A simply supported singly reinforced rectangular beam has a width of 300 mm, overall depth of 600mm, and an effective depth of 520 mm. The beam is loaded as shown in the figure below. The sectionis reinforced for tension with 4 - 25 mm diameter deformed grade 60 steel bars (fy=420 MPa) and thestrength of concrete is fc' = 49 MPa. The length of the beam is 5.2 m.P₁₁P₂1L/3L/2LPQ#1)What is the value of modular ratio, n?(a) 9.28 (b) 8.04 (c) 7.19 (d) 6.57 (e) 6.08 (f) 5.69PQ#2)(a) 308.12 (b) 318.24 (c) 311.98 (d) 313.92 (e) 309.58 (f) 311.55PQ#3)What is the value of the cracking moment (in kN-m)?(a) 88.13 (b) 121.27 (c) 61.73 (d) 89.22 (e) 76.30 (f) 106.61PQ#4) What is the maximum value of P2 (in kN) if P₁=50kN at onset of the cracking moment? (Round-off to 1 decimal place.)What is the depth of the N.A. at cracking moment (in mm)?

Answered: Image /qna-images/answer/b7c77977-33cb-4a2e-8c19-97a80c287584.jpg

A simply supported singly reinforced rectangular beam has a width of 300 mm, overall depth of 600 mm, and an effective depth of 520 mm. The beam is loaded as shown in the figure below. The section is reinforced for tension with 4 - 25 mm diameter deformed grade 60 steel bars (fy=420 MPa) and the strength of concrete is fc' = 49 MPa. The length of the beam is 5.2 m. P₁ P₂ 2 L/3 L/2 L PQ#1) What is the value of modular ratio, n? (a) 9.28 (b) 8.04 (c) 7.19 (d) 6.57 (e) 6.08 (f) 5.69 PQ#2) (a) 308.12 (b) 318.24 (c) 311.98 (d) 313.92 (e) 309.58 (f) 311.55 PQ#3) What is the value of the cracking moment (in kN-m)? (a) 88.13 (b) 121.27 (c) 61.73 (d) 89.22 (e) 76.30 (f) 106.61 What is the depth of the N.A. at cracking moment (in mm)?

A simply supported singly reinforced rectangular beam has a width of 300 mm, overall depth of 600 mm, and an effective depth of 520 mm. The beam is loaded as shown in the figure below. The section is reinforced for tension with 4 - 25 mm diameter deformed grade 60 steel bars (fy=420 MPa) and the strength of concrete is fc' = 49 MPa. The length of the beam is 5.2 m. P₁ P₂ 2 L/3 L/2 L PQ#1) What is the value of modular ratio, n? (a) 9.28 (b) 8.04 (c) 7.19 (d) 6.57 (e) 6.08 (f) 5.69 PQ#2) (a) 308.12 (b) 318.24 (c) 311.98 (d) 313.92 (e) 309.58 (f) 311.55 PQ#3) What is the value of the cracking moment (in kN-m)? (a) 88.13 (b) 121.27 (c) 61.73 (d) 89.22 (e) 76.30 (f) 106.61 What is the depth of the N.A. at cracking moment (in mm)?

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

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 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
A cast iron tube 3m long is completely filled with concrete and used as a vertical strut. if the external diameter of the tube is 450mm and the wall is 35mm thick, determine the maximum compressive load the composite strut can support if the stress in the concrete is not exceed 2N/mm2. By how much should the strut shorten under this load. For cat iron EA= 100GN/m? and for concrete Eb = 10GN/m?. %3D
1.) Given the following properties of a rectangular concrete beam: b = 280mm, d = 480 mm, f'c = 21 MPa, fy = 414 MPa. The beam is reinforced for tension only. Determine the design strength under the following conditions. a.) When the beam is reinforced with three 25 mm diameter bars. b.) When the beam is reinforced with four 25 mm diameter bars. c.) When the beam is reinforced with seven 25 mm diameter bars.
A rectangular beam 250 mm wide, 500 mm deep is reinforced at the bottom with 4-20-mm-diameter bars and at the top with 2-16-mm bars. The concrete cover to bar centroid is 80 mm and at the bottom is 70 mm. use concrete strength f'= 21 MPa and steel yield strength fy=415 MPa for all bars. 1. Determine the tensile steel ratio when the beam is in positive bending. a. 0.01567 b. 0.01283 c. 0.01169 d. 0.01923 2. Determine the nominal moment capacity in kN-m of the beam in positive bending. a. 188.30 b.167.70 c.218.96 d.193.68 3. Determine the tensile steel ratio when the beam is in negative bending. a. 0.00406 b. 0.00475 c.0.00383 d. 0.00508 please provide a complete solution so I can understand. Very much appreciated to solve it early !!
Use f'c = 30 MPa and fy = 415 MPa. The unit weight of concrete is 24 kN/m³ . The floor of a cantilever floor system is made up of a 150mm thick concrete slab (cast monolithically with beam) and the beams have widths of 300 mm, a total depth of 560 mm, and are to be reinforced with 5-Ø28 mm bars. The center-to-center spacing of beams is 4 m. The cantilever floor system is also built using 4m cantilever reinforced beams as supports. a) Find the maximum service live load (kPa) that the current floor design can support. b) Suppose that the floor will need to carry a superimposed service dead load of 2 kPa and service live load of 7.2 kPa, will the existing floor design be adequate? If not, redesign the beams (find the appropriate number of Ø28-mm rebars and provide a final sketch). Use cc = 40 mm, stirrup diameter of 10 mm, and nominal maximum aggregate size of 20 mm.
A rectangular fixed supported beam has the following properties. Compression steel if required shall have its centroid "d " mm from the extreme fiber. Calculate the required steel area (mm) at the midspan and end supports of the beam. Sketch the location of the reinforcements. Use 23.6 kN/m for the unit weight of the concrete. Round off your final answer in 3 decimal places. Given: width of beam, b = 450 mm depth of beam, h = 650 mm clear cover up to center of tension 60 mm bars= d'= 65 mm f'c = 35 MPa fy = 415 MPa wDL = 72 kN/m wLL = 63 kN/m Length of beam = 12 MIDSPAN: Required Tension Steel Area = mm? Required Compression Steel Area (if needed) - mm2 END SUPPORTS: Required Tension Steel Area = mm? Required Compression Steel Area (if needed) - mm?
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
A 300mm x 425 rectangular beam is reinforced for tension only with 4-28mm bars. The beam has a concrete cover of 40mm and a stirrup of 10mm diameter bar. The beam carries a live load and a dead load (without its self-weight). Given that unit weight of concrete is 24kN/ cu.m f'c = 21 MPa and fy = 414 MPa, calculate the additional concentrated live load as shown in the figure.
The maximum compression in a concrete beam fiber is 6.2 MPa. The depth of the neutral axis is 124 mm and the characteristic compressive strength of the concrete is 25 N/mm?. Determine the effective curvature of the beam,
A rectangular reinforced concrete beam has a length of 14 m is simply supported atboth ends. The width of beam is 350mm and the overall depth is 550 mm. Determine the area of the steel reinforcements if the beam is to carry a DL = 15kN/m and LL =18kN/m. The concrete strength fc = 25 and steel yield fy = 400 ��. Use 60 mm concretecover.
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.