A steel cantilever beam, of length 2L, has an l-section, see Figure Q3. The cantilever beam is under a uniformly distributed load q = 290 kN/m applied in its vertical plane of symmetry at OA part of the span. The yield strength of the steel is [a] = 400 MPa; the Young's modulus E = 217 GPa. L=1m and the coordinates of Point H are x= 0 mm, y = -75 mm, z= 0 mm. y L q A 4 L B X 20mm YA 10mm H 20mm -220mm b 180mm

A steel cantilever beam, of length 2L, has an l-section, see Figure Q3. The cantilever beam is under a uniformly distributed load q = 290 kN/m applied in its vertical plane of symmetry at OA part of the span. The yield strength of the steel is [a] = 400 MPa; the Young's modulus E = 217 GPa. L=1m and the coordinates of Point H are x= 0 mm, y = -75 mm, z= 0 mm. y L q A 4 L B X 20mm YA 10mm H 20mm -220mm b 180mm

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

A steel cantilever beam, of length 2L, has an l-section, see Figure Q3. The cantilever beam is
under a uniformly distributed load q = 290 kN/m applied in its vertical plane of symmetry at OA
part of the span. The yield strength of the steel is [o] = 400 MPa; the Young's modulus E =
217 GPa. L= 1 m and the coordinates of Point H are x= 0 mm, y = -75 mm, z= 0 mm.
y
q
A
B
X
20mm
10mm H
20mmi
-220mm
b
180mm

d)
By use of the virtual work method, determine the rotation and deflection at the end B.
mm (Downward deflection is negative)
x 10-³ radians (Positive rotation is in the anticlockwise direction)
Deflection -
Rotation -

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