Four (4) alloys are been considered for a tie-rod of 400mm initial length and 11

Question

Four (4) alloys are been considered for a tie-rod of 400mm initial length and 11.3mm initial diameter. Under a tensile load of 30,000N, the rod should NOT experience plastic deformation nor an elongation > 1.0mm. Suggest suitable candidate(s) for this application.

Material

Modulus of Elasticity (GPa)

Yield Strength (MPa)

Tensile Strength (MPa)

Alloy A

121

315

425

Alloy B

102

350

325

Alloy C

110

240

300

Steel X

210

400

525

Material

Modulus of Elasticity (GPa)

Yield Strength (MPa)

Tensile Strength (MPa)

Alloy A

121

315

425

Alloy B

102

350

325

Alloy C

110

240

300

Steel X

210

400

525

Explanation / Answer

stress=force/area=30,000/3.142* (11.3/2 *0.001)^2=299.10 mpa

alloy c cant be used as its yield strength is less than 299.10 mpa

modulus=stress/strain

strain=stress/mdulus

for a,

strain=299.10/121*10^3=2.4719 *0.001=delta(l)/l=delta(l)/400mm

delta(l)=400 mm*2.4719 *0.001=0.988 <1

for b,

strain=299.10/102*10^3=2.932 *0.001=delta(l)/l=delta(l)/400mm

delta(l)=400 mm*2.932 *0.001=1.172 >1

for x,

strain=299.10/210*10^3=1.424 *0.001=delta(l)/l=delta(l)/400mm

delta(l)=400 mm*1.424 *0.001=0.569 <1

so, only alloy A AND steel X can be used

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