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GATE ME 2017 Set 1 — Question 44

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NAT+2 / -0MediumStress & StrainStress, Strain & Elastic ConstantsStrength of Materials

Strength of Materials → Stress, Strain & Elastic Constants → Stress & Strain

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Question

A horizontal bar, fixed at one end (x=0x = 0), has a length of 1 m1\text{ m}, and cross-sectional area of 100 mm2100\text{ mm}^2. Its elastic modulus varies along its length as given by E(x)=100e−x GPaE(x) = 100 e^{-x}\text{ GPa}, where xx is the length coordinate (in m) along the axis of the bar. An axial tensile load of 10 kN10\text{ kN} is applied at the free end (x=1x = 1). The axial displacement of the free end is ______ mm.
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