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 106 N/m2, determines the elongation of the rod.

Sol.

Given Length of the rod, l=100m

Area of the rod, A=2x2=4m2

Load P=1000N

Modulus of elasticity E=2x106N/m2

Let l=elongation of the rod.

Using the relation

12

12.2 Problem

A brace bar contain ABCD points 1 mt apart from each other of 10m2 Area of cross section is subjected to axial force is as shown in fig. Take E=0.8x106 N/m2



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

=200x103N/mm2



Fig.12.2 Compound bar

Total elongation δℓ= δℓ1+ δℓ2+ δℓ3 or ∂ ℓ= ∂ ℓ1+ ∂ ℓ2+ ∂ ℓ3

Last modified: Thursday, 27 September 2012, 9:51 AM