At room temperature, a 0.6-mm gap exists between the ends of the rods as shown in Figure Q2 (a). At a later time when the temperature has increased by 120 degree Celsius, determine the followings: 0.6 mm 350 mm- ks A Im B Figure Q2 (b) 300 mm A Aluminum A = 2000 mm² Stainless steel A = 800 mm² E = 190 GPa E = 75 CPa a = 23 x 16-6/°C a = 17.3 x 10-6/°C Figure Q2 (a) a.) Calculate the support reaction R due to the increase in temperature b.) Calculate the stress and change in length of the stainless steel rod c.) If the rods are connected through the gap with a spring having spring constant ks = 10x10 N/m as shown in Figure Q2 (b), recalculate the reaction R when the increase in temperature is 60 degress Celsius. B

At room temperature, a 0.6-mm gap exists between the ends of the rods as shown in Figure Q2 (a). At a later time when the temperature has increased by 120 degree Celsius, determine the followings: 0.6 mm 350 mm- ks A Im B Figure Q2 (b) 300 mm A Aluminum A = 2000 mm² Stainless steel A = 800 mm² E = 190 GPa E = 75 CPa a = 23 x 16-6/°C a = 17.3 x 10-6/°C Figure Q2 (a) a.) Calculate the support reaction R due to the increase in temperature b.) Calculate the stress and change in length of the stainless steel rod c.) If the rods are connected through the gap with a spring having spring constant ks = 10x10 N/m as shown in Figure Q2 (b), recalculate the reaction R when the increase in temperature is 60 degress Celsius. B

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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Concept explainers

Temperature Difference and Heat Transfer

Whenever there is a flow of heat flux resulting from a temperature gradient within the material or between two materials, there is heat transfer. Heat transfer primarily arises due to temperature differences between two bodies or within bodies. The term temperature gradient denotes temperature differences or variation of temperature due to change in some quantity. The fundamental use of the concept of temperature is found in the zeroth law of thermodynamics.

Question

At room temperature, a 0.6-mm gap exists between the ends of the rods as shown in Figure
Q2 (a). At a later time when the temperature has increased by 120 degree Celsius, determine
the followings:
0.6 mm
350 mm-
ks
A
w
B
Figure Q2 (b)
- 300 mm
A
Aluminum
A = 2000 mm²
E = 75 CPa
Stainless steel
A = 800 mm²
E = 190 GPa
a = 17.3 x 10-6/°C
a = 23 x 16-6/°C
Figure Q2 (a)
a.) Calculate the support reaction R due to the increase in temperature
b.) Calculate the stress and change in length of the stainless steel rod
c.) If the rods are connected through the gap with a spring having spring constant ks =
10x10⁹ N/m as shown in Figure Q2 (b), recalculate the reaction R when the increase
in temperature is 60 degress Ce is.
B

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