In the figure, the horizontal rigid beam ABCD is supported by vertical bars (1) and (2) and is loaded at points A and D by vertical forces P = 28 kN and Q = 40 kN, respectively. Bar (1) is made of aluminum [E = 70 GPa] and has a cross-sectional area of 210 mm² and a length of L₁ = 7.3 m. Bar (2) is made of steel [E = 200 GPa] and has a cross-sectional area of 355 mm² and a length of L₂ = 5.2 m. Assume dimensions a = 3.6 m, b = 2.6 m, and c = 2.2 m. Determine the deflection of the rigid beam (a) at point A and (b) at point D. (a) VA = (b) vp = F i a L mm mm B (1) b L₂ C (2) X₂U D

In the figure, the horizontal rigid beam ABCD is supported by vertical bars (1) and (2) and is loaded at points A and D by vertical forces P = 28 kN and Q = 40 kN, respectively. Bar (1) is made of aluminum [E = 70 GPa] and has a cross-sectional area of 210 mm² and a length of L₁ = 7.3 m. Bar (2) is made of steel [E = 200 GPa] and has a cross-sectional area of 355 mm² and a length of L₂ = 5.2 m. Assume dimensions a = 3.6 m, b = 2.6 m, and c = 2.2 m. Determine the deflection of the rigid beam (a) at point A and (b) at point D. (a) VA = (b) vp = F i a L mm mm B (1) b L₂ C (2) X₂U D

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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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

In the figure, the horizontal rigid beam ABCD is supported by vertical bars (1) and (2) and is loaded at points A and D by vertical forces
P = 28 kN and Q = 40 kN, respectively. Bar (1) is made of aluminum [E = 70 GPa] and has a cross-sectional area of 210 mm² and a
length of L₁ = 7.3 m. Bar (2) is made of steel [E = 200 GPa] and has a cross-sectional area of 355 mm² and a length of L₂ = 5.2 m.
Assume dimensions a = 3.6 m, b = 2.6 m, and c = 2.2 m. Determine the deflection of the rigid beam (a) at point A and (b) at point D.
(a) VA =
(b) VD =
i
tel
L₁
mm
mm
B
(1)
b
L₂
3,V
C
(2)
X₂U
D

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can you help me answer this question using the figure provided? thank you.
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The beam shown in Figure Q.2 consists of a W610 x 140 structural steel wide-flange shape [E =200 GPa; /= 1120 × 106 mm²]. If w = 62 kN/m and P= 123 kN, determine: AV, V 1.5 m B W 3.5 m P 2.5 m D X
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