11 energy methods

Energy Methods Strain Energy Strain Energy Density Elastic Strain Energy for Normal Stresses Strain Energy For Shearing Stresses Sample Problem 11.2 Strain Energy for a General State of Stress Impact Loading Example 11.06 Example 11.07 Design for Impact Loads Work and Energy Under a Single Load Deflection Under a Single Load Sample Problem 11.4 Work and Energy Under Several Loads Castigliano’s Theorem Deflections by Castigliano’s Theorem Sample Problem 11.5

Strain Energy ,[object Object],[object Object],[object Object],[object Object]

Strain Energy Density ,[object Object],[object Object],[object Object],[object Object]

Strain-Energy Density ,[object Object],[object Object],[object Object],[object Object]

Elastic Strain Energy for Normal Stresses ,[object Object],[object Object],[object Object],[object Object]

Elastic Strain Energy for Normal Stresses ,[object Object],[object Object],[object Object]

Strain Energy For Shearing Stresses ,[object Object],[object Object],[object Object]

Sample Problem 11.2 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Sample Problem 11.2 ,[object Object],[object Object],[object Object]

Sample Problem 11.2 ,[object Object]

Strain Energy for a General State of Stress ,[object Object],[object Object],[object Object]

Impact Loading ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Example 11.06 Body of mass m with velocity v 0 hits the end of the nonuniform rod BCD . Knowing that the diameter of the portion BC is twice the diameter of portion CD , determine the maximum value of the normal stress in the rod. ,[object Object],[object Object],[object Object],[object Object]

Example 11.06 ,[object Object],[object Object],[object Object],[object Object]

Example 11.07 A block of weight W is dropped from a height h onto the free end of the cantilever beam. Determine the maximum value of the stresses in the beam. ,[object Object],[object Object],[object Object],[object Object]

Example 11.07 ,[object Object],[object Object],[object Object],[object Object]

Design for Impact Loads ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Work and Energy Under a Single Load ,[object Object],[object Object],[object Object],[object Object]

Deflection Under a Single Load ,[object Object],From statics, From the given geometry, ,[object Object],[object Object]

Sample Problem 11.4 Members of the truss shown consist of sections of aluminum pipe with the cross-sectional areas indicated. Using E = 73 GPa, determine the vertical deflection of the point E caused by the load P. ,[object Object],[object Object],[object Object],[object Object],[object Object]

Sample Problem 11.4 ,[object Object],[object Object]

Work and Energy Under Several Loads ,[object Object],[object Object],[object Object],[object Object]

Castigliano’s Theorem ,[object Object],[object Object],[object Object]

Deflections by Castigliano’s Theorem ,[object Object],[object Object],[object Object]

Sample Problem 11.5 Members of the truss shown consist of sections of aluminum pipe with the cross-sectional areas indicated. Using E = 73 GPa, determine the vertical deflection of the joint C caused by the load P . ,[object Object],[object Object],[object Object],[object Object],[object Object]

Sample Problem 11.5 ,[object Object],[object Object]

11 energy methods

Recommended

Recommended

More Related Content

What's hot

What's hot (20)

Viewers also liked

Viewers also liked (20)

Similar to 11 energy methods

Similar to 11 energy methods (20)

More from Mohamed Yaser

More from Mohamed Yaser (20)

11 energy methods