(3) Draw the shear force diagram and bending moment diagram of the beam. Indicate the valuesof shear forces and bending moments at points A, B, C, D and E.(4) Calculate the angle of rotation at point A.(5) Calculate the vertical deflection at point E.þ10 kN/m2 mB+1 mFig. Q32 mDOIm5 kNE Q3 A pin-connected beam as shown in Fig. Q3 is pin-supported at A and roller-supported at Band D. The beam is subjected to a point load of 5 kN at E and a uniformly distributed loadingof 10 kN/m over region AC. The Young's modulus is 200 GPa, the second moment of area ofbeam AC is 100×100 mm, and the second moment of area of beam CE is 200×100 mm*.(1) Prove that the beam is stable and determinate.(2) Calculate support reactions at A, B and D of the beam.

Given: The load at E, F = 5 kN The intensity of distributed load, w = 10 kN/m The elastic modulus…

(3) Draw the shear force diagram and bending moment diagram of the beam. Indicate the values of shear forces and bending moments at points A, B, C, D and E. (4) Calculate the angle of rotation at point 4. (5) Calculate the vertical deflection at point E. 10 kN/m 2 m BO Im Fig. Q3 2 m DO Im 5 kN

(3) Draw the shear force diagram and bending moment diagram of the beam. Indicate the values of shear forces and bending moments at points A, B, C, D and E. (4) Calculate the angle of rotation at point 4. (5) Calculate the vertical deflection at point E. 10 kN/m 2 m BO Im Fig. Q3 2 m DO Im 5 kN

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

(3) Draw the shear force diagram and bending moment diagram of the beam. Indicate the values
of shear forces and bending moments at points A, B, C, D and E.
(4) Calculate the angle of rotation at point A.
(5) Calculate the vertical deflection at point E.
þ
10 kN/m
2 m
B
+
1 m
Fig. Q3
2 m
DO
Im
5 kN
E

Q3 A pin-connected beam as shown in Fig. Q3 is pin-supported at A and roller-supported at B
and D. The beam is subjected to a point load of 5 kN at E and a uniformly distributed loading
of 10 kN/m over region AC. The Young's modulus is 200 GPa, the second moment of area of
beam AC is 100×100 mm, and the second moment of area of beam CE is 200×100 mm*.
(1) Prove that the beam is stable and determinate.
(2) Calculate support reactions at A, B and D of the beam.

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