The alimak construction elevator starts from rest at the first floor of the building. It can accelerate at 5 ft/s2 and then decelerate at 2 ft/s2. Determine the shortest time it takes to reach a floor 40 feet above the ground. The elevator starts from rest and then stops. Draw the a-t, v-t, and s-t graphs for the motion. Also, determine the maximum velocity.

The alimak construction elevator starts from rest at the first floor of the building. It can accelerate at 5 ft/s2 and then decelerate at 2 ft/s2. Determine the shortest time it takes to reach a floor 40 feet above the ground. The elevator starts from rest and then stops. Draw the a-t, v-t, and s-t graphs for the motion. Also, determine the maximum velocity.

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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Concept explainers

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

The alimak construction elevator starts from rest at the
first floor of the building. It can accelerate at 5 ft/s2 and
then decelerate at 2 ft/s2. Determine the shortest time it
takes to reach a floor 40 feet above the ground. The
elevator starts from rest and then stops. Draw the a-t, v-t,
and s-t graphs for the motion. Also, determine the
maximum velocity.

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