The reinforced concrete beam is made using two steel reinforcing rods. Figure 1 of 1 Part A If the allowable tensile stress for the steel is (st) allow = 36 ksi and the allowable compressive stress for the concrete is (conc) allow = 3.1 ksi, determine the maximum moment M that can be applied to the section. Assume the concrete cannot support a tensile stress. Est = 29 (10³) ksi, Econe = 3.8 (10³) ksi. (Figure 1)

The reinforced concrete beam is made using two steel reinforcing rods. Figure 1 of 1 Part A If the allowable tensile stress for the steel is (st) allow = 36 ksi and the allowable compressive stress for the concrete is (conc) allow = 3.1 ksi, determine the maximum moment M that can be applied to the section. Assume the concrete cannot support a tensile stress. Est = 29 (10³) ksi, Econe = 3.8 (10³) ksi. (Figure 1)

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

Determine the prestressing steel area required for the precast concrete T-beam. Use the following data: Total moment = 250 kN-m Effective stress fse= 862 MPa Allowable concrete stress = f.=11 MPa Consider zero stress at the bottom of the beam I=3673x106 mm4 A=103125 mm² Eccentricity = 271.6 mm Centroid of steel is located at 100 mm from the bottom of the beam. Select one: a. 591.97 mm b. 789.29 mm 2. C. 443.98 mm 2. d. 986.61 mm
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 stress in the steel caused by a bending moment M = 10 ft-kips. 9 - 6.78 in, I- 4067 in, Es = 29000000, E - 3600000 L17 in. 20 in. 3 #9 bars (A, - 3.00 in.) 3 in. -12 in.- Select one: a. 2525 psi b. 2412 psi C. 2615 psi d. 2817 psi
A rigid steel plate is supported by three posts of high-strength concrete each having an effective cross-sectional area A = 40,000 mm2 and length L = 2 m (see figure). Before the load P is applied, the middle post is shorter than the others by an amount s = 1.0 mm. The allowable compressive stress in the concrete is 20 MPa and E of concrete is 30 GPa. What is the minimum load P (kN) needed to close the gap? P S
a) Determine the maximum bending moment kNm b) Determine the stress in the steel MPa Determine the maximum stress in the concrete. oc MPa
5. The rod bar shown has steel, brass, and aluminum sections. Axial loads are applied at cross sections A, B, C and D. The allowable stresses are 125 MPa in steel, 70 MPa in the brass, and 85 MPa in the aluminum. Assume that the allowable stresses are the same for tension (T) and compression (C). (a) Determine the diameter required for the brass bar. (b) Determine the required diameter for the steel bar. (c) Determine the required diameter for the aluminum bar. Express your answer in millimeters. Steel Brass C Aluminum B A 100 kN 85 kN 200 kN 215 kN 0.5 m 0.5 m 0.5 m
Question 8 1 p The rectangular doubly reinforcement stress concrete block with the arrangement of reinforcement of 2N28 bars on top and 3N28 bars on bottom. The modulus of elasticity are Ec=23,500MPa and Es = 200,000MPa. Dead load is 18KN/m and live load is 12KN/m. f'c = 25MPa 800 TE 730 N12 ligs (fsv.t-500MPa) Ast = 3N28 350 Span = 10m Figure 3 Calculate the concrete stresses in tension and compression of the reinforcement concrete beam shown in Figure 3. Compression concrete stress Choose ] Tension Concrete stress Choose]
AW18 x 40 standard steel shape is used to support the loads shown on the beam. Assume P = 15 kips, w = 4.0 kips/ft, LAB = 3.2 ft, LBC= 3.2 ft, and LcD = 15.0 ft. Determine the magnitude of the maximum bending stress in the beam. P LAB Answer: Omax B LBC ↓↓↓ C ksi W LCD X
a. Determine the moment of Inertia at the neutral axis.b. Determine the resisting moment for the cross section shown.c. Determine the stress of steel after concrete hardens.
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
The rectangular doubly reinforcement stress concrete block with the arrangement of reinforcement of 2N28 bars on top and 3N28 bars on bottom. The modulus of elasticity are Ec =23,500MPa and Es = 200,000MPa. Dead load is 18KN/m and live load is 12KN/m. f'c = 25MPa 800 730 N12 ligs (fx.t-500MPa) Ast = 3N28 350 Span = 10m Figure 3 Use the Transformed section approach considering the presence of steel. Calculate the concrete area and transformed steel area in both tension and compression shown in Figure 3. n=Es/Ec Ast=1232mm^2 Use n-1 for the transformed area to do the calculate. Unit: mm^2 with two decimal
A simply supported beam is reinforced with 5-25mm at the bottom And 2-20mm at the top if the beam. Concrete covering to centroid of reinforcement is 70mm at the top and 64 mm at the bottom. The beam has a gross depth of 450 mm and gross width of 300 mm. Fc’=28 mpa fy= 415 mpa. Assume bars are laid out in a single layer. calculate the following if the limiting tensile steel strain is 0.004 for ductile failure: a) depth if neutral axis from the extreme concrete compression fiber ( in mm, in whole number) b) design strength of the beam section ( in kn•m , in whole number) c) maximum service uniform live load over the entire span in Addition to a DL = 20 kn/m ( including weight of the beam) if it has a span of 6 m ( in kn, in whole number)
A rectangular steel block is 75 mm in the x-direction, 50 mm in the y-direction and 100 mm in the z direction. The block is subjected to triaxial loading consisting of three uniformly forces as follows: KN tension in the x-direction, 250 KN compression in the y-direction, and 240 KN tension in the z-direction. If u = 0.3 andE = 200 GPa, Determine the total resulting strain in the x- direction. %3D