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The shear force diagram for a cantilever beam of span L as shown in figure, subjected to a concentrated load W at the free end and a uniformly distributed load of intensity w /m length is:
  • a)
    Rectangular with parallel sides of (W + w. L) at the two ends.
  • b)
    Trapezium with parallel sides of W at the free end and (W + 0.5 w. L2) at the fixed end
  • c)
    Right angled Triangle with zero value at the free end and (W + w. L) at the fixed end.
  • d)
    Trapezium with parallel sides of W at the free end and (W + w. L) at the fixed end 
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The shear force diagram for a cantilever beam of span L as shown in fi...
Given figure

Calculating vertical reaction at support A (VA)-

Shear force at A (FA) = Vertical reaction at A (VA)
Shear force at A (FA) = W + w × L
Shear force at B (FB) = VA - w × L
Shear force at B (FB) = W + w × L - w × L = W
Shear force at B (FB) = W

Shear force diagram of a given loaded beam is a trapezium with parallel sides of W at the free end and (W + w × L) at the fixed end.
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The shear force diagram for a cantilever beam of span L as shown in figure, subjected to a concentrated load W at the free end and a uniformly distributed load of intensity w /m length is:a)Rectangular with parallel sides of (W + w. L) at the two ends.b)Trapezium with parallel sides of W at the free end and (W + 0.5 w. L2) at the fixed endc)Right angled Triangle with zero value at the free end and (W + w. L) at the fixed end.d)Trapezium with parallel sides of W at the free end and (W + w. L) at the fixed endCorrect answer is option 'D'. Can you explain this answer?
Question Description
The shear force diagram for a cantilever beam of span L as shown in figure, subjected to a concentrated load W at the free end and a uniformly distributed load of intensity w /m length is:a)Rectangular with parallel sides of (W + w. L) at the two ends.b)Trapezium with parallel sides of W at the free end and (W + 0.5 w. L2) at the fixed endc)Right angled Triangle with zero value at the free end and (W + w. L) at the fixed end.d)Trapezium with parallel sides of W at the free end and (W + w. L) at the fixed endCorrect answer is option 'D'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The shear force diagram for a cantilever beam of span L as shown in figure, subjected to a concentrated load W at the free end and a uniformly distributed load of intensity w /m length is:a)Rectangular with parallel sides of (W + w. L) at the two ends.b)Trapezium with parallel sides of W at the free end and (W + 0.5 w. L2) at the fixed endc)Right angled Triangle with zero value at the free end and (W + w. L) at the fixed end.d)Trapezium with parallel sides of W at the free end and (W + w. L) at the fixed endCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The shear force diagram for a cantilever beam of span L as shown in figure, subjected to a concentrated load W at the free end and a uniformly distributed load of intensity w /m length is:a)Rectangular with parallel sides of (W + w. L) at the two ends.b)Trapezium with parallel sides of W at the free end and (W + 0.5 w. L2) at the fixed endc)Right angled Triangle with zero value at the free end and (W + w. L) at the fixed end.d)Trapezium with parallel sides of W at the free end and (W + w. L) at the fixed endCorrect answer is option 'D'. Can you explain this answer?.
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