Final answer:
To determine the maximum positive and negative moments developed during the lifting procedure of a pile using a crane, you can calculate the force and lever arm distance. By multiplying the weight of the pile per linear meter by the lever arm distance, you can find the maximum moments. To minimize the maximum moment in the pile, you can set up an equation and solve for the value of 'x' that results in the minimum moment.
Step-by-step explanation:
To determine the maximum positive moment developed in the pile during the lifting procedure, we need to calculate the maximum force exerted by the crane and the lever arm distance from the point on the pile to the nearest end of the pile. The maximum moment is given by the equation M = F * x, where F is the force and x is the distance. If x = 3 m, we can find the maximum positive moment by multiplying the weight of the pile per linear meter by the lever arm distance.
To determine the maximum negative moment developed in the pile, we need to consider the opposite direction of the force and calculate the negative moment. The negative moment is equal to the positive moment but with opposite sign.
To find the value of 'x' that minimizes the maximum moment in the pile, we need to set up an equation and solve for 'x'. This can be done by taking the derivative of the moment equation with respect to 'x' and setting it equal to zero. The resulting value of 'x' will give us the minimum moment in the pile.