- #1

DaGude

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- TL;DR Summary
- I'm trying to calculate the horizontal and vertical force that a tarp with downward pressure applies to the two walls it is attached to

Hi.

I have a problem I'm trying to solve.

I have a tarp that is stretched horizontally across two walls. The walls are 5.5m apart and 50m long.

There is a pressure of 10mBar above the tarp pushing it down, making it sag about 0.15m in the center.

I'm trying to calculate the force with which the tarp pulls the walls inward.

(and also the force at which the tarp pulls the walls down. So both the vertical and horizontal components of the force on the walls).

I thought the tarp would behave the same as a cable with a uniform downward force applied to it.

Similar to the cables on suspension bridges. I'm not sure if I can use the same formulas to calculate this though.

the formula I found for the cable is (w*L^2)/(8h) where L is the distance between the anker points. h is the amount the cable sags in the center and w is the force per meter on the cable.

(This assumes the force is acting vertically to the ground which in my example isn't the case since the pressure acts vertically on the tarp which is curved but the curve is minimal so I would assume the error to be negligible)

I also thought about calculating the angle at which the tarp meets the walls (assuming a parabolic arc for the tarp) and applying the force of the pressure to the walls at that angle as if the force was acting only in the center of the tarp

Would either of these methods work for what I'm trying to do or is there something I'm missing?

Thank you for any help in advance

I have a problem I'm trying to solve.

I have a tarp that is stretched horizontally across two walls. The walls are 5.5m apart and 50m long.

There is a pressure of 10mBar above the tarp pushing it down, making it sag about 0.15m in the center.

I'm trying to calculate the force with which the tarp pulls the walls inward.

(and also the force at which the tarp pulls the walls down. So both the vertical and horizontal components of the force on the walls).

I thought the tarp would behave the same as a cable with a uniform downward force applied to it.

Similar to the cables on suspension bridges. I'm not sure if I can use the same formulas to calculate this though.

the formula I found for the cable is (w*L^2)/(8h) where L is the distance between the anker points. h is the amount the cable sags in the center and w is the force per meter on the cable.

(This assumes the force is acting vertically to the ground which in my example isn't the case since the pressure acts vertically on the tarp which is curved but the curve is minimal so I would assume the error to be negligible)

I also thought about calculating the angle at which the tarp meets the walls (assuming a parabolic arc for the tarp) and applying the force of the pressure to the walls at that angle as if the force was acting only in the center of the tarp

Would either of these methods work for what I'm trying to do or is there something I'm missing?

Thank you for any help in advance