2. Using the two theoretical predictions of fracture strength, o = (equation 14.4) YE (equation 14.8), calculate the theoretical fracture strength of iron and ao and ot MgO. For iron, take ao as its atomic diameter (0.124 nm) and, for MgO, as the average of the ionic diameters of Mg*2 and O-² (0.105 nm). The surface energies of iron and MgO are about 2.0 J/m2 and 1.2 J/m2, respectively. Young's moduli of iron and MgO are about 270 GPA and 300 GPa, respectively. How do these answers compare with each other? How do these answers compare with the actual fracture strengths of each?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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2. Using the two theoretical predictions of fracture strength, o;
(equation 14.4)
and ot =
YE
(equation 14.8), calculate the theoretical fracture strength of iron and
ao
Mgo. For iron, take ao as its atomic diameter (0.124 nm) and, for MgO, as the
average of the ionic diameters of Mg+2 and 0-2 (0.105 nm). The surface energies
of iron and MgO are about 2.0 J/m2 and 1.2 J/m², respectively. Young's moduli of
iron and MgO are about 270 GPA and 300 GPa, respectively. How do these
answers compare with each other? How do these answers compare with the actual
fracture strengths of each?
Transcribed Image Text:E 2. Using the two theoretical predictions of fracture strength, o; (equation 14.4) and ot = YE (equation 14.8), calculate the theoretical fracture strength of iron and ao Mgo. For iron, take ao as its atomic diameter (0.124 nm) and, for MgO, as the average of the ionic diameters of Mg+2 and 0-2 (0.105 nm). The surface energies of iron and MgO are about 2.0 J/m2 and 1.2 J/m², respectively. Young's moduli of iron and MgO are about 270 GPA and 300 GPa, respectively. How do these answers compare with each other? How do these answers compare with the actual fracture strengths of each?
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