A simply supported reinforced concrete beam carries a uniformly distributed load of 12 kN/m on a span of 4 m. The beam has a rectangular cross section 250 mm wide by 450 mm deep, with three 20 mm diameter steel bars placed 60 mm from the bottom of the beam, as shown below. The moduli of elasticity for the concrete and steel are 15 GPa and 200 GPa, respectively. Determine the average tensile stress in the steel and the maximum compressive stress in the concrete at the section of maximum bending moment. 450 mm 250 mm 60 mm

A simply supported reinforced concrete beam carries a uniformly distributed load of 12 kN/m on a span of 4 m. The beam has a rectangular cross section 250 mm wide by 450 mm deep, with three 20 mm diameter steel bars placed 60 mm from the bottom of the beam, as shown below. The moduli of elasticity for the concrete and steel are 15 GPa and 200 GPa, respectively. Determine the average tensile stress in the steel and the maximum compressive stress in the concrete at the section of maximum bending moment. 450 mm 250 mm 60 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 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
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 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: 24 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 and E = 200 GPa, Determine the total resulting strain in the z- direction. Note: CN is the last 2 non zero digits of your cellphone number
A reinforced concrete beam 300 mm width has an effective depth of 450 mm. It is reinforced with 6 –32 mm Ф at the tension side and 2 – 28 mm Ф at the compression side located at 65 mm from the top. Fy = 345 MPa, fc’ = 34.5 MPa. Assume all steel yields and the contribution of compression steel may not be neglected.1. Which of the following gives the balance steel ratio? a. 3.8%b. 5.3%c. 4.5%d. 8.4%2. Which of the following gives the depth of compression stress block? a. 163 mmb. 123 mmc. 134 mmd. 145 mm3. Which of the following gives the nominal moment capacity of the beam? a. 734.5 kN – mb. 324.6 kN - mc. 631.2 kN – md. 543.4 kN - m
A reinforced concrete beam has a width of 400 mmand a total depth of 550 mm. The longitudinal bars at the top are 2– 28 mm and 4 – 32 mm at the bottom. Concrete strength is f’c =24 MPa and steel yield strength fy = 300 MPa. Steel cover is 70mm and modular ratio is 9.What is the transformed moment of inertia?What is the moment capacity?What is the safest uniformly distributed load that the beam cancarry if the length of the simply supported beam is 8 m.
For the concrete beam shown, the modulus of elasticity is 25 Gpa for the concrete and 200 GPa for the steel. Knowing that b= 200 mm and d-450 mm, and using an allowable stress of 12.5 MPa for the concrete and 140 MPa for the steel, calculate (a) the required area As of the steel reinforcement if the beam is to be balanced, (b) the largest allowable bending moment. Hint: The design of a reinforced concrete beam is said to be balanced if the maximum stresses in the steel and concrete are equal, respectively, to the allowable stresses os and oc. BU 176 13 A 40 l: 40 9,0 244 في المداد ko J
A RECTANGULAR ALUMINUM BLOCK IS 110mm LONG IN THE X DIRECTION, 70mm WIDE IN THE Y DIRECTION AND 85mm THICK IN THE Z DIRECTION. IT IS SUBJECTED TO A TRIAXIAL LOADING CONSISTING OF A UNIFORMLY DISTRIBUTED FORCE OF 210 KN (COMPRESSION), 170 KN (TENSION) AND 230 KN (COMPRESSION) IN THE X, Y AND Z DIRECTIONS RESPECTIVELY. IF THE POISSON'S RATIO = 1/4 & E= 72 GPa, DETERMINE THE STRAINS IN THE X, Y AND Z DIRECTIONS. ALSO DETERMINE A SINGLE DISTRIBUTED FORCE IN THE Y DIRECTION THE WOULD PRODUCE THE SAME Z DEFORMATION AS THE ORIGINAL.
A beam, which is rectangular, has a base of 250 mm, and d = 575 mm. The beam is singly reinforced, where the recorded strain in the steel is 0.005, and the strain in the concrete is 0.003. fc' = 20.7 MPa, fy = 414.6 MPa. Note: As is not Given b) Determine the value of "As"
1. Shown is a composite plate joined together by rivets. The components consist of two tension bar plates that is % X 4 inch and riveted together by two splice plates which is 0.8 X 6 inch. Each rivet has a diameter of 25.4 mm. Considering that the allowable stress for the tension bar plates and splice plates is o=20.0 ksi, the allowable shear stress for the rivets is o=25.0 ksi and the allowable bearing stress on the rivets and splice plates is o=25.0 ksi. What will be the maximum permissible load P such that none of the allowable stresses will be exceeded? Splice Plates a-0.75 in Bar Lc =0.80 in. Bar P d = 1.0 in. b=4.0 in. Rivets 'e = 6.0 in.
/ For the rectangular reinforced concrete beam (shown below),determine the stress at the upper and lower fibers of concrete and at steel reinforcement if fc'=20 MPa
2. A reinforced concrete column 300 mm in diameter supports an axial compressive force of 500 kN. Determine the required area of reinforcing steel that will satisfy the following conditions: allowable stress for steel is 120 MPa whereas for concrete, the stress is limited to 6 MPa. Use Et = 200 GPa and Econ = 14 GPa.
A rectangular reinforced concrete beam has a width of 300mm and an effective depth of 400mm. Concrete strength is f'c = 28 mpa and steel yield strength is fy = 280 mpa. The modulus of elasticity of steel is 200,000 MPa Compute for the total compressive forceon concrete.