1m RM 600 kN/m 3m PILES RT 1m Slab A Slab B shear connector B 200 mm A 600 mm 400 mm 200 mm The grade beam is constructed by two concrete slabs A and B linked together by steel shear connectors with negligible thickness. 1. Locate the neutral axis from the bottom of the cross-section of the beam. 2. Calculate the moment of inertia of the cross-section about the neutral axis. 3. Determine the magnitude of the maximum shear, maximum positive bending moment, and maximum negative bending moment. 4. Determine the maximum compressive fiber stress and maximum tensile fiber stress in the beam and its location (in the cross-section and along the beam). 5. Calculate the required strength of the shear connectors if a factor of safety of 1.55 is required.
1m RM 600 kN/m 3m PILES RT 1m Slab A Slab B shear connector B 200 mm A 600 mm 400 mm 200 mm The grade beam is constructed by two concrete slabs A and B linked together by steel shear connectors with negligible thickness. 1. Locate the neutral axis from the bottom of the cross-section of the beam. 2. Calculate the moment of inertia of the cross-section about the neutral axis. 3. Determine the magnitude of the maximum shear, maximum positive bending moment, and maximum negative bending moment. 4. Determine the maximum compressive fiber stress and maximum tensile fiber stress in the beam and its location (in the cross-section and along the beam). 5. Calculate the required strength of the shear connectors if a factor of safety of 1.55 is required.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:1m
RM
600 kN/m
3m
PILES
RT
1m
Slab A
Slab B
shear
connector
B
200 mm
A
600 mm
400 mm
200 mm
The grade beam is constructed by two concrete slabs A and B linked together by steel shear
connectors with negligible thickness.
1. Locate the neutral axis from the bottom of the cross-section of the beam.
2. Calculate the moment of inertia of the cross-section about the neutral axis.
3. Determine the magnitude of the maximum shear, maximum positive bending moment, and
maximum negative bending moment.
4. Determine the maximum compressive fiber stress and maximum tensile fiber stress in the beam
and its location (in the cross-section and along the beam).
5.
Calculate the required strength of the shear connectors if a factor of safety of 1.55 is required.
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Step 1: Given
VIEWStep 2: Calculation of location of neutral axis and moment of inertia about the neutral axis
VIEWStep 3: Calculation of reaction force , shear force equation and moment equation
VIEWStep 4: Calculation of maximum, shear force , maximum positive and maximum negative bending moment
VIEWStep 5: Calculation of maximum compressive and tensile stress
VIEWStep 6: Calculation of strength of shear connector when factor of safety is 1.55
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