# Mastering Shear Force and Bending Moment Diagrams

A 3 month course which trains the student on creating shear force and bending moment diagrams for various types of structures

• Domain : CIVIL

### A Quick Overview

The objective of this course is to discuss the fundamental concepts of analysis of beams(single span or mutispans) and portal frames(subjected to gravity and lateral loads) and obtain bending moment and shear force diagram. The idea is to understand how to obtain bending moment and shear force diagrams for various types of structures and loading seen in real life. The course also covers the impact of flexibility/deformation of supports on the bending moment and shear force diagrams of statically indeterminate beams. The concept of influence line diagrams has been discussed as well, which is a very vital aspect of structural analysis to be able to figure out the worst case loading scenarios that would result in the highest bending moment and shear force demand at a particular location. This information is typically used to design real life structures. The concept of approximate analysis of frames subject to gravity and lateral load has also been discussed which helps in estimating the rough order of magnitude of bending moment and shear force that the member would see in the structural members without getting into a 3 dimensional analysis. The course has been designed such that it helps fresh graduates out of college to prepare for job interviews in the field of structural engineering wherein, understanding of concepts of bending moment and shear force diagrams is critical.

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### Course Syllabus

#### 1Introduction

The topics that will be covered in this segment are –

• Stress and strain
• Important aspects of stress-strain curves of commonly used materials(steel and concrete)
• Hooke’s law
• Modulus of elasticity
• Limit of proportionality
• Yield stress
• Proof stress
• Fundamentals of state of equilibrium
• Brief introduction to types of equilibrium
• Equilibrium equations
• Beams and its various types

#### 2Analysis of Single span beams – simply supported beams subjected to various types of load and corresponding bending moment and shear force diagrams

Students would be introduced to analysis approach for single span beams – types of loading that will be considered are uniform loading, concentrated load, linearly varying load

The approach to determine bending moment and shear force diagrams of these beams will be discussed in detail. The usual sign convention used in the industry will also be discussed.

#### 3Introduction to methods of analysis of statically indeterminate beams Analysis of propped cantilever beam.

• Introduction to statically indeterminate beams
• Different methods of analysis of statically indeterminate structures
• Stiffness method and force method
• Equilibrium equations and deformation compatibility equations will be introduced(briefly touching upon Castigliano’s theorem to determine displacements)
• The above methods will be used to determine bending moment and shear force diagrams of a single span statically indeterminate beam –
• Analysis of propped cantilever beam subjected to uniform load and concentrated load

#### 4Introduction to internal hinges in beams and corresponding bending moment diagram and shear force diagrams of single and two span continuous beams

• Introduction to internal hinges in statically indeterminate beams along with real life example
• Implications of internal hinges on bending moments
• Analysis of single span and two span beams with internal hinge
• Determination of bending moment diagram and shear force diagrams for these beams

#### 5Introduction of influence line diagram

• Concept of influence line diagram
• Applications
• Influence lines of vertical reactions for a single span simply supported beam
• Concept of moving loads
• Determination of absolute maximum bending moment in a beam due to a system of concentrated loads

#### 6Introduction of Muller Breslau’s principle

• Muller Breslau’s principle
• To determine qualitatively, influence line diagrams of various quantities of statically determinate band indeterminate beams
• Concept of load patterning will be introduced and application of Muller Breslau’s principle
• To determine qualitatively maximum moment in midspan, maximum moment over support, maximum support reaction, etc for multi span beams

#### 7Introduction to flexible supports of beams (springs)

• Introduction to concept of flexible supports will be done
• Real life examples of flexible supports
• Importance of considering support’s flexibility in statically indeterminate beams
• Two span beam with one of the supports as spring would be analyzed
• The result will be compared to a two span beam without flexible supports for understanding the significance of support’s flexibility

#### 8Introduction to portal frames

• Introduction to portal frame structures
• Various types of portal frames –
• Single storied single bay
• Single storied – two bays
• Two storied single bay
• Two storied two bays
• Multi storied multibay
• Application of portal frames in real life structures – steel and concrete buildings

#### 9Analysis of single storied portal frame subjected to lateral loads

• Analysis of a single storied portal frame with pinned bases using moment distribution method
• Analysis of single storied portal frame with fixed bases using slope deflection method

#### 10Analysis of single storied portal frame subjected to gravity load

• Analysis of single storied portal frame with pinned bases subjected to uniform gravity load using moment distribution method
• Analysis of single storied portal frame with fixed base subjected to concentrated load using slope deflection method
• Concept of sway of portal frame due to gravity loads

#### 11Approximate methods of analysis of multistoried portal frames

• Introduction to approximate methods of analysis of multi-storied portal frames using
• Portal frame method
• Cantilever method
• Derivation of bending moment and shear force diagrams

#### 12Introduction to modelling in ETABS

• A brief introduction to ETABS software
• Demonstration of Analysis of single span and mutispan beams in ETABS
• Demonstration of modelling flexible supports in ETABS
• Demonstration of analysis of single storied and multistoried portal frames in ETABS with various support conditions
• Determination of sway deformation/lateral drifts in the portal frame to be covered

### Projects Overview

Project 1

Highlights

The floor plan of a building will be provided. The red lines running East-west are beams supported by the girders spanning North-South between columns. The floor system is 120 mm thick normal weight concrete floor. The floor finish and mech loads on the floor is 3 kPa. The live load on the floor is 5 kPa. All beams have cross section 500 mmx750 mm. The beams are equally spaced. The rectangles in cyan color are columns. Modulus of elasticity of concrete is 10 GPa.

