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The Muller-Breslau principle can be used to
1. Determine the shape of the influence line
2. Indicate the parts of the structure to be loaded to obtain the maximum effect
3. Calculate the ordinates of the influence lines
1. Determine the shape of the influence line
2. Indicate the parts of the structure to be loaded to obtain the maximum effect
3. Calculate the ordinates of the influence lines
Which of the these statements is/are correct?
- a)only 1
- b)both 1 and 2
- c)both 2 and 3
- d)1, 2 and 3
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The Muller-Breslau principle can be used to1. Determine the shape of t...
The Muller-Breslau principle is a method used for calculating influence lines for determining the effects of moving loads on a structure. It is based on the principle that the displacement of a structure due to a unit load at any point is proportional to the area of the influence line.
The principle can be used to:
1. Determine the shape of the influence line: The shape of the influence line can be determined by considering the structure as a continuous beam and calculating the deflection at any point due to a unit load moving along the beam. The influence line is then plotted by taking the ratio of the deflection to the length of the beam.
2. Indicate the parts of the structure to be loaded to obtain the maximum effect: The Muller-Breslau principle can also be used to determine the position of the load on the structure that will produce the maximum effect. This is done by finding the point along the influence line where the product of the load and the area under the influence line is maximum.
3. Calculate the ordinates of the influence lines: The Muller-Breslau principle can also be used to calculate the ordinates of the influence lines at any point along the beam. This is done by dividing the area under the influence line up to that point by the length of the beam.
Therefore, all three statements are correct and the correct answer is option 'D'.
The principle can be used to:
1. Determine the shape of the influence line: The shape of the influence line can be determined by considering the structure as a continuous beam and calculating the deflection at any point due to a unit load moving along the beam. The influence line is then plotted by taking the ratio of the deflection to the length of the beam.
2. Indicate the parts of the structure to be loaded to obtain the maximum effect: The Muller-Breslau principle can also be used to determine the position of the load on the structure that will produce the maximum effect. This is done by finding the point along the influence line where the product of the load and the area under the influence line is maximum.
3. Calculate the ordinates of the influence lines: The Muller-Breslau principle can also be used to calculate the ordinates of the influence lines at any point along the beam. This is done by dividing the area under the influence line up to that point by the length of the beam.
Therefore, all three statements are correct and the correct answer is option 'D'.
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