Question

3.- At the ambient temperature of 20 ° C, there is a 1.5 mm gap between the ends of the rods shown below when the temperature reaches 140 ° C. Find:

a) the normal stress on the aluminum rod,

b) changing length of aluminum rod.

Make the free body diagram and explain step by step

1.5 mm 325 mm 225 mm A B Aluminum A = 2000 mm E = 75 CPA a = 23 x 10-6/C Stainless steel Acero inoxidable A= 500 mm E = 190 C

0 0
Add a comment Improve this question Transcribed image text
Answer #1

The temperature difference is Woritter aq 140°C -20c AT AT 120c = Now foree thermal expansion is expressed ag 67 Laca ATT Lgby ба = The normal stress on the aluminums nod i8 givers 오 Aa са (-37264.5)N 2000 mm а 18.632 MPa changing length of aluminu

Add a comment
Know the answer?
Add Answer to:
3.- At the ambient temperature of 20 ° C, there is a 1.5 mm gap between...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • .. At room temperature (20°C) a 0.5-mm gap exists between the of the rods shown. At...

    .. At room temperature (20°C) a 0.5-mm gap exists between the of the rods shown. At a later time when the temperature has reached 140°C, determine (a) the normal stress in the aluminum rod, (b) the change in length of the aluminum rod. (Io 0.5 mm ー250 mm→ Aluminum Stainless steel A=2000min- E = 75 GPa α = 23 × 10-6PC A=soo E= 190 GPa α = 17.3 × 10-6/oC

  • 2- Knowing that a 0.5-mm gap exists between the rods shown below when the temperature is...

    2- Knowing that a 0.5-mm gap exists between the rods shown below when the temperature is 20 °C, determine: (a) The temperature at which the normal stress in the stainless steel rod will be o = -150 MPa, (b) The corresponding exact length of the stainless steel rod 0.5 mm 300 mm- - 250 mm A В Aluminum Stainless steel A = 2000 mm2 E = 70 GPa 23 x 10-/C A = 800 mm2 E = 190 GPa 18...

  • Chapter 2, Reserve Problem 036 At a temperature of 54°F, a 0.12 in. gap exists between...

    Chapter 2, Reserve Problem 036 At a temperature of 54°F, a 0.12 in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy (a = 12.4 x 10-6/°F] and bar (2) is stainless steel [a = 8.3 x 10-6/F]. The supports at A and C are rigid. Determine the lowest temperature at which the two bars contact each other. Assume L1 = 45 in., L2 = 63 in. (1) Answer: Final temperature = the...

  • 0.7 mm 6 BL Problem 3 - Thermal Stress (25 pts) The center rod CD of...

    0.7 mm 6 BL Problem 3 - Thermal Stress (25 pts) The center rod CD of the assembly is heated from T, = 25°C to T2 = 200°C using electrical resistance heating. At the lower temperature T, the gap between C and the rigid bar is 0.7 mm. Determine the force in the rods AB and EF caused by the increase in temperature. Rods AB and EF are made of steel, and each has a cross-sectional area of 125 mm²....

  • b) if the steel cable's temperature is increased by 25°C, determine the reaction at D. note:...

    b) if the steel cable's temperature is increased by 25°C, determine the reaction at D. note: answer the one in the picture as a). 2.15 The length of the 2-mm-diameter steel wire CD has been adjusted so that with no load applied, a gap of 1.5 mm exists between the end B of the rigid beam ACB and a contact point E. Knowing that E 200 CPa, determine where a 20-kg block should be placed on the beam in order...

  • Due to the operational conditions and temperature gradient, a 95 mm diameter, 1.75 m long steel...

    Due to the operational conditions and temperature gradient, a 95 mm diameter, 1.75 m long steel rod within a machine assembly is subjected to a combination of tensile loading of 190 N and thermal loading which imposes a longitudinal force of 244 N. The total loading results in an even distribution of forces on the body of the rod causing it to change its dimensions by increasing 0.45 mm in length at both ends and decreasing by 0.0135 mm at...

  • Due to the operational conditions and temperature gradient, a 95 mm diameter, 1.75 m long steel r...

    Due to the operational conditions and temperature gradient, a 95 mm diameter, 1.75 m long steel rod within a machine assembly is subjected to a combination of tensile loading of 190 N and thermal loading which imposes a longitudinal force of 244 N. The total loading results in an even distribution of forces on the body of the rod causing it to change its dimensions by increasing 0.45 mm in length at both ends and decreasing by 0.0135 mm at...

  • 4. In the same experimental system as in question (3), the environment temperature was 25 C....

    4. In the same experimental system as in question (3), the environment temperature was 25 C. However, a small isolated section has been measured and found to be T spotted from the base of the fin which does not exchange heat with the environment. What would be the length of the isolated part Z that would allow the agreement between both efficiency calculations methods described in question (3) 3. A single fin, made of stainless steel (304) is given in...

  • Figure Q1 The jib crane is pinned at A and supports a chain hoist that can travel along the bottom flange of the a) the force in rod BC b) the minimum diameter of rod BC (to the nearest 5 mm)....

    Figure Q1 The jib crane is pinned at A and supports a chain hoist that can travel along the bottom flange of the a) the force in rod BC b) the minimum diameter of rod BC (to the nearest 5 mm). c) the minimum diameter of pin B (to the nearest 5 mm). The material properties are listed in Table Q2 and use factor of safety of FS-2 (10 marks) beam boist Figure Q2 Table Q2: Material properties (MPa) Shear...

  • Phy222BS Ch1-Ch3 Review 2019 spring 1. The temperature changes from 35°F during the night to 75...

    Phy222BS Ch1-Ch3 Review 2019 spring 1. The temperature changes from 35°F during the night to 75 F during the day What is the temperature change on the Celsius scale? A)72oC B)40°C Answer: D 32 D) 22 c The coefficient of linear expansion of steel is 12 X 10-6 K.. what is the change in length of a 25-m steel bridge span when it undergoes a temperature of 40 K? A) 1.2 cm Answer: A B) 1.4 cm C) 1.6 cm...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
Active Questions
ADVERTISEMENT