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Lesson 12. SOLVING NUMERICAL
Module 3. Stress Lesson 12
SOLVING NUMERICAL 12.1 Problem A rod of 100m long and of 2mx2m cross section is under pull of 1000N force. If the modulus of elasticity of the material is 2 x 10^{6} N/m^{2}, determines the elongation of the rod.
Sol. Given Length of the rod, l=100m Area of the rod, A=2x2=4m^{2} Load P=1000N Modulus of elasticity E=2x10^{6}N/m^{2} Let ∂ l=elongation of the rod. Using the relation 12.2 Problem A brace bar contain ABCD points 1 mt apart from each other of 10m^{2} Area of cross section is subjected to axial force is as shown in fig. Take E=0.8x10^{6 }N/m^{2} Fig.12.1 Brass bar
12.3 Problem A compound bar is as shown in fig. Calculate the total strain of the composite bar? Take E=200GPa =200x10^{3}N/mm^{2}
Fig.12.2 Compound bar Total elongation δℓ= δℓ_{1}+ δℓ_{2}+ δℓ_{3 }or_{ }∂ ℓ= ∂ ℓ_{1}+ ∂ ℓ_{2}+ ∂ ℓ_{3}
