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

See similar textbooks

Related questions

Q: A steel bar 0.75 in. in diameter has an axial load P = 13,000 Ibs. 0.75 in. P 30° -

A: Load on bar, P =13000lbDiameter of cross section, D=0.75inAngle of linclined plane with vertical…

Q: A 1.8 m high square concrete column with b = 220 mm (Ec ac = 9.9 × 10-6/° C) is reinforced with six…

Q: (d) Check the minimum steel requirements A, criteria 1 = min in? A min criteria 2 = in? in?…

Q: The following geomotry and basic clata for a concrete The dam s are given In reservoir figure below.…

A: Consider unit length of the dam.

Q: 1. A steel section of length L sits on an 8" x 8" bearing plate. The bearing plate is perfectly…

A: To determine,A. Determine the normal stress in the steel. B. Determine the normal stress in the…

Q: SHOW ALL SOLUTIONS a. Height of Compression Block in mm b. Area of the effective concrete for…

A: "Since you have posted a question with sub-parts. We will solve the first three sub-parts for you.…

Q: A reinforced concrete beam is subjected to w=70 kN/m load as shown below. Knowing the modulus of…

A: Using area equivalent method Modular ratio (m) = Es / Ec m = 200/25 = 8 Above question is…

Q: reinforced beam will be provided with the reinforcing bars corresponding to 90% of the maximum…

A: (a) Estimation of steel areaThe steel area can be estimated using the following formula:Ast =…

Q: Problem 4: Find the design moment strength for the following section: f'c = 7000 psi Es = 29,000 ksi…

A: Stress strain curve reinforcing steel,

Q: (e) Compute the flexural stresses. Compressive stress of concrete at the top of the beam and tensile…

Q: 1-51. During a tension test, the wooden specimen is subjected to an average normal stress of 2 ksi.…

Q: Assume the section has cracked and use the transformed-area method to compute the required…

Concept explainers

Composite Construction

Composite construction is the construction of structures in which two or more materials are used. Regarding structural engineering, composite construction is a construction where two materials are bound together in a technical manner such that both the materials act as a single unit to carry and transfer the load. The motives of composite construction are to increase the structural strength, make structures more aesthetic, and provide a sustainable environment.

Question

The bending moment diagram for a continuous concrete slab is shown below as a function of the
applied load (w, in kN/m) and the span length (L = 2800 mm). The moment is negative at the
support 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 at
Section A
4b) Assuming that the slab is cracked but still linear, calculate the stress in the reinforcing steel
and the maximum stress in the concrete at Section B under a uniform applied load of w=12 kN/m
4e) Determine the maximum uniform load that the slab can support. Where does failure occur (i.e.,
at Section A or Section B)? Verify any assumptions
Mag-(1/11)wL²
120
k
Continuous Concrete
Slab (see Sections
I
M=
pos= (1/16)wL²
Meg=(1/11)wz²
2800
15M @ 175
175
Section A
Section A
Mpos= (1/16)wL²
Bending Moment Diagram
*
0 0 O
20
Mneg = (1/11)wL²
Section B
2800
120
O
Mpos=(1/16)wL²
Support Beams
10M @ 225
225
2800
0
Maeg = (1/11)wL²
Section B
T
25
Important Notes:
• The steel and concrete strengths are 400 MPa and 35 MPa, respectively, with Young's
moduli 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 thick
x 350 mm wide strips of glass fibre reinforced polymer (GFRP) laminate to each side of the column
to create a stiffer, composite section. The modulus of elasticity of the timber is 9 GPa and the
modulus of elasticity of the GFRP is 45 GPa.
5a) Determine the buckling capacity of the unreinforced timber column. The post is 5 m tall and
can be considered to be pinned at the bottom and fixed at the top for buckling about both
principal 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 1200
GPa, will the post fail by buckling or yielding?
241
394
Timber Post before
Strengthening
GFRP laminate 1 mm thick
x 350 mm wide on each side
Timber Post after
Strengthening
Hint: Buckling of a composite section can be calculated by using the "transformed moment of
inertia" (IT) in the appropriate equation. Yielding can be checked by using a "transformed area".

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

Find the minimum required area of the steel bearing plate so that the stresses are not exceeded.
The T-beam has the following properties: flange thickness = 125 mm flange width = 1000 mm web width = 500 mm web height = 350 mm f'c = 28 Mpa a) Calculate the stresses in concrete at uncracked stage under 200 kN-m. b) Calculate the cracking moment. c) Determine the balanced steel area and balanced ultimate moment. The steel is placed 80 mm from its cg up to extreme fiber with yield strength of 414 MPa.
CRACKED ANALYSIS ON BEAM
The concrete in the core of a spiral column is sub- jected to a uniform confining stress o, of 680 psi. What will the compressive strength o be? The un- confined uniaxial compressive strength is 5000 psi.
here are the answer, only need solutions 1.f = 11.46 MPa 2.Mcr= 88.90 kN-m 3.fconc= 17.14 MPa; fsteel= 318.20 MPa
Given the following properties of beam: b = 250 mm, d = 325 mm and h = 400 mm. a) Assuming the concrete is uncracked, compute the bending stresses (in MPa) in the extreme fibers of the beam at M = 100 kN-m. Blank 1 b) Determine the cracking moment (in kNm) for the section if f'c = 28 MPa. Blank 2 c) Compute the flexural stresses in the concrete and steel of the beam using the transformed-area method at M = 100 kN-m, n = 9 and reinforced with 5-16 mm diameter tension bars. Unit must be in MPa. fc = _Blank 3, fs =__________ Blank 4
The end block of a post-tensioned beam is 100 mm x 150 mm. A prestressing cable consisting of 7 wires of 6 mm dia strand and stressed to 800 MPa has to be anchored at the center of the block. The anchorage plate is 75 mm x 75 mm. If the concrete mix is M45 and the permissible bending stress in M. S. steel plate is 165 MPa, determine the thickness of the anchorage plate.