The simply supported beam AB as shown in Figure Q3(a) has a uniform load of intensity, w - 15 kN/m acts throughout the entire length of the beam. The cross-section of the beam is shown in Figure Q3(b) and given the second moment of area is I = 107.5 x 10° mm". i. Determine the maximum shear stress at point M and N based on the maximum shear force. ii. Calculate the absolute maximum shear stress of the beam. ii. Sketch the shear stress distribution over the cross section and label the shear stress values. 2.4 m w = 15 kN/m B Figure Q3 (a) 110 mm 40 mm M 140 mm NA y=90 mm 40 mm 170 mm 40 mm

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter4: Shear Forces And Bending Moments
Section: Chapter Questions
Problem 4.5.27P: The simple beam ACE shown in the figure is subjected to a triangular load of maximum intensity q0=...
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The simply supported beam AB as shown in Figure Q3(a) has a uniform load of intensity, w
- 15 kN/m acts throughout the entire length of the beam. The cross-section of the beam is
shown in Figure Q3(b) and given the second moment of area is I = 107.5 x 10° mm“.
i. Determine the maximum shear stress at point M and N based on the maximum shear
force.
ii. Calculate the absolute maximum shear stress of the beam.
iii. Sketch the shear stress distribution over the cross section and label the shear stress values.
2.4 m
w = 15 kN/m
Figure Q3 (a)
110 mm
40 mm
M
140 mm
NA
y = 90 mm
40 mm
170 mm
40 mm
Transcribed Image Text:The simply supported beam AB as shown in Figure Q3(a) has a uniform load of intensity, w - 15 kN/m acts throughout the entire length of the beam. The cross-section of the beam is shown in Figure Q3(b) and given the second moment of area is I = 107.5 x 10° mm“. i. Determine the maximum shear stress at point M and N based on the maximum shear force. ii. Calculate the absolute maximum shear stress of the beam. iii. Sketch the shear stress distribution over the cross section and label the shear stress values. 2.4 m w = 15 kN/m Figure Q3 (a) 110 mm 40 mm M 140 mm NA y = 90 mm 40 mm 170 mm 40 mm
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