1. Determine the loading on the beam indicated, analyze the beams and draw bending moment and shear force diagram. Use slope deflection method. Do not consider any load patterning. Also, do not consider any girder deflections for this analysis purpose.
2. For the same beam, consider load patterning to determine maximum positive and negative moments in each span.

Project 2

Highlights

Model a 4 storied and 3 bay frames in ETABS. All interior columns should be 1500x1500 and all exterior columns should be 1000x1000. All beams should be 750x1000. The material for all of beams and columns should be M30 concrete. The heights and spans of columns and beams are as shown below. Apply lateral loads on the frame as shown below in wind load case. Also, apply gravity loads of 5 kN/m on all beams in live load case. Create following load combinations in ETABS:

• 5D+1.5L
• 5D+1.5WL
• 5D-1.5WL
• 2D+1.2L+1.5WL
• 2+1.2L-1.5WL

Obtain bending moment and shear force diagrams in ETABS for each load combination. The bases of interior columns should be fixed, and the bases of exterior columns should be pinned.

### WHO IS THIS COURSE FOR ?

• Students in 3rd/4th year of their graduation in Civil engineering course
• Fresh graduates wanting to pursue career in structural engineering

## SOFTWARE COVERED

##### ETABS 2018 (by CSI)

ETABS  is a software developed by CSI(a USA based company). Its latest version is 2019,however, version 2018 has been used in this course. It is one of the most popular software used in the field of structural engineering worldwide. It is suitable for analysis and design of building type structures. The software has a very sophisticated analysis engine which uses finite element analysis. The software has the capability to analyse and design buildings in accordance with design standards of various countries (India, USA, Canada, Britain, Europe, other asian countries, etc).

### Certification

• Top 5% of the class will get a merit certificate
• Course completion certificates will be provided to all students
• Build a professional portfolio
• E-verified profile that can be shared on LinkedIn

### Frequently Asked Questions

#### 1Who can take this course?

Students in 3rd/4th year of their graduation in Civil engineering course; fresh graduates wanting to pursue a career in structural engineering

#### 2What is included in this course?

Primer on basic mechanics of material, bending moment and shear force diagram of single span beams(with various boundary conditions), bending moment and shear force diagrams for multiple span beams, Influence line diagrams – Mueller Breslau’s principles and its applications, bending moment diagrams and shear force diagrams of portal frames – moment distribution method, approaximate analysis methods – portal frame method and cantilever method, Introduction to Etabs software touching upon modelling and analysis aspects

#### 3What will the student gain from this course?

• The students will be able to get a good refresher of the bending moment and shear force diagrams of various types of structures which is very important to get a job in the field of structural engineering
• An overview of Etabs software which is the most popular software used in India as well as worldwide for analysis and design of real life buildings
• Students will be able to learn approximate methods of analysis of frames and therefore will be quickly able to validate results obtained from hand calculations with what is obtained in ETABS

#### 4What software skills are you teaching and how well are these tools used in the industry?

ETABS will be used in the course which is a well-known software in structural engineering industry as mentioned before. People with hands on experience in ETABS is always given a preference when applying for jobs

#### 5Which companies use these techniques and for what?

Any company which is involved in structural design of various kinds of structures(buildings, airports, canopies, arches, bridges,etc), use these concepts and tools that would be covered in the course

#### 6What is the real world application for the tools and techniques will you teach in this course?

Every man-made structure must be engineered by understanding their response to the external forces. Understanding bending moment and shear force diagrams is one of the most vital and fundamental aspects in the field of structural engineering when people work on design of buildings/structures such as residential, commercial, airports, hospitals, stadia, etc. Also, with exposure to ETABS(the most popular software used in the industry), it will provide an upper hand to the students.

#### 7How is this course going to help me get a job?

Whenever a fresh graduate appears for a job interview in the field of structural engineering, about 60-70 % of the technical questions comprise bending moment and shear force diagrams for simple structures.  Students, after completing this course, will be able to get a feel of bending moment and shear force diagrams of various types of structures and how to derive bending moment and shear force diagrams from scratch. This is very much required at the entry level in the field of structural engineering. Also, getting exposure to ETABS is a huge advantage at entry level in the industry since the companies prefer these candidates in lieu of those on whom the companies need to invest quite a bit of time to train engineers to use ETABS.

#### 8How is your course going to help me in my path to MS or PhD?

The course is going to be a good segue for people wanting to pursue MS after completing their graduation, since the course would help in refreshing the theoretical concepts which is very important for someone who wants to pursue research. This way, they can build upon the fundamental topics and transition on to the advanced level topics.

# Flexible Course Fees

Choose the plan that’s right for you

Basic

2 Months Access

# ₹7000

Per month for 3 months

• Access Duration : 2 Months
• Mode of Delivery : Online
• Project Portfolio : Available
• Certification : Available
• Email Support : Available
• Forum Support : Available

# ₹15000

Per month for 3 months

• Access Duration : Lifetime
• Mode of Delivery : Online
• Project Portfolio : Available
• Certification : Available
• Individual Video Support : 12/ Month
• Group Video Support : 12/ Month
• Email Support : Available
• Forum Support : Available
• Telephone Support : Available
• Dedicated Support Engineer : Available

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