A simply supported beam AB supports a trapezoidally distributed load (see figure). *Inserted Photo* Horizontal beam A B is 4 m long and rests on a pin support at its left end, A, and a roller support at its right end, B. A trapezoidally distributed load acts downward along the entire beam. The load intensity is 68 kN/m at A and linearly decreases to an intensity of 34 kN/m at B. The intensity of the load varies linearly from 68 kN/m at support A to 34 kN/m at support B. Calculate the shear force V (in kN) and bending moment M (in kN · m) at the midpoint of the beam. (Use the deformation sign convention.) V= kNM= kN · m
A simply supported beam AB supports a trapezoidally distributed load (see figure). *Inserted Photo* Horizontal beam A B is 4 m long and rests on a pin support at its left end, A, and a roller support at its right end, B. A trapezoidally distributed load acts downward along the entire beam. The load intensity is 68 kN/m at A and linearly decreases to an intensity of 34 kN/m at B. The intensity of the load varies linearly from 68 kN/m at support A to 34 kN/m at support B. Calculate the shear force V (in kN) and bending moment M (in kN · m) at the midpoint of the beam. (Use the deformation sign convention.) V= kNM= kN · m
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A simply supported beam AB supports a trapezoidally distributed load (see figure).
*Inserted Photo*
Horizontal beam A B is 4 m long and rests on a pin support at its left end, A, and a roller support at its right end, B. A trapezoidally distributed load acts downward along the entire beam.
The load intensity is 68 kN/m at A and linearly decreases to an intensity of 34 kN/m at B.
The intensity of the load varies linearly from 68 kN/m at support A to 34 kN/m at support B.
Calculate the shear force V (in kN) and bending moment M (in kN · m) at the midpoint of the beam. (Use the deformation sign convention.)
V= kNM= kN · m
Transcribed Image Text:V =
kN
%3!
M =
kN: m
Transcribed Image Text:68 kN/m
34 kN/m
Α
Β
4 m
i)
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