1. Home
  2. Education
  3. Professional Examinations Preparation
  4. Calculation Examples
  5. Calculation Example: Shear force On A Column
Bentley's Optimizing Foundation Design and Performance Using STAAD.Foundation Advanced 2024 begins at 22 May 2025
More
Create a free account and view content that fits your specific interests in structural engineering Learn More
Register
CivilEngineer Shear force structural Calculation Example

Calculation Example: Shear force On A Column

img

A force is acting at the top of a building frame as shown. The supporting columns are of equal height and are fixed at the base. The modulus of elasticity E is the same for each column. Assuming the top plate is rigid and

1

What is the shear distributed to the first column?

Capture

2

Answer B.
Since the columns are rigid, the force is distributed to the columns in proportion to their rigidities (or stiffnesses). The composite stiffness is the sum of the individual column stiffnesses.

3

Substitute for K1, K2 and K3. Then simplify.

4

It is given that E1= E2 =E3 and h1=h2=h3. Therefore,

5a

Substitute Eq. 2 into Eq. 1 and solve.

6

Therefore,

7

 

Selected Topics

Calculation Example: Natural Periods of Vibration for SystemsCalculation Example: Axial Force On A ColumnCalculation Example: Overturning Moment for Shear panelCalculation Example: Calculate the Change in Length of a Rod loaded in extensionCalculation Example - Calculate the Axial Forces on the Truss MembersCalculation Example - Calculate the member diagramsCalculation Example - Calculate the member diagrams for the beamCalculation Example – Beam with inner hinge (Part A). Find the ReactionsCalculation Example – Beam with inner hinge (Part B). Calculate the member diagrams.Calculation Example – Frame analysis.Calculation Example – Frame analysis – Uniform LoadCalculation Example – Find the Center of Gravity (Surface)Calculation Example – Design bolted connection of tension plates (EC3)Calculation Example – Cantilever BeamCalculation Example – Cantilever Beam, Temperature changeCalculation Example – Undamped free Vibration (Part A).Calculation Example – Undamped free Vibration (Part B).Calculation Example – Evaluation of Structural Property Matrices.Calculation Example – Angular acceleration, angular velocity.Calculation Example – Shear bolt connection EC3.Calculation Example – Buckling of Column (EC3).Calculation Example - Calculate the member diagrams.Calculation Example - Calculate the member diagrams.Calculation Example - Calculate the equation of the elastic curve.Calculation Example - Calculate the location of support.Calculation Example – Plane stress.Calculation Example - Annular cross section, Stress.Calculation Example – Allowable shear force for the girder.Calculation Example - Calculate the deflection. Castigliano Theorem.Calculation Example – Determine the shear force and moment.Calculation Example – Determine the magnitudes of F1,F2.Calculation Example – Internal forces.Calculation Example - Calculate the Axial Forces of the Truss Members.Calculation Example – Calculate the moments of inertia Ix and Iy.Calculation Example – Calculate shear stress for temperature load.Calculation Example – Calculate tension force using virtual work.Calculation Example – Torsional moment-Stress.Calculation Example – Reinforced Concrete Column at Stress.Calculation Example – Cantilever Beam with uniform loading.Calculation Example – Cantilever Beam with point loads.Calculation Example – Rod loadingCalculation Example – Maximum DeflectionCalculation Example – Member Diagram.Calculation Example – Minimum allowable Diameter.Calculation Example – Critical load.Calculation Example – Simple harmonic vibration part1Calculation Example – Simple harmonic vibration part 2Calculation Example – FrictionCalculation Example – Section Modulus SCalculation Example – Plastic Neutral Axis.Calculation Example – Buckling of Column (EC3).Calculation Example – Shear bolt connection EC3.Calculation Example – Member Diagram. Triangular load.Calculation Example – Torsional moment-Stress.Calculation Example – Angular acceleration, angular velocity.Calculate the location of point loadShear bolt connection EC3Torsional Moment-StressCalculate the Axial Forces of the Truss MembersCalculate the Maximum Shear StressHow to calculate yield strengthCalculate angular velocity, angular accelerationTemperature ChangeAverage shear stress in pressure vesselAllowable shear force of the girderCalculation ExamplesCalculate the variation in length of the rodSpring Assemblies in Series/Parallel: Two Springs in SeriesTruss vs CableCalculate the vertical deflection of a beamFlexular Crack in Concrete BeamMaximum Factored Vertical ShearColumn in bucklingBeams: maximum momentNominal flexural strength of a reinforced concrete beamCalculation of the cross-sectional area and the position of centroidCalculation of the second moments of areaExample: longitudinal reinforcement for shear and torsion according to EC2

Want to read more like this?

Behavior of Columns During Earthquakes

Jan, 01, 2019 | Education

The behavior of columns in earthquakes is very important since column failures may lead to additiona...

Calculation Example: Natural Periods of Vibration for Systems

Jul, 30, 2015 | Education

Each of the following columns supports a block of identical mass, m. The columns are fixed at the bo...

Types of reinforced concrete structures collapse

May, 20, 2019 | News

Many types of failure can trigger the collapse of a reinforced concrete building. Any structure m...

Columns

Sep, 14, 2023 | Education

Column, in structural engineering, is a vertical structural element that primarily supports compres...

Calculation Example – Undamped free Vibration (Part A).

Aug, 17, 2016 | Education

Calculate the Mass and the Stiffness matrix for the shear frame below. The mass is lumped at each le...

Calculation Example – Reinforced Concrete Column at Stress.

Oct, 04, 2017 | Education

A rectangular column (400mmX400mm) is constructed of concrete and four steel reinforcing rebars. An...

Calculation Example – Undamped free Vibration (Part B).

Aug, 17, 2016 | Education

Calculate the modal frequencies for the shear frame at the previous exercise Undamped free Vibration...

Calculation Example: Axial Force On A Column

Sep, 08, 2015 | Education

For the building shown below, the forces on the wall are as illustrated. What is the axial force on...

CADS RC Column Designer

Dec, 27, 2013 | Software

Trending

READ ARTICLE
Jun, 18, 2019 | Education

Calculate the Maximum Shear Stress

READ ARTICLE
Sep, 16, 2022 | Education

Diaphragms

READ ARTICLE
Jun, 29, 2023 | Education

Nominal flexural strength of a reinforced concrete beam

READ ARTICLE
Sep, 16, 2022 | Education

Structural stability

READ ARTICLE
Oct, 04, 2017 | Education

Calculation Example – Plastic Neutral Axis.

READ ARTICLE
Aug, 28, 2023 | Education

Truss deflection using the unit load method

READ ARTICLE
Mar, 01, 2024 | Education

Overhanging beam: shear force and bending moment calculation

READ ARTICLE
Aug, 05, 2019 | Education

How to calculate yield strength