Question

In: Physics

A sign (mass 2200 kg ) hangs from the end of a vertical steel girder with...

A sign (mass 2200 kg ) hangs from the end of a vertical steel girder with a cross-sectional area of 0.12 m2 .

A)What is the stress within the girder? Express your answer using two significant figures.

B)What is the strain on the girder? Use Esteel=2.0×1011N/m2 Express your answer using two significant figures.

C)If the girder is 6.50 m long, how much is it lengthened? (Ignore the mass of the girder itself.) Express your answer using two significant figures.

Solutions

Expert Solution

Given:

  • Mass of the sign :
  • Cross sectional area :
  • Modulus of elasticity for steel :
  • Acceleration due to gravity :

A) Stress within the girder :-

Stress is defined as the force per unit area,

This is the stress within the girder.

. . .

B) Strain on the girder :-

Strain is given by,

This is the strain on the girder.

​​​​​​​. . .

C) Length :-

The girder is 6.50 meter long.

Elongation in length is given by,

This much the girder is get lengthened.


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