Mechanical Engineering Exam  >  Mechanical Engineering Questions  >  In triangle distributed loading, the loading ... Start Learning for Free
In triangle distributed loading, the loading at any distance can be easily found by using which of the following trigonometry function?
  • a)
    Tangent
  • b)
    Sine
  • c)
    Cosine
  • d)
    Sine inverse
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In triangle distributed loading, the loading at any distance can be ea...
In triangle distributed loading, the loading at any distance can be easily found by using Tangent trigonometry function. That is because the linear distance only determines the vertical loading. That is the loading is uniform along the linear distance. Is the linear distance is more the loading is more.
View all questions of this test
Most Upvoted Answer
In triangle distributed loading, the loading at any distance can be ea...
Triangle Distributed Loading and Trigonometry Functions

Triangle distributed loading is a type of loading where the applied load varies linearly along the length of a structure, forming a triangular shape. This type of loading is commonly encountered in various engineering applications, such as beams, bridges, and cranes.

To determine the loading at any distance along the structure, trigonometry functions are used. Among the given options (a) Tangent, (b) Sine, (c) Cosine, and (d) Sine inverse, the correct trigonometry function to use is the tangent function.

Tangent Function
The tangent function, denoted as tan(x), relates the ratio of the length of the side opposite an angle to the length of the side adjacent to the angle in a right triangle. In the context of triangle distributed loading, the tangent function can be used to determine the loading at any distance along the structure.

Explanation
When a triangle distributed loading is applied to a structure, the load intensity varies linearly with distance. This means that the loading can be represented by a linear equation, such as y = mx + c, where y is the loading, x is the distance from a reference point, m is the slope of the loading, and c is the intercept with the y-axis.

The slope of the loading represents the rate at which the loading increases or decreases with distance. In the case of a triangle distributed loading, the slope is constant and corresponds to the rate of change of loading per unit distance.

To determine the loading at any distance x, the tangent function can be used to calculate the slope of the loading. The slope of the loading can be expressed as the ratio of the change in loading (Δy) to the change in distance (Δx) between two points on the loading curve.

The tangent function can be defined as tan(θ) = Δy/Δx, where θ is the angle of inclination of the loading curve.

By rearranging the equation, the change in loading (Δy) can be expressed as Δy = tan(θ) * Δx.

Therefore, the loading at any distance x can be found by multiplying the slope of the loading (tan(θ)) by the distance from the reference point (x), which gives the equation y = tan(θ) * x. This equation allows for the determination of the loading at any distance along the structure.

Conclusion
In triangle distributed loading, the loading at any distance can be easily found by using the tangent function. The tangent function relates the slope of the loading to the distance from a reference point. By multiplying the slope (tan(θ)) by the distance (x), the loading at any point can be determined.
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
Explore Courses for Mechanical Engineering exam

Top Courses for Mechanical Engineering

In triangle distributed loading, the loading at any distance can be easily found by using which of the following trigonometry function?a)Tangentb)Sinec)Cosined)Sine inverseCorrect answer is option 'A'. Can you explain this answer?
Question Description
In triangle distributed loading, the loading at any distance can be easily found by using which of the following trigonometry function?a)Tangentb)Sinec)Cosined)Sine inverseCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about In triangle distributed loading, the loading at any distance can be easily found by using which of the following trigonometry function?a)Tangentb)Sinec)Cosined)Sine inverseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In triangle distributed loading, the loading at any distance can be easily found by using which of the following trigonometry function?a)Tangentb)Sinec)Cosined)Sine inverseCorrect answer is option 'A'. Can you explain this answer?.
Solutions for In triangle distributed loading, the loading at any distance can be easily found by using which of the following trigonometry function?a)Tangentb)Sinec)Cosined)Sine inverseCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering. Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of In triangle distributed loading, the loading at any distance can be easily found by using which of the following trigonometry function?a)Tangentb)Sinec)Cosined)Sine inverseCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of In triangle distributed loading, the loading at any distance can be easily found by using which of the following trigonometry function?a)Tangentb)Sinec)Cosined)Sine inverseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for In triangle distributed loading, the loading at any distance can be easily found by using which of the following trigonometry function?a)Tangentb)Sinec)Cosined)Sine inverseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of In triangle distributed loading, the loading at any distance can be easily found by using which of the following trigonometry function?a)Tangentb)Sinec)Cosined)Sine inverseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice In triangle distributed loading, the loading at any distance can be easily found by using which of the following trigonometry function?a)Tangentb)Sinec)Cosined)Sine inverseCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
Explore Courses for Mechanical Engineering exam

Top Courses for Mechanical Engineering

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev