Calculating Force at Left Point of Support on Bridge

In summary, a 60 m long bridge with a mass of 51800 kg is supported at each end. A truck weighing 45000 kg is placed 26 m from the left end. The problem is to determine the force on the bridge at the left point of support. To solve this, you need to use the sum of forces and torques equaling zero. However, not enough forces are known, so looking at the torques is suggested. The key is to choose the right axis for calculating the torques.
  • #1
kitty9035
17
0

Homework Statement


A bridge of length 60 m and mass 51800 kg is supported at each end. A truck of mass 45000 kg is located 26 m from the left end.


Homework Equations


What is the force on the bridge at the left point of support?


The Attempt at a Solution



I know your supposed to use the sum of the forces equals zero. Then the sum of the torques equal zero, but i can't get the right answer!:eek:
 
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  • #2
the reason is because you are trying to set the sum of all forces equal to zero when you don't even know enough forces. Look at torques. Try my suggestion on the other problem.
 
  • #3
kitty9035 said:
I know your supposed to use the sum of the forces equals zero. Then the sum of the torques equal zero, but i can't get the right answer!:eek:
First identify all the forces acting on the bridge. Then show us exactly how you calculated the torques. (What point did you use as your pivot point?)
 
  • #4
Its all about the choice of axis. You have all you need if you choose the right point
 

1. How do you calculate the force at the left point of support on a bridge?

The force at the left point of support on a bridge can be calculated by using the formula F=mg, where F is the force, m is the mass of the object, and g is the acceleration due to gravity. This calculation assumes that the bridge is in equilibrium and there are no external forces acting on it.

2. What factors affect the force at the left point of support on a bridge?

The force at the left point of support on a bridge can be affected by various factors such as the weight of the objects placed on the bridge, the length and design of the bridge, and the material used to build the bridge. Additionally, external forces such as wind, earthquakes, and traffic can also impact the force at the left point of support.

3. How does the angle of the bridge affect the force at the left point of support?

The angle of the bridge can affect the force at the left point of support by changing the distribution of weight on the bridge. A steeper angle will result in a greater force at the left point of support, while a shallower angle will result in a smaller force. This is due to the change in the vertical and horizontal components of the weight of the objects on the bridge.

4. What is the significance of calculating the force at the left point of support on a bridge?

Calculating the force at the left point of support on a bridge is important for ensuring the safety and stability of the bridge. It allows engineers and scientists to understand the load capacity of the bridge and make necessary adjustments to ensure it can withstand the weight and external forces acting on it.

5. How can the force at the left point of support be measured or tested on a bridge?

The force at the left point of support on a bridge can be measured or tested using various methods such as strain gauges, load cells, or hydraulic jacks. These devices can be placed at specific points on the bridge to measure the force and provide valuable data for engineers and scientists to analyze and make necessary adjustments to the bridge's design or materials.

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