In ISMC 400 channels placed back to back at a spacing of 26 cm carry a...
Given information:
- 400 channels are placed back to back at a spacing of 26 cm.
- The axial load carried by the channels is 160 tonnes.
Objective:
- To design a lacing system that can resist a transverse shear.
Approach:
- Calculate the total axial load carried by the channels.
- Determine the maximum transverse shear that the lacing system should be able to resist.
- Select the lacing system that can resist the required transverse shear.
Calculations:
The total axial load carried by the channels can be calculated using the formula:
Total Load = Number of Channels * Load per Channel
Given:
Number of Channels = 400
Load per Channel = 160 tonnes
Total Load = 400 * 160 = 64,000 tonnes
Determination of maximum transverse shear:
The spacing between the channels is given as 26 cm. To determine the maximum transverse shear, we need to convert this spacing into meters.
Spacing in meters = 26 cm / 100 = 0.26 m
The maximum transverse shear can be calculated using the formula:
Transverse Shear = Total Load / Spacing
Transverse Shear = 64,000 tonnes / 0.26 m = 246,153.85 tonnes/m
Selection of lacing system:
We need to select a lacing system that can resist a transverse shear of 4 tonnes.
Based on the given options, the correct answer is option 'D' (4 tonnes).
Therefore, the lacing system should be designed to resist a transverse shear of 4 tonnes.