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An 18-m-long steel wire of 5-mm diameter is to be used in
Chapter 2, Problem 2.3(choose chapter or problem)
An 18-m-long steel wire of 5-mm diameter is to be used in the manufacture of a prestressed concrete beam. It is observed that the wire stretches 45 mm when a tensile force P is applied. Knowing that E = 200 GPa, determine (a) the magnitude of the force P, (b) the corresponding normal stress in the wire.
Questions & Answers
QUESTION:
An 18-m-long steel wire of 5-mm diameter is to be used in the manufacture of a prestressed concrete beam. It is observed that the wire stretches 45 mm when a tensile force P is applied. Knowing that E = 200 GPa, determine (a) the magnitude of the force P, (b) the corresponding normal stress in the wire.
ANSWER:Step 1 of 4
We will find the force applied on the wire using the formula for elongation due to single axial load. The tensile stress can also be computed by dividing the applied force by the cross sectional area.
Given data are.
Length of wire: L = 18 m
Diameter of wire L: D = 5 mm
Modulus of elasticity: E = 200 Gpa
Deformation: