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Which of the following statements pertaining to slope of loaded beam is WRONG? The maximum slope
  • a)
    for a cantilever beam with a point load W at the free end is PL2/2 El.
  • b)
    for a cantilever beam carrying a total load P which is uniformly distributed over the entire span is PL2/6 El.
  • c)
    for a simply supported beam with an isolated load Pat mid span is PL2/ 16 EI.
  • d)
    for a simply supported beam carrying a total load P which is uniformly distributed over the entire span is PL2/48 EI
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which of the following statements pertaining to slope of loaded beam i...
The maximum slope for a simply supported beam carrying a total load Pwhich is distributed over the entire span is  PL2/24 EI
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Which of the following statements pertaining to slope of loaded beam i...
Understanding Beam Slope Calculations
When analyzing the slope of loaded beams, it's crucial to apply the correct formulas for different loading conditions. Here’s a breakdown of the options provided:
Option A: Cantilever Beam with Point Load
- The maximum slope for a cantilever beam with a point load W at the free end is given by the formula PL2/2EI.
- This statement is correct.
Option B: Cantilever Beam with Uniform Load
- The maximum slope for a cantilever beam carrying a total load P uniformly distributed over the entire span is PL2/6EI.
- This statement is also correct.
Option C: Simply Supported Beam with Point Load
- For a simply supported beam with an isolated load P at mid-span, the maximum slope is given by PL2/16EI.
- This statement is correct.
Option D: Simply Supported Beam with Uniform Load
- The maximum slope for a simply supported beam carrying a total load P uniformly distributed over the span is given as PL2/48EI.
- This statement is incorrect. The correct formula for the maximum slope for this condition is PL2/12EI.
Conclusion
- Option D is the wrong statement because it provides an incorrect formula for the maximum slope of a simply supported beam under uniform loading.
- Understanding these formulas is critical for accurate beam design and analysis in mechanical engineering applications.
By distinguishing between these various scenarios and their respective calculations, engineers can ensure the structural integrity and functionality of beam designs.
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Which of the following statements pertaining to slope of loaded beam is WRONG? The maximum slopea)for a cantilever beam with a point load W at the free end is PL2/2 El.b)for a cantilever beam carrying a total load P which is uniformly distributed over the entire span is PL2/6 El.c)for a simply supported beam with an isolated load Pat mid span is PL2/ 16 EI.d)for a simply supported beam carrying a total load P which is uniformly distributed over the entire span is PL2/48 EICorrect answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Which of the following statements pertaining to slope of loaded beam is WRONG? The maximum slopea)for a cantilever beam with a point load W at the free end is PL2/2 El.b)for a cantilever beam carrying a total load P which is uniformly distributed over the entire span is PL2/6 El.c)for a simply supported beam with an isolated load Pat mid span is PL2/ 16 EI.d)for a simply supported beam carrying a total load P which is uniformly distributed over the entire span is PL2/48 EICorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements pertaining to slope of loaded beam is WRONG? The maximum slopea)for a cantilever beam with a point load W at the free end is PL2/2 El.b)for a cantilever beam carrying a total load P which is uniformly distributed over the entire span is PL2/6 El.c)for a simply supported beam with an isolated load Pat mid span is PL2/ 16 EI.d)for a simply supported beam carrying a total load P which is uniformly distributed over the entire span is PL2/48 EICorrect answer is option 'D'. Can you explain this answer?.
Solutions for Which of the following statements pertaining to slope of loaded beam is WRONG? The maximum slopea)for a cantilever beam with a point load W at the free end is PL2/2 El.b)for a cantilever beam carrying a total load P which is uniformly distributed over the entire span is PL2/6 El.c)for a simply supported beam with an isolated load Pat mid span is PL2/ 16 EI.d)for a simply supported beam carrying a total load P which is uniformly distributed over the entire span is PL2/48 EICorrect answer is option 'D'. 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 Which of the following statements pertaining to slope of loaded beam is WRONG? The maximum slopea)for a cantilever beam with a point load W at the free end is PL2/2 El.b)for a cantilever beam carrying a total load P which is uniformly distributed over the entire span is PL2/6 El.c)for a simply supported beam with an isolated load Pat mid span is PL2/ 16 EI.d)for a simply supported beam carrying a total load P which is uniformly distributed over the entire span is PL2/48 EICorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Which of the following statements pertaining to slope of loaded beam is WRONG? The maximum slopea)for a cantilever beam with a point load W at the free end is PL2/2 El.b)for a cantilever beam carrying a total load P which is uniformly distributed over the entire span is PL2/6 El.c)for a simply supported beam with an isolated load Pat mid span is PL2/ 16 EI.d)for a simply supported beam carrying a total load P which is uniformly distributed over the entire span is PL2/48 EICorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Which of the following statements pertaining to slope of loaded beam is WRONG? The maximum slopea)for a cantilever beam with a point load W at the free end is PL2/2 El.b)for a cantilever beam carrying a total load P which is uniformly distributed over the entire span is PL2/6 El.c)for a simply supported beam with an isolated load Pat mid span is PL2/ 16 EI.d)for a simply supported beam carrying a total load P which is uniformly distributed over the entire span is PL2/48 EICorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Which of the following statements pertaining to slope of loaded beam is WRONG? The maximum slopea)for a cantilever beam with a point load W at the free end is PL2/2 El.b)for a cantilever beam carrying a total load P which is uniformly distributed over the entire span is PL2/6 El.c)for a simply supported beam with an isolated load Pat mid span is PL2/ 16 EI.d)for a simply supported beam carrying a total load P which is uniformly distributed over the entire span is PL2/48 EICorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Which of the following statements pertaining to slope of loaded beam is WRONG? The maximum slopea)for a cantilever beam with a point load W at the free end is PL2/2 El.b)for a cantilever beam carrying a total load P which is uniformly distributed over the entire span is PL2/6 El.c)for a simply supported beam with an isolated load Pat mid span is PL2/ 16 EI.d)for a simply supported beam carrying a total load P which is uniformly distributed over the entire span is PL2/48 EICorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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