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- A steel bar is 10mm diameter and 4m long. If the temperature drops by 12°C and a = 11.7 um/m°C, what is the bar's thermal deformation? CLATErase Figure 9 In using the method of consistent deformation in analysing structures, the compatibility equation has to be written. Why is this necessary?If the material is subjected to triaxial stress, What does each principal stress contribute?
- A steel column has a sectional area of 0.126 m^2 and a length of 3 m. IF a 50000 KN load is applied to the column, determine the deformation in the column. A steel has a modulus of elasticity of 200 GpPaStructure analysisAt what angular velocity will the stress of the rotating steel ring equal 30 ksi if its mean radius is 5/4"? The density of steel 7.85 Mg/m^3.
- What trend exists between the stacking fault energy of a metal and the rate at which is will cyclically strain harden or soften? Give an example of a common high SFE metal and a common low SFE metal.S Figure P1.16 shows the stress-strain relations of metals A and B during ten- sion tests until fracture. Determine the following for the two metals (show all calculations and units): a. Proportional limit b. Yield stress at an offset strain of 0.002 m/m. c. Ultimate strength d. Modulus of resilience e. Toughness f. Which metal is more ductile? Why? 900 Metal A 600 Metal B 300 0.00 0.02 0.04 0.06 0.08 0.10 0.12 0.14 Strain, m/m FIGURE P1.16 Stress, MPaA specimen of steel has a rectangular cross section 20 mm wide and 40 mm thick, an elastic modulus of 207 GPa, and a Poisson's ratio of 0.30. If this specimen is pulled in tension with a force of 60,000 N, what is the change in width if deformation is totally elastic? O Increase in width of 3.62 x 10-6 m O Decrease in width of 7.24 x 10-6 m Increase in width of 7.24 x 106 m O Decrease in width of 2.18 x 10-6 m
- 1.17 Figure P1.17 shows the stress-strain relations of metals A and B during tension tests until fracture. Determine the following for the two metals (show all calcu- lations and units): a. Proportional limit b. Yield stress at an offset strain of 0.002 in./in. 150 - - Metal A 100 • Metal B 50 0.00 0.02 0.04 0.06 0.08 0.10 0.12 0.14 Strain, in./in. FIGURE P1.17 c. Ultimate strength d. Modulus of resilience e. Toughness f. Which metal is more ductile? Why? Stress, ksiStress analysisA steel bar of 50 mm × 50 mm square cross-section is subjected to an axial compressive load of 200 kN. If the length of the bar is 2 m and E = 160 GPa, then the magnitude of deformation of the bar will be?
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