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.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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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Step 1: Given
VIEWStep 2: Support reactions
VIEWStep 3: Bending moment and Shear force at section c-c
VIEWStep 4: Bending stress and shear stress at point E
VIEWStep 5: Principal stress
VIEWStep 6: Does point E represent the critical section?
VIEWStep 7: Determination of maximum moment
VIEWStep 8: Permissible value of UVL
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