A sign (mass 1800 kg) hangs from the end of a vertical steel girder with a cross

Question

A sign (mass 1800 kg) hangs from the end of a vertical steel girder with a cross-sectional area of 0.019 m2 . Ignore the mass of the girder itself. The elastic modulus for steel is 2.0 * 1011 N/m2. What is the stress within the girder Express your answer to two significant figures and include the appropriate units, What is the strain on the girder Impress your answer to two significant figures. It the girder is 9.60 m long, how much is it lengthened Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

m = 1800 kg , A = 0.019 m^2, Y = 2*10^11 N/m^2

part A:

stress = F/A = 1800*9.8/0.019

= 9.3*10^5 Pa

part B:

Y = stress/strain

2*10^11 = 9.28*10^5/strain

strain = 4.6*10^-6 m

part C:

L = 9.6 cm

strain = DL/L

4.64*10^-6 = DL/0.096

DL = 4.4*10^-7 m

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.