3- The cantilever beam shown below carries a distributed load of maximum intensity w= 20 kN/m, length L= 6m, E=200 GPa, and I = 90 x106 mm4. Use the below relationships to determine the maximum moment M, the slope at the left and right ends, maximum deflection, and the deflection at a distance of 3.5 m from the right end. w. 8 R, R2 • Maximum Moment: M-w,L2/93 • Slope at end, o OL= 7wL3/360EI o BR= 8wL3/360EI • Maximum deflection: 0=2.5wL4/384EI • Deflection equation (y is positive downward): Ely=wx(7L -10LX +3x )/360L 4 2 2 4

Elements Of Electromagnetics
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3- The cantilever beam shown below carries a distributed load
of maximum intensity w= 20 kN/m, length L= 6m, E=200 GPa,
and I = 90 x106 mm4. Use the below relationships to
determine the maximum moment M, the slope at the left and
right ends, maximum deflection, and the deflection at a
distance of 3.5 m from the right end.
w.
8
R,
R2
• Maximum Moment: M-w,L2/93
• Slope at end,
o BL= 7wL3/360EI
o BR= 8wL3/360EI
• Maximum deflection: 3=2.5wL4/384EI
• Deflection equation (y is positive downward):
Ely=wx(7L -10LX +3x )/360L
4
2 2
4
Transcribed Image Text:3- The cantilever beam shown below carries a distributed load of maximum intensity w= 20 kN/m, length L= 6m, E=200 GPa, and I = 90 x106 mm4. Use the below relationships to determine the maximum moment M, the slope at the left and right ends, maximum deflection, and the deflection at a distance of 3.5 m from the right end. w. 8 R, R2 • Maximum Moment: M-w,L2/93 • Slope at end, o BL= 7wL3/360EI o BR= 8wL3/360EI • Maximum deflection: 3=2.5wL4/384EI • Deflection equation (y is positive downward): Ely=wx(7L -10LX +3x )/360L 4 2 2 4
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