Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN: 9781305084766
Author: Saeed Moaveni
Publisher: Cengage Learning
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Chapter 18, Problem 2P
To determine

Find the stiffness coefficient for each spring, the exponent for the hard spring.

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8 A cantilever beam carries a point load P as shown in the following figure.  The deflection, δ, along the beam is governed by the following equation:                                                     where        x is the distance from the support A;                                L is the total length of the beam;                                P is the point load acting at the free end;                                E is the Young’s modulus of the beam, and                                  I is the moment of inertia of the section of beam.                         (Hint: L, P, E and I are constant parameters and )   Prove that:   (a)       the maximum slope is at the free end of the beam,                                      that is at x = L; and (b)       the maximum slope is .   A L
A 4-meter cantilever beam supports a uniformly distributed load of w=25 kN/m at half of its span; located at 2 m. The beam is I-shaped, in cross-section and has the dimensions as shown in the attached image. Here, EI is constant for the beam. Please help me in determining the following; (a) What will the deflected shape of the beam look like due to loading? (b) What is the equation of the elastic curve for the cantilever beam? (c) What is the deflection at point B? Thank you in advance for your help :)
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Chapter 18 Solutions

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

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