Approximations for Large Deflection of a Cantilever Beam under a Terminal Follower Force and Nonlinear Pendulum

<table>Deflection curves beam axis under follower force <svg height="12.4375" id="M235" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 45.25 12.4375" width="45.25" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> for various angles of inclination <svg height="7.9499998" id="M236" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 9.7749996 7.9499998" width="9.7749996" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,7.675)"><path d="M545 106q-67 -118 -134 -118q-24 0 -40 37.5t-30 129.5h-2q-47 -72 -103 -119.5t-108 -47.5q-47 0 -76 45.5t-29 119.5q0 113 85 204t174 91q47 0 70 -33.5t43 -119.5h3q32 47 80 140l55 13l10 -9q-47 -80 -138 -201q17 -99 27.5 -136t22.5 -37q23 0 69 61zM333 204
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</svg>.</table>

Mathematical Problems in Engineering

fig5

Figure 5

Figure 5: Approximations for Large Deflection of a Cantilever Beam under a Terminal Follower Force and Nonlinear Pendulum 