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In ISMC 400 channels placed back to back at a spacing of 26 cm carry an axial load of 160 tonnes. The lacing system should be designed to resist a transverse shear of
  • a)
    16 tonnes
  • b)
    12 tonnes
  • c)
    8 tonnes
  • d)
    4 tonnes
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In ISMC 400 channels placed back to back at a spacing of 26 cm carry a...
The lacing system is designed for a load which is 2.5% of the axial load i.e.,
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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.
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