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
Define Physical deterioration - underwater inspection of bridges Typical defects include: -   Scaling -   Cracking -   Spalling -   Disintegration -   Abrasion



Theories of Failure - cases of solids: Let us now consider the solid shown in Figure (b). (a)        As the principal stresses are within 260 MPa, the solid is safe ac

what''s a distomat?

Soil in Road Construction: Road Embankment and Sub-grade Soil is mainly used as the material for constructing a road embankment. The road embankment supports the road

what is entrance channel in harbour?


Question In modeling a nonrigid mat foundation by using elastic springs, have a uniform modulus of subgrade reaction be used along whole base of mat ? Answer A bed of

Verify the coefficient of elastic uniform compression if a vibration test on a concrete block of 1 m cube gave a resonant frequency of 36 Hz in vertical vibration. The weight of