The wooden pile shown in the figure has a diameter of 105 mm and is subjected to a load of P = 70 kN. Along the length of the pile and around its perimeter, soil supplies a constant frictional resistance of w = 3.56 kN/m. The length of the pile is L= 4.3 m and its elastic modulus is E = 12.4 GPa. Calculate (a) the force Fg needed at the base of the pile for equilibrium. (b) the magnitude of the downward displacement at A relative to B.

The wooden pile shown in the figure has a diameter of 105 mm and is subjected to a load of P = 70 kN. Along the length of the pile and around its perimeter, soil supplies a constant frictional resistance of w = 3.56 kN/m. The length of the pile is L= 4.3 m and its elastic modulus is E = 12.4 GPa. Calculate (a) the force Fg needed at the base of the pile for equilibrium. (b) the magnitude of the downward displacement at A relative to B.

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

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The wooden pile shown in the figure has a diameter of 105 mm and is subjected to a load of P = 70 kN. Along the
length of the pile and around its perimeter, soil supplies a constant frictional resistance of w = 3.56 kN/m. The
length of the pile is L = 4.3 m and its elastic modulus is E = 12.4 GPa.
Calculate
(a) the force Fg needed at the base of the pile for equilibrium.
(b) the magnitude of the downward displacement at A relative to B.
B
Answers:
(a) FB=
(b) UA=
kN
mm

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