Structural Analysis

Structural Analysis

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Structural Analysis

61 Lectures

1933 min

Introduction
33 min
Idealization of Structures, Threats and Responses
33 min
Static Equilibrium
36 min
Determinate and Indeterminate Structures
33 min
Review of Bending Moment and Shear Force Diagram of Beam
30 min
Tutorial - I
28 min
Analysis of Statically Determinate Structures: Truss
31 min
Analysis of Truss: Method of Joints
31 min
Analysis of Truss: Method of Joints - 2
25 min
Analysis of Truss: Method of Sections
34 min
Analysis of Truss: Method of Sections - 2
28 min
Analysis of Statically Determinate Structures: Method of Virtual Work
36 min
Analysis of Statically Determinate Structures: Method of Virtual Work - 2
26 min
Analysis of Statically Determinate Structures: Method of Virtual Work - 3
39 min
Analysis of Statically Determinate Structures: Method of Virtual Work - 4
25 min
Analysis of Statically Determinate Structures: Method of Virtual Work - 5
41 min
Deflection of Beams and Frames
33 min
Deflection of Beams and Frames - 2
34 min
Deflection of Beams and Frames - 3
32 min
Deflection of Beams and Frames - 4
25 min
Deflection of Beams and Frames - 5
20 min
Deflection of Beams and Frames - 6
33 min
Deflection of Beams and Frames - 7
20 min
Deflection of Beams and Frames - 8
34 min
Deflection of Beams and Frames - 9
29 min
Deflection of Beams and Frames - 10
21 min
Deflection of Beams and Frames - 11
30 min
Influence Line Diagram and moving Loads
34 min
Influence Line Diagram and moving Loads - 2
29 min
Influence Line Diagram and moving Loads - 3
30 min
Influence Line Diagram and moving Loads - 4
33 min
Influence Line Diagram and moving Loads - 5
42 min
Analysis of Statically Indeterminate Structures
33 min
Analysis of Statically Indeterminate Structures - 2
24 min
Analysis of Statically Indeterminate Structures - 3
35 min
Analysis of Statically Indeterminate Structures - 4
26 min
Analysis of Statically Indeterminate Structures - 5
24 min
Analysis of Statically Indeterminate Structures: Method of Consistent Deformations
31 min
Analysis of Statically Indeterminate Structures: Method of Consistent Deformations - 2
34 min
Analysis of Statically Indeterminate Structures: Method of Consistent Deformations -3
30 min
Analysis of Statically Indeterminate Structures: Method of Consistent Deformations
24 min
Analysis of Statically Indeterminate Structures by Force Method
36 min
Analysis of Statically Indeterminate Structures by Force Method - 2
29 min
Analysis of Statically Indeterminate Structures by Force Method - 3
21 min
Analysis of Statically Indeterminate Structures by Force Method - 4
35 min
Analysis of Statically Indeterminate Structures by Force Method - 6
33 min
Analysis of Intermediate Structures by Displacement Methods
37 min
Analysis of Intermediate Structures by Displacement Methods - 2
38 min
Analysis of Intermediate Structures by Displacement Methods - 3
33 min
Analysis of Intermediate Structures by Displacement Methods - 4
25 min
Analysis of Intermediate Structures by Displacement Methods - 5
29 min
Analysis of Intermediate Structures by Displacement Methods - 6
32 min
Analysis of Intermediate Structures by Displacement Methods - 7
37 min
Analysis of Intermediate Structures by Displacement Methods - 8
31 min
Analysis of Intermediate Structures by Displacement Methods - 9
28 min
Analysis of Intermediate Structures by Displacement Methods - 10
44 min
Direct Stiffness Method
51 min
Direct Stiffness Method - 2
33 min
Direct Stiffness Method - 3
39 min
Direct Stiffness Method - 4
41 min
Direct Stiffness Method - 4
32 min

Course details

Course suitable for

Rail & Transport
Civil & Structural

Key topics covered

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Questions and Answers

Q: What role does the stiffness matrix play in the finite element method for structural analysis?

A: In the finite element method (FEM), the stiffness matrix represents the relationship between nodal displacements and applied forces for each element. It quantifies the element's resistance to deformation. When assembling the global stiffness matrix for the entire structure, these element matrices are combined according to connectivity. Solving the system of equations involving the global stiffness matrix allows determination of nodal displacements, which are subsequently used to find strains and stresses. For an in-depth understanding, visit: https://www.civilengineeringforum.me/structural-analysis-finite-element-method/

Q: How do you determine if a structure is statically determinate or indeterminate?

A: A structure is statically determinate if its reactions and internal forces can be found solely using the equations of static equilibrium (sum of forces and moments equals zero). If the number of unknowns exceeds the number of equilibrium equations, the structure is statically indeterminate. Indeterminate structures require additional compatibility equations relating displacements and deformations to solve for unknowns. The degree of indeterminacy can be calculated using formulas depending on structure type (beams, frames, trusses). See the detailed explanation at: https://www.engineeringtoolbox.com/statically-determinate-indeterminate-d_1244.html

Q: What is the significance of the moment distribution method in structural analysis?

A: The moment distribution method, developed by Hardy Cross, is an iterative technique used to analyze indeterminate structures. It simplifies the calculation of moments in continuous beams and frames by distributing fixed-end moments to adjacent members until equilibrium is achieved. This method is significant because it allows engineers to manually solve complex structures without requiring large computational resources. More about this method can be found in "Structural Analysis" by R.C. Hibbeler.

Q: Can you briefly describe how shear forces and bending moments vary along a simply supported beam with a uniform load?

A: For a simply supported beam under a uniform distributed load, the shear force diagram is linear, starting at a maximum positive value at one support, decreasing linearly to a maximum negative value at the other support. Specifically, shear force decreases from the reaction at the left support to the negative of that reaction at the right support. The bending moment diagram is parabolic, reaching its maximum at the mid-span of the beam. The maximum bending moment can be calculated by (w*L^2)/8 where w is the uniform load intensity and L is the span length. Detailed diagrams and formulas are available in engineering mechanics textbooks such as 'Mechanics of Materials' by Gere.

Q: Can you explain the difference between static and dynamic analysis in structural engineering?

A: Static analysis involves evaluating structures under loads that are applied slowly and remain constant or change very slowly. It assumes that loads are applied gradually until they reach their maximum magnitude. Dynamic analysis, on the other hand, deals with loads that vary with time, such as seismic activity, wind gusts, or moving vehicles. Dynamic analysis considers inertia and damping effects, which are ignored in static analysis. For more detail, you can refer to the ASCE 7 guidelines: https://www.asce.org/

Structural Analysis

Engineering Academy

FREE

Beginner course for learners

Structural Analysis

Engineering Academy

Why enroll

Opportunities that awaits you!

Earn a course completion certificate

Career opportunities

Course content

Structural Analysis

Course details

Course suitable for

Key topics covered

Why people choose EveryEng

Rahul Dalal

Rajeev Panda

Vishal Kokate

Siddharth Jain

Omkar Zolekar

Engineering Academy

Questions and Answers

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