6.2 Derive the expression for the maximum deflection of a simply supported beam of negligible weight carrying a point load at its mid-span position. The distance between the supports is L, the second moment of area of the cross-section is I and the modulus of elasticity of the beam material is E. The maximum deflection of such a simply supported beam of length 3 m is 4.3 mm when carrying a load of 200 kN at its mid-span position. What would be the deflection at the free end of a cantilever of the same material, length and cross-section if it carries a load of 100 kN at a point 1.3 m from the free end? [13.4 mm]
6.2 Derive the expression for the maximum deflection of a simply supported beam of negligible weight carrying a point load at its mid-span position. The distance between the supports is L, the second moment of area of the cross-section is I and the modulus of elasticity of the beam material is E. The maximum deflection of such a simply supported beam of length 3 m is 4.3 mm when carrying a load of 200 kN at its mid-span position. What would be the deflection at the free end of a cantilever of the same material, length and cross-section if it carries a load of 100 kN at a point 1.3 m from the free end? [13.4 mm]
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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![6.2 Derive the expression for the maximum deflection of a simply supported beam of
negligible weight carrying a point load at its mid-span position. The distance between
the supports is L, the second moment of area of the cross-section is I and the modulus
of elasticity of the beam material is E.
The maximum deflection of such a simply supported beam of length 3 m is 4.3
mm when carrying a load of 200 kN at its mid-span position. What would be the
deflection at the free end of a cantilever of the same material, length and cross-section
if it carries a load of 100 kN at a point 1.3 m from the free end?
[13.4 mm]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3d5f0793-9c5a-467d-bda5-6d8b85db746a%2F7f36da52-3a1f-4ab3-b261-5f716d35096a%2Ffraf6he_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6.2 Derive the expression for the maximum deflection of a simply supported beam of
negligible weight carrying a point load at its mid-span position. The distance between
the supports is L, the second moment of area of the cross-section is I and the modulus
of elasticity of the beam material is E.
The maximum deflection of such a simply supported beam of length 3 m is 4.3
mm when carrying a load of 200 kN at its mid-span position. What would be the
deflection at the free end of a cantilever of the same material, length and cross-section
if it carries a load of 100 kN at a point 1.3 m from the free end?
[13.4 mm]
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Step 1: Derive the expression for the maximum deflection of simply supported beam and deflection at free end
VIEWStep 2: Derive the expression for the maximum deflection simply supported beam by integration method.
VIEWStep 3: Integrate and calculate the value of constant of integration.
VIEWStep 4: Calculate value of EI and deflection at free end of cantilever beam.
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