12.44 A three-point bending test is performed on a spinel (MgAl,O4) specimen having a rectangular cross section of height d = 3.8 mm (0.15 in.) and width b = 9 mm (0.35 in.); the distance between support points is 25 mm (1.0 in.). (a) Compute the flexural strength if the load at fracture is 350N (80 lb;). (b) The point of maximum deflection Ay occurs at the center of the specimen and is described by FL3 Ay = (12.11) 48EI where E is the modulus of elasticity and I is the cross-sectional moment of inertia. Compute Ay at a load of 310N (70 lb).

12.44 A three-point bending test is performed on a spinel (MgAl,O4) specimen having a rectangular cross section of height d = 3.8 mm (0.15 in.) and width b = 9 mm (0.35 in.); the distance between support points is 25 mm (1.0 in.). (a) Compute the flexural strength if the load at fracture is 350N (80 lb;). (b) The point of maximum deflection Ay occurs at the center of the specimen and is described by FL3 Ay = (12.11) 48EI where E is the modulus of elasticity and I is the cross-sectional moment of inertia. Compute Ay at a load of 310N (70 lb).

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

12.44 A three-point bending test is performed on a
O spinel (MgAl,O4) specimen having a rectangular
cross section of height d = 3.8 mm (0.15 in.) and
width b = 9 mm (0.35 in.); the distance between
support points is 25 mm (1.0 in.).
(a) Compute the flexural strength if the load at
fracture is 350 N (80 lb;).
(b) The point of maximum deflection Ay occurs
at the center of the specimen and is described by
FL³
Ay =
(12.11)
48EI
where E is the modulus of elasticity and I is the
cross-sectional moment of inertia. Compute Ay at
a load of 310 N (70 lb¡).

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