Three identical square bars, each having length L, are joined at their centers as shown in the diagram. The arms of the bars are lined up exactly with the x,y,z axes. The whole object has a pivot at the center. Six different forces are exerted on the object. Each force has the same magnitude, F. 1. Fi points in the +x direction. Write the torque equation for F1. Express your answer in terms of F and L. Be sure your answer includes the direction for the torque. 2. F2 points in the +z direction. Write the torque equation for F2. Express your answer in terms of F and L. Be sure your answer includes the direction for the torque. 3. F3 points in the +y direction. Write the torque equation for F3. Express your answer in terms of F and L. Be sure your answer includes the direction for the torque.

Three identical square bars, each having length L, are joined at their centers as shown in the diagram. The arms of the bars are lined up exactly with the x,y,z axes. The whole object has a pivot at the center. Six different forces are exerted on the object. Each force has the same magnitude, F. 1. Fi points in the +x direction. Write the torque equation for F1. Express your answer in terms of F and L. Be sure your answer includes the direction for the torque. 2. F2 points in the +z direction. Write the torque equation for F2. Express your answer in terms of F and L. Be sure your answer includes the direction for the torque. 3. F3 points in the +y direction. Write the torque equation for F3. Express your answer in terms of F and L. Be sure your answer includes the direction for the torque.

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

Laws of Equilibrium

A body is said to be in equilibrium if the system of forces acting on the body tends to keep the body at rest, in other words, there is no translation motion or net torque on the body. Under such conditions, the equilibrium conditions are to be applied to analyze the condition. The branch of mechanics that deals with this condition is known as 'statics'. Under equilibrium, there are no net forces on the body.

Question

100%

Three identical square bars, each having
length L, are joined at their centers as
shown in the diagram. The arms of the
bars are lined up exactly with the x,y,z
axes. The whole object has a pivot at the
center.
F3
Six different forces are exerted on the
object. Each force has the same
magnitude, F.
Fo
1. F1 points in the +x direction. Write
the torque equation for F1. Express
your answer in terms of F and L. Be
sure your answer includes the
direction for the torque.
F1
Fs
2. F2 points in the +z direction. Write the torque equation for F2. Express your answer in terms
of F and L. Be sure your answer includes the direction for the torque.
3. F3 points in the +y direction. Write the torque equation for F3. Express your answer in terms
of F and L. Be sure your answer includes the direction for the torque.
4. Fa points in the +x direction. Write the torque equation for F4. Express your answer in terms
of F and L. Be sure your answer includes the direction for the torque.

5. Fs points in the +z direction. Write the torque equation for F5. Express your answer in terms
of F and L. Be sure your answer includes the direction for the torque.
F6 points in the -y direction. Write the torque equation for F6. Express your answer in terms
of F and L. Be sure your answer includes the direction for the torque.
6.
7. If the object starts at rest and all six forces are exerted at the same time, what direction
would the angular velocity point?

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