Create a free account and view content that fits your specific interests in structural engineering __Learn More__

Contents [show]

The angular velocity of the circle is defined by the equation ω=3t^{2}+2 rad/sec where t in sec. Determine the magnitudes of the velocity and acceleration of point B on the circle of 1m diameter when t=10 sec.

**Solution**

ω = 3t^{2}+2 rad/sec

a = dω / dt = 6t

t = 10 sec

a = 60 rad/sec^{2}

VA = ω*R=(3*10^2+2)*0.5=151m/sec

a = 60 rad/sec^{2}

a_{t }= a*R = 60*0.5 = 30m/sec^{2}

a_{w }= ω^{2}*R = 302^2*0.5 = 45.6m/sec^{2}

a_{A }= SQRT(a_{t}^{2}+ a_{w}^{2})

Calculation Example: Natural Periods of Vibration for SystemsCalculation Example: Axial Force On A ColumnCalculation Example: Shear 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 strengthTemperature 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 area

Check the shear connection for the IPE450-S275 for the design shear VEd=500KN. Bolts M20-8.8, plate...

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

Check the shear connection for the IPE450-S275 for the design shear VEd=300KN. Bolts M20-8.8, plate...

Calculate the max stress because of torsional moment on the outer layer of a steel hollow rod when t...

Find the axial forces of the members 2-3, 9-3 of the truss for the given loads. Solution...

The column A moves to the right with variable speed V(t)=2*Vo*t+c. Calculate the angular velocity an...

Consider a universal column 200mm x 200mm with a flange thickness of 10mm and web thickness of 7mm...

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

Calculate the distance x for locating point load so that the moment on the beam at point B is zero....

Sep, 16, 2022 | Education #### Diaphragms

Jun, 18, 2019 | Education #### Calculate the Maximum Shear Stress

Aug, 05, 2019 | Education #### How to calculate yield strength

Aug, 28, 2023 | Education #### Truss deflection using the unit load method

Sep, 08, 2015 | Education #### Calculation Example: Axial Force On A Column

Mar, 01, 2024 | Education #### Overhanging beam: shear force and bending moment calculation

Oct, 04, 2017 | Education #### Calculation Example – Plastic Neutral Axis.

Mar, 08, 2016 | Education #### Calculation Example – Beam with inner hinge (Part A). Find the Reactions