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
Compass Surveying: You have studied about the compass and its use for bearings of measuring survey lines. The angular measurements are carried out with prismatic compass that

What is the California bearing ratio for granular A, Granular B, 19 mmm Crusher Run Limestone, 50 mm Crusher run limestone, HL3 and HL8 Asphalt?


Determine the total Stopping Sight Distance in feet A motorist is travelling down a 6% grade at 65 mph and needs to stop because of a crash scene.  Assuming a 2.0 sec PRT and 1


State the term - constant eccentricity A pre-stressed concrete beam has a width of 300 mm and an overall depth of 450 mm. The permissible stresses in tension and compression du

what should we do if alkalinity in water is greater than 25

Radial flow pumps for small flows and high heads In radial flow pumps, a diffuser/volute is generally designed at it outlet to convert the kinetic energy obtained during the pu

A raft, 8 m × 24 m, is founded at a depth of 4 m in sand with a value of N = 20 up to great depth. Illustrate the total load which the raft can support? What will be the total c

Define Storms - underwater inspection of bridge? Storms can have a detrimental effect on bridge substructure. The velocity and depth of water and debris carried increase in rel