Question

the beam-column is fixed to the floor and supports the load as shown in (figure 1). take f1 = 5.5 kn, f2 = 3 kn, and m = 0.9 kn⋅m. follow the sign convention.

Answer 1

To calculate the total torque of the system, determine the individual torque contributions from the weight of the beam and the additional mass at the end, and sum them together. Use the distance to the support point and the force due to gravity to find each torque value.

Step-by-step explanation:

The student is dealing with a problem related to static equilibrium and torque. To calculate the torque in this scenario, we can use the formula τ = r × F × sin(θ), where τ is the torque, r is the distance from the pivot point at the wall to the point of application of the force, F is the force, and θ is the angle between the force vector and the lever arm. Since the weight of the beam and the additional mass act downward and the beam is horizontal, the angle (θ) is 90 degrees, which makes sin(θ) = 1. The beam has its own weight plus an additional mass m at the end.

Answer 2

The torque of a system can be calculated by multiplying the force applied perpendicular to the lever arm and the length of the lever arm.

Step-by-step explanation:

The torque of a system can be calculated by multiplying the force applied perpendicular to the lever arm and the length of the lever arm. In this case, the torque about the support at the wall can be calculated by multiplying the force F1 by the perpendicular distance from the support to the line of action of force F1. The torque can be positive or negative depending on the direction of rotation.

To calculate the torque, we can use the equation:

Torque = force x lever arm

Since the beam-column is fixed to the floor, we can consider the support at the wall as the fulcrum. The torque exerted by force F1 can be calculated as:

T1 = F1 x d1

where F is the force applied and d1 is the perpendicular distance from the support to the line of action of force F1. Using the given values, we can substitute F1 = 5.5 kN and d1 = 0.9 m into the equation to calculate the torque.

T1 = (5.5 kN) x (0.9 m)

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