Determine the stresses within the rod, Civil Engineering

Determine the stresses within the rod:

Two parallel walls are stayed together through a steel rod of 5 cm diameter passing through metal plates and nuts at both ends. The nuts are tightened, while the rod is at 150ºC, to remain the walls 10 m apart. Determine the stresses within the rod while the temperature falls down to 50ºC, if

(a) The ends do not yield, and

(b) The ends yield by 1 cm.

Take E = 2 × 105 N/mm2 and α = 12 × 10-6 K-1.

Solution

Given Length of the rod, L = 10 m =104 mm

Diameter of the rod, d = 5 cm = 50 mm

Change in temperature, ΔT = 150 - 50 = 100ºC

E = 2 × 105 N/mm2

α = 12 × 10-6 K-1

(a)        When the ends do not yield (let the stress be σ1)

Thermal stress, σ1, in the rod = E α ΔT

= 2 ×105 × 12 × 10- 6 × 100 = 240 N/mm2

(b)       When the ends yield by 1 cm (let the stress be σ2)

 Thermal Stress, σ2 = ( α ΔT -ΔL′ /L)  × E

= (12 × 10 -6 × 100 -10/104) × 2 × 105

= (0.0012 - 0.001) × 2 × 105 = 40 N/mm2

Posted Date: 1/30/2013 5:55:13 AM | Location : United States







Related Discussions:- Determine the stresses within the rod, Assignment Help, Ask Question on Determine the stresses within the rod, Get Answer, Expert's Help, Determine the stresses within the rod Discussions

Write discussion on Determine the stresses within the rod
Your posts are moderated
Related Questions
random rubble coursed, suare rubble coursed and uncoursed, polygonal walling, flint walling

The ball of a trailer hitch is subjected to a force F. If the failure occurs when the moment of point F around point A reaches 11250 in lbs, determine the largest value F may have

what is quick cement? its manufacture and uses? in which building it is used?

TIMBER Timber refers to wood utilized for construction works. Actually the word timber is derived from an old English word 'Timbrian' that means 'to build'. A tree that yields


What is the Long Term Effects - Concrete Long term effects of  loads on structures consider all the effects including creep and shrinkage.

Using an optical square how would you perform a rectangular tie?

GIS AND REMOTE SENSING

what is the classification of lintel

tell me something about velocity profile?