Question

For the structure shown, determine the horizontal and vertical components of force that pin B" role="presentation" style="display: inline; line-height: normal; font-size: 14px; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(245, 245, 245); position: relative;">B$�$ exerts on the structure and that pin D" role="presentation" style="display: inline; line-height: normal; font-size: 14px; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(245, 245, 245); position: relative;">D$�$ exerts on the structure.Let the force and lengths be F=800lb" role="presentation" style="display: inline; line-height: normal; font-size: 14px; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(245, 245, 245); position: relative;">F=800lb$�=800��$, L1=2.5ft" role="presentation" style="display: inline; line-height: normal; font-size: 14px; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(245, 245, 245); position: relative;">L1=2.5ft${�}_1=2.5��$, L2=1.2ft" role="presentation" style="display: inline; line-height: normal; font-size: 14px; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(245, 245, 245); position: relative;">L2=1.2ft${�}_2=1.2��$, L3=2.5ft" role="presentation" style="display: inline; line-height: normal; font-size: 14px; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(245, 245, 245); position: relative;">L3=2.5ft${�}_3=2.5��$, L4=2.1ft" role="presentation" style="display: inline; line-height: normal; font-size: 14px; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(245, 245, 245); position: relative;">L4=2.1ft${�}_4=2.1��$ and L5=3.6ft" role="presentation" style="display: inline; line-height: normal; font-size: 14px; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(245, 245, 245); position: relative;">L5=3.6ft${�}_5=3.6��$.

Note that the orange ring at E is not a support. It is an element that forms part of the rigid body ECD. Only one force acts at point E, force F" role="presentation" style="display: inline; line-height: normal; font-size: 14px; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(245, 245, 245); position: relative;">F$�$.

1. The horizontal component of force at pin B" role="presentation" style="display: inline; line-height: normal; word-spacing: normal; overflow-wrap: normal; text-wrap: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">B$�$ (Bx" role="presentation" style="display: inline; line-height: normal; word-spacing: normal; overflow-wrap: normal; text-wrap: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">Bx${�}_{�}$) is  lb (Please enter a positive value).

2. The vertical component of force at pin B" role="presentation" style="display: inline; line-height: normal; word-spacing: normal; overflow-wrap: normal; text-wrap: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">B$�$ (By" role="presentation" style="display: inline; line-height: normal; word-spacing: normal; overflow-wrap: normal; text-wrap: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">By${�}_{�}$) is  lb (Please enter a positive value).

3. The horizontal component of force at pin D" role="presentation" style="display: inline; line-height: normal; word-spacing: normal; overflow-wrap: normal; text-wrap: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">D$�$ (Dx" role="presentation" style="display: inline; line-height: normal; word-spacing: normal; overflow-wrap: normal; text-wrap: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">Dx${�}_{�}$) is  lb (Please enter a positive value).

4. The vertical component of force at pin D" role="presentation" style="display: inline; line-height: normal; word-spacing: normal; overflow-wrap: normal; text-wrap: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">D$�$ (Dy" role="presentation" style="display: inline; line-height: normal; word-spacing: normal; overflow-wrap: normal; text-wrap: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">Dy${�}_{�}$) is  lb (Please enter a positive value).