Design Problem 3The pretensioned circular beam shown below has straight cables with initial stress of 1500 MPa and final stressess after losses of 100 MPa.The beam span length is 7.50 m. Determine the deflection at the beam centering (use initial). Ec = 27,000 MPa. Assume the concrete isuncracked. The prestress steel is Aps = 874.195 mm². Unit weight of concrete is 24 kN/m³. Concrete cover is 100 mmDL Beam weight onlyLL = 12 kN/mD=700 mm

Answered: Design Problem 3 The pretensioned…

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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Determine the maximum concrete and steel stresses at the point of maximum positive and negative moments. Reinforced Concrete Design
A rectangular beam has a width of 380 mm, effective depth of 445 mm, and overall depth of 510 mm and is reinforced with four No.29 tension bars. The concrete modulus of rupture fr = 3.65 MPa. The elastic modulus of the concrete and steel are, respectively, Ec =27,800 MPa and Es= 200,000 MPa. Determine if the beam will show hairline cracks due to a bending moment M = 108 kN-m and compute the relevant stresses. Provide material properties for concrete and reinforcing steel used in your design.
A concrete post is reinforced with 4-28mm diameter steel bars. Compute the stress in each material if it carries a 1000kN compressive force. Esteel = 200 GPa and Ec = 15 GPa
Column AB is made from high strength pre-cast concrete and reinforced with four in. diameter A-36 steel rods. The allowable normal stress for the high strength concrete and the steel are (allow)con = 2.4 ksi and (allow)st = 24 ksi, respectively. The modulus of elasticity for high strength concrete is 4.2 × 10³ ksi and for A-36 steel is 29 x 10³ ksi. (Figure 1) Figure 10 ft 9 in. H 9 in. Section a-a Part A Determine the magnitude of the maximum allowable floor loading P. Express your answer to three significant figures and include the appropriate units. Pmax = Submit 04 μA Provide Feedback Value Request Answer Units ?
A reinforced concrete T-Beam has a width of 800mm and a thickness of 50mm. It has an effective depth of 300mm and is reinforced at the bottom with a total steel area of 1800sq.mm. If the web thickness of the T-beam is 200mm, with a concrete strength of fc' = 20MPa and yield strength of steel fy= 400MPa. Assume steel yields. The value of the area subjected tocompressive stress is _sq.mm A. 42,353 sq.mmB. 42,553 sq.mmC. 42,153 sq.mmD. 41,953 sq.mm
In all Questions use the Working Stress Method and the flowing material 25 MPa and f, = 420 MPa. properties f = If the stress in the top fiber of the concrete is f = 12.5MPa and in the steel is 400 MPa. Ec 25000 MPa, Es 200000 MPa. Determine the following: 1-Maximum strain in concrete 2- Maximum strain in steel and 3- Flexural strength of the section (the moment M) P 500 mm 300 mm
Q-A pre-tensioned concrete member of section 200 mm x 250 mm contains tendons of area 500 mm² at centre of gravity of the section. The prestress in the tendons is 1000 N/mm². Assuming modular ratio as 10, find the stress (N/mm2) in concrete.
A rectangular cantilever beam has a width of 250mm and an effective depth of 480mm. It is reinforced with 7-25mm bars. The beam is carrying a uniformly distributed dead load of 15kN/m. The compressive strength of the concrete is 21MPa and the yield strength of the steel is 415MPa. The depth of the concrete stress block is?
Concrete re in orced a enially with eight steel column bars as shown in Fig. Each bar has diametes of 25 mm It opplied load 4 KN, compute the is 180 Gpa and 3. materi al. Es Stress developed in Ec = 12 Gpa. each 500mm %3D 500mm in
SITUATION IIl: A reinforced concrete beam with a cross-section of 250mm x 460mm (60 mm steel cover). Use the following properties to calculate what is required: f'c = 20.7 MPa fy = 344.7 MPa %3D As = 3-36mm A's = 2-25mm 8) Draw the stress diagram of the beam section 9) Calculate for the depth of the compression block. 10) Calculate for the compressive strength of the concrete (in KN). 11) Calculate for the nominal moment capacity of the beam.
If column AB is made from high strength pre-castconcrete and reinforced with four 20 mm diameter A-36steel rods, determine the maximum allowable floorloadings P. The allowable normal stress for the highstrength concrete and the steel are (ϭallow)con = 18 MPaand (ϭallow)st= 170 MPa, respectively.

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