A cantilever of length 3L has section second moments of area I, I, and I, referred to horizontal and vertical axes through the centroid of its cross section. If the cantilever carries a vertically downward load Wat its free end and is pinned to a support which prevents both vertical and horizontal movement at a distance 2L from the built-in end, calculate the magnitude of the vertical reaction at the support. Show also that the horizontal reaction is zero. Ans. 7 W14.

A cantilever of length 3L has section second moments of area I, I, and I, referred to horizontal and vertical axes through the centroid of its cross section. If the cantilever carries a vertically downward load Wat its free end and is pinned to a support which prevents both vertical and horizontal movement at a distance 2L from the built-in end, calculate the magnitude of the vertical reaction at the support. Show also that the horizontal reaction is zero. Ans. 7 W14.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

A cantilever of length 3L has section second moments of area I, I, and I, referred to horizontal and
vertical axes through the centroid of its cross section. If the cantilever carries a vertically downward
load W at its free end and is pinned to a support which prevents both vertical and horizontal
movement at a distance 2L from the built-in end, calculate the magnitude of the vertical reaction at
the support. Show also that the horizontal reaction is zero.
Ans. 7 W14.

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