4 | Moments
At the end of this section you should be able to:
Find moment about point in 2D using scalar method
Find moment about point in 3D using vector method
Properly create and expand cross product using determinate
Find moment about axis in 3D using vector method
Simplify pair of forces into couple in 2D and 3D
Moments in 2D
Moments in 2D
Hibbeler 12e F4.2: Finding moment about point due to single force. Force is broken into components to calculate contribution to moment.
Hibbeler 12e F4.2: Finding moment about point due to single force. Force is broken into components to calculate contribution to moment.
Hibbeler 12e 4.5: Finding unknown force given net moment about point is zero
Hibbeler 12e 4.5: Finding unknown force given net moment about point is zero
Hibbeler 12e 4.16: Finding unknown force given net moment about point is zero
Hibbeler 12e 4.16: Finding unknown force given net moment about point is zero
Hibbeler 12e 4.17: Finding net moment acting on rigid body due to two applied forces
Hibbeler 12e 4.17: Finding net moment acting on rigid body due to two applied forces
Moments in 3D
Moments in 3D
Hibbeler 13e F4.29 Finding moment about origin due to two 3D forces acting on rigid body
Hibbeler 13e F4.29 Finding moment about origin due to two 3D forces acting on rigid body
Finding moment about origin due to single 3D force acting on rigid body
Finding moment about origin due to single 3D force acting on rigid body
Hibbeler 12e 4.39: Finding moment about origin due to two forces located at same point
Hibbeler 12e 4.39: Finding moment about origin due to two forces located at same point
Hibbeler 12e 4.42: Finding moment about origin due to two forces at same point. Here, forces must first be written in component form before we can use cross product.
Hibbeler 12e 4.42: Finding moment about origin due to two forces at same point. Here, forces must first be written in component form before we can use cross product.
Moment about Axis
Moment about Axis
Hibbeler 13e 4.59: Finding required force to produce specified magnitude of moment about an axis
Hibbeler 13e 4.59: Finding required force to produce specified magnitude of moment about an axis
Hibbeler 12e F4.14: Finding moment about oblique axis due to single force
Hibbeler 12e F4.14: Finding moment about oblique axis due to single force
Hibbeler 12e 4.56: Finding moment about oblique axis due to single force
Hibbeler 12e 4.56: Finding moment about oblique axis due to single force
Couples and Applied Moments
Couples and Applied Moments
Hibbeler 12e F4.19: Find couple acting on 2D beam due to paired forces
Hibbeler 12e F4.19: Find couple acting on 2D beam due to paired forces
Hibbeler 12e 4.94: Find couple acting on 3D object due to paired forces
Hibbeler 12e 4.94: Find couple acting on 3D object due to paired forces
Hibbeler 12e 4.73: Find net couple acting on 3D object due to multiple 3D moments
Hibbeler 12e 4.73: Find net couple acting on 3D object due to multiple 3D moments
Equivalent Systems
Equivalent Systems
Hibbeler 12e F4.25: Finding one force and one couple at specified point to create equivalent system
Hibbeler 12e F4.25: Finding one force and one couple at specified point to create equivalent system
Hibbeler 12e F4.108: Finding one force and couple at specified point to create equivalent system
Hibbeler 12e F4.108: Finding one force and couple at specified point to create equivalent system
Hibbeler 12e F4.32: Finding one force along specified axis to create equivalent system
Hibbeler 12e F4.32: Finding one force along specified axis to create equivalent system
Mathematica Code
Mathematica Code