The flow limit of commercial-grade aluminum is given as σ = 120
MPa, the modulus of elasticity is E = 70 GPa and the density is 2.7
gr / cm3.
a) There is a 4mm diameter and 3m long wire which made with this
material. How many N should be applied to make this wire 3mm
longer?
b) If a 4 mm diameter wire made of this material is hung from the
ceiling, what should be the total length of...
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An isotropic sample of a material is subjected to a compressive
stress of 230 MPa in the x direction. However, it is confined so
that the sample cannot deform in the y and z directions. Data:
Young’s modulus of the block E = 46 GPa Poisson ratio υ = ⅓ Height
= 0.5 m Width = 0.5 m Length = 0.5 m Calculate these stresses in
the y- and z-directions (in MPa to 2 decimal places) Calculate the
strain in...
Young's modulus is a quantitative measure of the stiffness of an elastic material. Suppose that for aluminum alloy sheets of a particular type, its mean value and standard deviation are 70 GPa and 1.6 GPa, respectively (values given in the article "Influence of Material Properties Variability on Springback and Thinning in Sheet Stamping Processes: A Stochastic Analysis" (Intl. J. of Advanced Manuf. Tech., 2010: 117-134)).(a) If X is the sample mean Young's modulus for a random sample of n =...
Young's modulus is a quantitative measure of stiffness of an
elastic material. Suppose that for aluminum alloy sheets of a
particular type, its mean value and standard deviation are 70 GPa
and 1.6 GPa, respectively (values given in the article "Influence
of Material Properties Variability on Springback and Thinning in
Sheet Stamping Processes: A Stochastic Analysis" (Intl. J. of
Advanced Manuf. Tech., 2010: 117–134)). (a) If X is the sample mean
Young's modulus for a random sample of n =...
Aluminum oxide (Al2O3) has an elastic modulus of 400 GPa and a
KIc of 4 MPa•m1/2 . A specimen is tested in tension and is found to
deform elastically up to the point of fracture at a stress of 450
MPa. (a) Make a diagram of engineering stress-engineering strain to
show this behavior. (b) Find the strain at fracture. (b) Estimate
the flaw size (a) that caused failure (assume Y = 1). (c) If
another specimen of the same size...
At a tensile strength of 1000 MPa, the material with the lowest
embodied energy is
titanium alloys
high carbon steel
nickel-based superalloys
tungsten alloys
A rectangular glass plate (Young's Modulus 70 GPa, Ultimate
Tensile Strength 138 MPa, fracture Toughness Kic = 1.2 MPa.m0.5)
has a length of 200 mm, width of 100 mm and a thickness of 5 mm.
The plate is subjected to an in-plane tensile load across its
width.
(a) What is the maximum load the plate can carry ifit had no
flaws?
(b) What is the maximum flaw size that can be tolerated at the
centre of the plate before the...