Stresses in steel and brass rod/Elongation in rods/ simple stress and strain/strength of materials

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Stresses in steel and brass rod/Elongation in rods/ simple stress and strain/strength of materials
Stresses in steel and brass rod due external load/ simple stress and strain/strength of materials/
A steel rod of cross-sectional area 800 mm2 and two brass rods each of cross sectional area 500mm2 together support a load of 25KN as shown in Fig. Calculate the stresses in the rods. Take E forsteel as 200 GPa and E for brass as 100 Gpa.
  1. Prof.Dr.Pravin Patil
  2. Stresses in steel and brass rod/Elongation in rods/ simple stress and strain/strength of materials
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The composite bar shown in Fig. 1-20(a) is rigidly attached to the two supports. The left portion of the bar is copper, of uniform cross-sectional area 80 cm^2 and length 30 cm. The right portion is aluminum, of uniform cross-sectional area 20 cm^2 and length 20 cm. At a temperature of 26 degree C the entire assembly is stress free. The temperature of the structure drops and during this process the right support yields 0.025 mm in the direction of the contracting metal. Determine the minimum temperature to which the assembly may be subjected in order that the stress in the aluminum does not exceed 160 MPa. For copper E = 100 GPa, alpha = 17 times 10^6/degree C, and for aluminum E = 80 GPa, alpha = 23 times 10^-6/degree C.

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Each of the rods as shown below are of 6000 mm2 area at a temperature of 15
oC. Find the temperature at
which the stress in the steel rod will be zero. Take 𝛂 for steel as 12 x 10
- 6
/
0C and 𝛂 for bronze as
18 x 10
- 6
/
0C. Young’s Modulus for steel is 200 GPa and for bronze is 80 GPa.

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