Question

PROBLEM 2.108 For the composite rod of Prob. 2.107 , if ( P ) is gradually increased from zero until the deflection of point ( C ) reaches a maximum value of ( delta_{m}=0.3 mathrm{~mm} ) and then decreased back to zero, determine (a) the maximum value of ( P,(b) ) the maximum stress in each portion of the rod, ( (c) ) the permanent deflection of ( C ) after the load is removed. PROBLEM 2.107 Rod ( A B ) consists of two cylindrical portions ( A C ) and ( B C ), each with a cross-sectional area of ( 1750 mathrm{~mm}^{2} ). Portion ( A C ) is made of a mild steel with ( E=200 mathrm{GPa} ) and ( sigma_{Y}=250 mathrm{MPa} ), and portion ( C B ) is made of a high-strength steel with ( E=200 mathrm{GPa} ) and ( sigma_{Y}=345 mathrm{MPa} ). A load ( mathbf{P} ) is applied at ( C ) as shown. Assuming both steels to be elastoplastic, determine (a) the maximum deflection of ( C ) if ( P ) is gradually increased from zero to 975 kN and then reduced back to zero, (b) the maximum stress in each portion of the rod, ( (c) ) the permanent deflection of ( C ).

          PROBLEM 2.108
For the composite rod of Prob. 2.107 , if ( P ) is gradually increased from zero until the deflection of point ( C ) reaches a maximum value of ( delta_{m}=0.3 mathrm{~mm} ) and then decreased back to zero, determine (a) the maximum value of ( P,(b) ) the maximum stress in each portion of the rod, ( (c) ) the permanent deflection of ( C ) after the load is removed.

PROBLEM 2.107 Rod ( A B ) consists of two cylindrical portions ( A C ) and ( B C ), each with a cross-sectional area of ( 1750 mathrm{~mm}^{2} ). Portion ( A C ) is made of a mild steel with ( E=200 mathrm{GPa} ) and ( sigma_{Y}=250 mathrm{MPa} ), and portion ( C B ) is made of a high-strength steel with ( E=200 mathrm{GPa} ) and ( sigma_{Y}=345 mathrm{MPa} ). A load ( mathbf{P} ) is applied at ( C ) as shown. Assuming both steels to be elastoplastic, determine (a) the maximum deflection of ( C ) if ( P ) is gradually increased from zero to 975 kN and then reduced back to zero, (b) the maximum stress in each portion of the rod, ( (c) ) the permanent deflection of ( C ).

PROBLEM 2.108
For the composite rod of Prob. 2.107 , if ( P ) is gradually increased from zero until the deflection of point ( C ) reaches a maximum value of ( deltam=0.3 mathrm mm ) and then decreased back to zero, determine (a) the maximum value of ( P,(b) ) the maximum stress in each portion of the rod, ( (c) ) the permanent deflection of ( C ) after the load is removed.

PROBLEM 2.107 Rod ( A B ) consists of two cylindrical portions ( A C ) and ( B C ), each with a cross-sectional area of ( 1750 mathrm mm^2 ). Portion ( A C ) is made of a mild steel with ( E=200 mathrmGPa ) and ( sigmaY=250 mathrmMPa ), and portion ( C B ) is made of a high-strength steel with ( E=200 mathrmGPa ) and ( sigmaY=345 mathrmMPa ). A load ( mathbfP ) is applied at ( C ) as shown. Assuming both steels to be elastoplastic, determine (a) the maximum deflection of ( C ) if ( P ) is gradually increased from zero to 975 kN and then reduced back to zero, (b) the maximum stress in each portion of the rod, ( (c) ) the permanent deflection of ( C ).

Added by Sawood J.

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