The bending moment diagram for a continuous concrete slab is shown below as a function of theapplied load (w, in kN/m) and the span length (L = 2800 mm). The moment is negative at thesupport beams, and positive at the centre of each span. The location and amount of the reinforce-ment hence varies at Sections A and B.4a) Determine the magnitude of uniform applied load (w, in kN/m) required to crack the slab atSection A4b) Assuming that the slab is cracked but still linear, calculate the stress in the reinforcing steeland the maximum stress in the concrete at Section B under a uniform applied load of w=12 kN/m4e) Determine the maximum uniform load that the slab can support. Where does failure occur (i.e.,at Section A or Section B)? Verify any assumptionsMag-(1/11)wL²120kContinuous ConcreteSlab (see SectionsIM=pos= (1/16)wL²Meg=(1/11)wz²280015M @ 175175Section ASection AMpos= (1/16)wL²Bending Moment Diagram*0 0 O20Mneg = (1/11)wL²Section B2800120OMpos=(1/16)wL²Support Beams10M @ 22522528000Maeg = (1/11)wL²Section BT25Important Notes:• The steel and concrete strengths are 400 MPa and 35 MPa, respectively, with Young'smoduli of Ec=26000 MPa and E, = 200,000 MPa, respectively.The area of a 10M reinforcing bar is 100 mm².• The area of a 15M reinforcing bar is 200 mm². An engineer has decided to strengthen a timber post against buckling by adding one 1 mm thickx 350 mm wide strips of glass fibre reinforced polymer (GFRP) laminate to each side of the columnto create a stiffer, composite section. The modulus of elasticity of the timber is 9 GPa and themodulus of elasticity of the GFRP is 45 GPa.5a) Determine the buckling capacity of the unreinforced timber column. The post is 5 m tall andcan be considered to be pinned at the bottom and fixed at the top for buckling about bothprincipal axes.5b) Determine the percent increase in buckling capacity of the post by adding the GFRP.5c) If the timber has an allowable stress of 9 GPa, and the GFRP has an allowable stress of 1200GPa, will the post fail by buckling or yielding?241394Timber Post beforeStrengtheningGFRP laminate 1 mm thickx 350 mm wide on each sideTimber Post afterStrengtheningHint: Buckling of a composite section can be calculated by using the "transformed moment ofinertia" (IT) in the appropriate equation. Yielding can be checked by using a "transformed area".

Answered: Image /qna-images/answer/6e248ea3-4527-44cf-bc7e-ef9b81260ec0.jpg

ort beams, and positive at the centre of each span. The location and amount of the reinforce- thence varies at Sections A and B. Determine the magnitude of uniform applied load (w, in kN/m) required to crack the slab at on A Assuming that the slab is cracked but still linear, calculate the stress in the reinforcing steel he maximum stress in the concrete at Section B under a uniform applied load of w=12 kN/m Determine the maximum uniform load that the slab can support. Where does failure occur (i.e.,

ort beams, and positive at the centre of each span. The location and amount of the reinforce- thence varies at Sections A and B. Determine the magnitude of uniform applied load (w, in kN/m) required to crack the slab at on A Assuming that the slab is cracked but still linear, calculate the stress in the reinforcing steel he maximum stress in the concrete at Section B under a uniform applied load of w=12 kN/m Determine the maximum uniform load that the slab can support. Where does failure occur (i.e.,

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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