A 4.8 m-long from fixed point, 0.5 m wide and ssumed a thickness of 30 mm troughout a springboard made of high strengh S-2 glassfiber material which weighs 3.6-kN/m. If a diver impacts 30-kN at the free-end of the board when about to dive, calculate: i. the reaction at the fixed-end of the cantilever and bending moment diagram. ii. the maximum bending moment in the beam. if the material Young's Modulus of elasticity is 93.8 GPa find: iii the maximum slope of the beam. iv. the maximum deflection in the beam. v.  the maximum strength in the material

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
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A 4.8 m-long from fixed point, 0.5 m wide and ssumed a thickness of 30 mm troughout a springboard made of high strengh S-2 glassfiber material which weighs 3.6-kN/m. If a diver impacts 30-kN at the free-end of the board when about to dive, calculate:

i. the reaction at the fixed-end of the cantilever and bending moment diagram.

ii. the maximum bending moment in the beam.

if the material Young's Modulus of elasticity is 93.8 GPa find:

iii the maximum slope of the beam.

iv. the maximum deflection in the beam.

v.  the maximum strength in the material

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I think The sum of moments in A=0, so Moment in A=0, I assume the max slope is when x=L, so: y'= PLL/2EI

and your answer about Moment on A maybe wrong because is a cantilever with "fixed point" in your graphic is A.

sorry if I am wrong, thanks.

 

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