a rectangular bagre 8 metrs wide 5 meters depth and 12 m.longis to be used to transport round steel bars 20 mm.if the barge is 20000kg and sp.gravity of steel bars 7.85.how many pieces of round bars can be transported if the barge is to maintain a draft of 3 meters?
To find out how many pieces of round bars can be transported, we first need to calculate the volume of the barge and then divide it by the volume of a single round bar.
Step 1: Calculate the volume of the barge.
The volume of a rectangular barge can be calculated by multiplying its length, width, and depth.
Volume of the barge = length x width x depth
Volume of the barge = 12 m x 8 m x 5 m
Volume of the barge = 480 cubic meters
Step 2: Calculate the volume of a single round bar.
The volume of a cylinder (round bar) can be calculated by using the formula:
Volume of a cylinder = π * (radius squared) * height
Given that the diameter of the round bar is 20 mm, the radius would be half of the diameter (10 mm = 0.01 m).
Height = depth of the barge = 5 m
Volume of a single round bar = π * (0.01 m)^2 * 5 m
Volume of a single round bar = 0.000785 cubic meters
Step 3: Calculate the maximum number of round bars that can be transported.
Maximum number of round bars = (Volume of the barge) / (Volume of a single round bar)
Maximum number of round bars = 480 cubic meters / 0.000785 cubic meters
Maximum number of round bars = 611464.98
So, the barge can transport a maximum of 611464 round bars (approximately).
Please note that this is a theoretical calculation assuming that the round bars can be stacked perfectly without any gaps or spaces in the barge. In practical scenarios, there might be limitations on how the round bars can be stacked, which could affect the actual number of round bars that can be transported.