stress on oblique plane and some important points
13:48mins
26
Graphical & matrix representation of Tri-axial & Bi-axial state of stress & for strain (3D & 2D)
15:00mins
27
Normal & Shear stress developed on a oblique plane passing through a point under Bi-axial stress
15:00mins
28
Problems for calculation of Normal and Shear stress on oblique plane under Biaxial state of stress
11:56mins
29
Types of strain-Longitudinal Strain, Lateral strain, Poisson Ratio, Volumetric strain, Shear Strain
15:00mins
30
Deformation in vector form, Numerical problem, Relationship between Elastic constants –E,G,K
13:54mins
31
Upper limit and lower limit of G & K in terms of E as variation of Poisson’s ratio & Def. of E & G
15:00mins
32
Bulk modulus (K) , & Expression for volumetric strain under tri-axial loading
15:00mins
33
Numerical problems on Volumetric strain & Elastic constant
14:09mins
34
Analysis of Pure axial loading on Stepped bar ( Bar in series)
15:00mins
35
Case 2 - Analysis of Axial loading on Stepped bar ( Bar in series)
15:00mins
36
Numerical problems on stepped bar & Analysis of Bar fixed at both end (Statically Indeterminate Bar)
15:00mins
37
Numerical problems on Bar fixed at both end ( Statically Indeterminate Bar) & Shortcut for reactions
14:42mins
38
Important Numerical problems on Statically Indeterminate Bar & Shortcut for reactions
15:00mins
39
More Important Numerical problems on Statically Indeterminate Bar
10:22mins
40
Analysis of Axial load on Tapered bar & Calculate maximum stress induced & elongation of tapered bar
14:52mins
41
Analysis of Tapered bar fixed at both ends (Statically Indeterminate Tapered bar)
15:00mins
42
Elongation of Prismatic bar due to its self weight & Numerical problems
14:56mins
43
Elongation of Conical bar due to its self weight & Question- when both self weight & Axial load
15:00mins
44
Comparison among Prismatic bar under Axial loading , Prismatic & Conical bar due to its self weight
15:00mins
45
Strain Energy, Resilience,& Toughness, Proof Resilience, Modulus of Resilience, Modulus of Toughness
15:00mins
46
Calculate Strain Energy under Axial loading,under bending,under twisting
14:57mins
47
Numerical problems for the calculation of Strain Energy
12:29mins
48
Strain Energy of a rectangular block under a shear load, Strain Energy of a beam under pure Bending
15:00mins
49
Numerical problems of Strain Energy of a cantilever beam & simply Supported beam & draw SFD,BMD
15:00mins
50
Strain energy of Prismatic shaft & Stepped shaft under Pure Torsion
15:00mins
51
Bars in Parallel / Composite bar (Statically Indeterminate bar) under axial loading & Numerical prob
13:53mins
52
Understanding of Thermal Stress,Thermal stress during free expansion & completely restricted
15:00mins
53
Thermal stress during completely or Partially restricted expansion/ Compression & Numerical problem
15:00mins
54
Numerical problems on Thermal Stresses
14:09mins
55
Analysis of Thermal Stresses in Compound bar (Bars in series)
15:00mins
56
Numerical problems on Thermal Stresses in Compound bar (bars in series) & Important points
15:00mins
57
Analysis of Thermal Stresses in Composite bar (bars in Parallel)
14:18mins
58
Numerical problems for the calculation of Thermal Stresses in Composite bar (bars in Parallel)
15:00mins
59
Important numerical problems for the calculation of Thermal Stress
11:03mins
60
Beam,Beam classification, Types of Rigid supports
13:35mins
61
Types of Loads acting on Beams, Calculation of Loads, Determine Support reactions acting on beam
15:00mins
62
Numerical problems for the calculation of Support reactions acting on beam
13:43mins
63
Important points to draw SFD & BMD and Sign convention
15:00mins
64
Numerical problems on SFD(Shear force diagram) and BMD (Bending moment diagram)
15:00mins
65
Numerical problems on SFD and BMD & location of point of contraflexture
15:00mins
66
Numerical problems on SFD & BMD, location of contraflexture point, radius of curvature
15:00mins
67
Draw SFD & BMD for uniform distributed load, uniformly varying load
15:00mins
68
Draw SFD & BMD for uniformly varying load
15:00mins
69
Draw SFD and BMD for double uniformly varying load & Numerical problems
15:00mins
70
Important Numerical problems on SFD and BMD
12:24mins
71
Numerical problems on SFD and BMD, Relationship b/w load intensity,Shear force and bending moment
15:00mins
72
Numerical problems on SFD and BMD
15:00mins
73
More Numerical problems on SFD and BMD
15:00mins
74
GATE previous year problems on SFD and BMD
15:00mins
75
GATE Previous year problems on SFD AND BMD
15:00mins
76
GATE problems on SFD and BMD & Important points related to bending stress
15:00mins
77
Deflection of beams-Objective, Basic understanding
14:53mins
78
Location of maximum slope & maximum deflection & Double Integration method’s procedure
15:00mins
79
Double Integration method – Calculate maximum slope and maximum deflection
12:57mins
80
Remember important values of Max slope & max Deflection for various beams under different loading
12:46mins
81
Important problems for the calculation of maximum slope, maximum deflection , location and support
13:38mins
82
Numerical problems on deflection of beams
15:00mins
83
More Problems for the calculation of maximum slope and maximum deflection
12:59mins
84
Important problems of Deflection of beams
13:41mins
85
Moment Area Method for the calculation of deflection and slope
15:00mins
86
Problems -Use Moment area method for the calculation of deflection and slope
15:00mins
87
Calculate slope and deflection by using moment area method
15:00mins
88
Important problems for the calculation of slope, deflection and reactions using moment area method
11:53mins
89
Castigliano's Theorems- Strain energy method for the calculation of slope and deflection
12:44mins
90
Problems for the calculation of deflection and slope using Castigliano's Theorems
11:22mins
91
More Problems for the calculation of slope and deflection using Castigliano's Theorem
10:00mins
92
Solve these important problems using Castigliano's Theorems
11:36mins
93
Maxwell's Reciprocal Theorem for the calculation of deflection and solve Some Problems
9:52mins
94
Most important problems of Deflection of beams
13:40mins
95
Analysis of Thin Cylinder (Thin Pressure Vessels)
14:45mins
96
Analysis of Thin Cylinder & thin spheres -part 2
14:34mins
97
Exp. for Principal & max. Shear stress, hoop & long. strain & volu. strain in cylindrical vessels
12:12mins
98
Test Yourself
5:44mins
99
Test Yourself-Solutions & Explanation
13:29mins
100
Test Yourself-Part 2
6:59mins
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