The 5-ft concrete post is reinforced with six steel bars, each with a-in. diameter. Knowing that E = 29 x 106 psi and E,= 3.6 x 106psi, determine the normal stresses in the steel and in the concrete when a 190-kip axial centric force is applied to the post.5 ft10 in.10 in.The normal stresses are as follows:σςksiksi

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Answered: The 5-ft concrete post is reinforced…

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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A rectangular concrete beam is 12 in. wide and has an effective depth (d) of 18 in. Compression steel is located 2.5 in. from the compression face of the beam and is two No. 8 bars. Calculate the design moment capacity of the beam, for f'c = 4,000 psi and fy = 60,000 psi. Solve for the following tension reinforcement amounts: a b C Three No. 10 bars in one layer Four No. 10 bars in two layers (Two No. 10 bars in each layer) Six No. 9 bars in two layers (Three No. 9 bars in each layer)
1. The web has a width of 350 mm and the slab thickness is 100 mm. The beam has a span of l6.5 feet and spaced at 6.5 feet center to center of the beam. A reinforced concrete T-beam has an effective depth of 500 mm and has a reinforcement bar of 8 - #7 bar size at the bottom. Yield stress of steel is Fy = 280 MPa. Concrete has a strength of f c = 20.7 MPa Assume steel covering of 40 mm. a. Determine the effective width of the flange. b. Determine the depth of compres sion block. c. Determine the ultimate moment capacity of the beam.
INELASTIC BENDING OF SINGLY REINFORCED CONCRETE BEAM SECTION *A trapezoidal concrete beam is casted with a compressive strength of about 20 MPa. The beam is reinforced with 3- 32 mm diamater bars in the tension zone with a yield strength of 275 MPa. The bar is located 100 mm from the bottom. Determine the nominal bending strength. Assume that the beam is symmetrical about the vertical axis with a depth of 600 mm, a top width of 500 mm, and a bottom width of 200 mm.
A reinforced concrete beam having a width of 300mm and a overall depth of 600 mm is reinforced with 2-25mm compression bars placed 60 mm from extreme concrete & 6-25mm tension bars with concrete covering of 60 mm from the centroid of the bar group. Concrete Strength, fc' = 27 MPa, Steel Strength, fy = 415 MPa. A. Determine the balanced steel area considering the contribution of the compression steel. B. Determine the maximum tension steel area allowed by the code.
A 62.6-kN vertical load P is applied at the corner of the square cross section of the steel compression member AB, which is free at its top A and fixed at its base B. Knowing that for the grade of steel used oy=345 MPa and E= 200 GPa, and using the allowable-stress method, determine the smallest allowable dimension d. B D 1.5 m The smallest allowable dimension dis mm.
The beam is loaded uniform deadload of 42 kN/m (including its own weight), and a uniform live load of 48 kN/m. Concrete strength fc' = 21 MPa and steel yield strength fy = 415 MPa, concrete cover is 65 mm from the centroid of the bars. Assume El to be constant. 320 mm 540 mm 7m 2m a. What is the uniform factored load on the beam in kN/m? b. What is the vertical reaction (factored) at B in KN? c. What is the maximum nominal moment can the beam carry if it is to be design as singly reinforced, in kN.m? d. What is the required tension steel area in mm2, at point of maximum positive moment? e. What is the required tension steel area in mm2, at point of maximum negative moment? f. Using simplified calculation, calculate the nominal shear strength provided by concrete near the fixed end, in KN? g. Using 10 mm W-stirrups with fyh = 275 MPa, what is the required stirrup spacing near the fixed end?
Determine the maximum concrete and steel stresses at the point of maximum positive and negative moment. Fc'= 40 Mpa.
Problem #1. The base of a rectangular reinforced concrete beam is 300mm and the effective depth is 550mm. Concrete compressive strength on the 28" day is 24MPA and steel yield strength is 415MP.. Determine : a. The depth of compression block (in mm, 2 decimal places), the strain in the tension steel (5 decimal places) and ultimate moment capacity (in KN.m, nearest tenth) of the beam if it is reinforced with 4-32mm diameter bars. b. The depth of compression block, the strain in the tension steel and ultimate moment capacity of the beam if it is reinforced with 4-20mm diameter bars.
Problem The following are the dimensions of a concrete T-beam section Width of flange, bf = 600 mm Thickness of flange, tf = 80 mm Width of web, bw = 300 mm Effective depth, d = 500 mm The beam is reinforced with 3-32 mm diameter bars in tension and is carrying a moment of 100 kN.m. Find the total compressive force in the concrete. Use n = 9.
Determine the maximum and concrete and steel stresses at the point of maximum positive and negative moments
6
Situation #1: A reinforced concrete beam has a width of 300 mm and an overall depth of 550 mm. The beam is reinforced with five 25-mm diameter bottom bars and two 16-mm-diamter bars, both having fy = 345 MPa. Concrete strength fc' = 24 MPa. The centroid of the bars are located 65 mm from extreme concrete fibers. Unit weight of concrete = 23.5 kN/m3. The beam is simply supported over a span of 6 m and carries a superimposed deadload of 8 kN/m. Use NSCP 2010 1.1 What is the depth of compression block? 1.2 What is the stress of the compression steel? 1.3 What is the nominal capacity of the beam? 1.4 What safe uniformly distributed live load can the beam carry over its entire length? 1.5 Using the loads obtained from the previous questions, what is the required nominal shear strength of the beam at critical section near the support? 1.6 Using 10 mm U stirrups with fy = 275 MPa, what is the required stirrup spacing near the support.

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