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

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter6: Stresses In Beams (advanced Topics)
Section: Chapter Questions
Problem 6.10.18P: A singly symmetric beam with a T-section (see figure) has cross-sectional dimensions b = 140 mm, a =...
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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
Transcribed Image Text: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 -
Transcribed Image Text: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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