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A simply supported prismatic beam is loaded by a linearly increasing distributed load. The distributed load is at point A and equal to zero at the mid-span of the beam (Point B). The intensity of the of the load is 400kN/m and the length of the beam is 1.0m.

A simply supported prismatic beam is loaded by a linearly increasing distributed load. The distributed load is at point A and equal to zero at the mid-span of the beam (Point B). The intensity of the of the load is 400kN/m and the length of the beam is 1.0m.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A simply supported prismatic beam is loaded by a linearly increasing distributed load. The distributed load is at point A and equal to zero at the mid-span of the beam (Point B). The intensity of the of the load is 400kN/m and the length of the beam is 1.0m. A O 14/4- Point E -L/2- C 25mm Section c-c B L/2- 50mm 100mm (a) To analyse the beam, you must use Mohr's circle to determine the principal stresses and sketch the resultant state of stress at Point E. Make sure that you indicate the direction of the stresses (tensile or compressive) and the angle associated with the principal stress state. Ensure that you fully explain the process and equations that you have used to determine the magnitude of the stresses at Section c-c. The locations of the point E is indicated in the image above. (b) Do you expect that point E represents the critical locations on the beam? Le does this location have the highest stresses? Justify your answer. (c) If the allowable tensile stress is 250MPa, what is the maximum intensity, wo, that can be applied to the beam?
Transcribed Image Text:A simply supported prismatic beam is loaded by a linearly increasing distributed load. The distributed load is at point A and equal to zero at the mid-span of the beam (Point B). The intensity of the of the load is 400kN/m and the length of the beam is 1.0m. A O 14/4- Point E -L/2- C 25mm Section c-c B L/2- 50mm 100mm (a) To analyse the beam, you must use Mohr's circle to determine the principal stresses and sketch the resultant state of stress at Point E. Make sure that you indicate the direction of the stresses (tensile or compressive) and the angle associated with the principal stress state. Ensure that you fully explain the process and equations that you have used to determine the magnitude of the stresses at Section c-c. The locations of the point E is indicated in the image above. (b) Do you expect that point E represents the critical locations on the beam? Le does this location have the highest stresses? Justify your answer. (c) If the allowable tensile stress is 250MPa, what is the maximum intensity, wo, that can be applied to the beam?
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