For the beam shown below, determine the steel area required for the section shown below. The cross-section dimensions are limited to the values shown. If compression steel is required, assume that it will be placed at a distance 70 mm from the compression face. Assume f'c = 28 MPa and Fy = 420 MPa. The concrete is normal weight. Assume: Mu = 1000 kN.m. b = 300 mm. d = 550 mm. T 70 mm b mm mm

For the beam shown below, determine the steel area required for the section shown below. The cross-section dimensions are limited to the values shown. If compression steel is required, assume that it will be placed at a distance 70 mm from the compression face. Assume f'c = 28 MPa and Fy = 420 MPa. The concrete is normal weight. Assume: Mu = 1000 kN.m. b = 300 mm. d = 550 mm. T 70 mm b mm 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

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 has the dimensions (see Figure) b = 12 in., h - 20 in, and d 17 in. and is reinforced with three No. 9 (No. 29) bars so that As - 3.00 in. The concrete compressive strength fe is 4000 psi, and the tensile strength In bending (modulus of rupture) is 475 psi. The yield point of the steel f, is 60,000 psi. Determine the concrete compression stress at the top fiber caused by a bending moment M- 10 ft-kips. 9- 6.78 in, I= 4067 in, Es= 29000000, E = 3600000 17 in. 20 in. 3 #9 bars (A, - 3.00 in.?) 3 in. -12 in- Select one: a. 390 psi b. 1390 psi c. 200 psi d. 250 psi
For the cross section shown below, the material and sectional properties are given as follows: Determine the modular ratio. The concrete modulus of elasticity can be estimated by [psi] where must be in unit psi. (b) Draw the transformed section. (C) Show that the cross-section is elastic and does not have cracks when a bending moment of 1,000 kips-in is applied. Also, given the bending moment, find the maximum stress in concrete and steel. The neutral axis is at 11.05 in. from the top surface, and the moment of inertia around the neutral axis is 26676 in4.
For the bean shown below, the concrete strength is 5000 psi and the yield strength is 60,000 psi. For the midspan section shown, check if steel yields and compute ØM, and compare it with M. WD = 1.2 kips/ft plus weight of beam WL = 1.5 kips/ft %3D 20.5 in 23 in 3 no. 9 bars 18 ft 11 in.
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
A concrete floor slab 10e mm thick is cast monolithic with concrete beams 2.0 m on centers. The beams have a span of 4.0 m, web width of 250 mm and overall depth of 500 mm. The tensile reinforcement consists of 6-020 mm bars in two rows with 25 mm vertical clear spacing. Use material strengths f'c = 21 MPa and fy = 415 MPa. Calculate the following considering a T-geometry: Effective flange width of an interior beam in mm = Depth of uniform stress block at ultimate stage in mm to the nearest whole number = Tensile steel strain compatible with concrete strain of 8.003 in 3 decimal places =
AW18 x 40 standard steel shape is used to support the loads shown on the beam. Assume P = 25 kips, w = 3.6 kips/ft, LAB = 5.6 ft, LBC = 5.6 ft, and LcD = 16.8 ft. Determine the magnitude of the maximum bending stress in the beam. LAB Answer: Omax = i B LBC C ksi W LCD D ZOQ Q 214% TOP BARI ENG 11:41 am 35 28/04/2023 8 cores
Find the maximum allowable value of P for the column. The cross-sectional areas and working stresses (ow) are shown in the figure. |2P Steel: A = 500 mm2 Ow = 120 MPa P Timber: 4P A = 2000 mm? Ow = 12 MPa Concrete: A = 8000 mm? O = 16 MPa
A concrete floor slab 100 mm thick is cast monolithic with concrete beams 2.0 m on centers. The beams have a span of 4.0 m, web width of 250 mm and overall depth of 500 mm. The tensile reinforcement consists of 6 - ø20 mm bars in two rows with 25 mm vertical clear spacing. Use material strength f'c = 21 MPa and fy = 415 MPa. Calculate the following considering a T-geometry: Effective flange width of an interior beam in mm = _______ Depth of uniform stress block at ultimate stage in mm to the neares whole number = _______ Tensile steel strain compatible with concrete strain of 0.003 in 3 decimal places = __________
Seatwork The beam shown is prestressed by using a bonded (stress relieved tendons) with a specified tensile strength of prestressing tendons strength fpu=1350 MPa, fc'=35 MPa. The area of prestressed reinforcement in tension zone Aps=1000 mm?. The specific yield strength of prestressing tendons sd, foy=1160 MPa. а. What is the value of the stress in prestressed reinforcement at nominal strength (Aps) b. What is the value of the depth of the compression block. С. What is the ultimate moment capacity of the prestressed beam. 0.85fc' 430 NA |(d-a/2) · A=1000 T=Ap.Sps 250
A reinforced concrete beam is shown in the figure below. 0.75-in, diameter rods Wo 20 in. 2.5 in. 8 ft- 8 ft 10 in. Part A Determine the maximum uniform distributed load wn that can be supported by the reinforced concrete beam if the allowable tensile stress for the steel is (Ost )allow = 30 ksi and the allowable compressive stress for the concrete is (oconc )allow = 3 ksi . Assume the concrete cannot support a tensile stress. Take Est = 29(10) ksi , Econe = 3.6(103) ksi Express your answer to three significant figures.
CASE:A rectangular beam has the dimensions (see Fig.1) b = 15 in.,h = 30 in., and d = 27.37 in. and is reinforced with three No.9 bars. The concrete compressive strength fc' is 4000 psi, and the tensile strength in bending (modulus of rupture) is 475 psi. The yield point of the steel fy is 60,000 psi, the stress-strain curves of the materials being those of Fig.2. Determine the stresses caused by a bending moment M = 45 ft-kips.Question1:Check this case, would the concrete of the beam crack? Please calculate the strengths of those two materials in this beam.Question2:Suppose the beam under this case is subject to a bending moment M = 110 ft-kips (rather than45ft-kips as previously). Calculate the relevant properties and stresses.Question3:Determine the nominal moment Mn at which the beam of this case will fail. Question4:Have a comparison of the calculation results with those of three questions.