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Q4/A brass bar shown in fig 2 is subjected to a tensile load of 40 kN. Find the total clongation of the bar if E=1x10 N/mm2

Q4/A brass bar shown in fig 2 is subjected to a tensile load of 40 kN. Find the total clongation of the bar if E=1x10 N/mm2

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Q4/A brass bar shown in fig 2 is subjected to a tensile load of 40 kN. Find the total clongation of the bar if E=1x10 N/mm2
Transcribed Image Text:Q4/A brass bar shown in fig 2 is subjected to a tensile load of 40 kN. Find the total clongation of the bar if E=1x10 N/mm2
Expert Solution
Step 1

Given Data :

load, P = 40 KN = 40000 N

length L1 = 200 mm , L2 = 300 mm, L3 = 400 mm

Diameter d1 = 30 mm , d2 = 20 mm , d3 = 40 mm

Young modulus of elasticity, E = 1*105 N/mm2 

Area A1 = π*302/4 = 706.86 mm2

Area A2 = π*202/4 = 314.16 mm2

Area A3 = π*402/4 = 1256.64 mm2

Therefore,

Total elongation , Δ = Δ1+ Δ2+ Δ3

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