Question

In: Civil Engineering

A short reinforced concrete column is subjected to a 1000 kN axial compressive load. The moduli...

  1. A short reinforced concrete column is subjected to a 1000 kN axial compressive load. The moduli of elasticity of plain concrete and steel are 25 GPa and 207 GPa, respectively, and the cross-sectional area of steel is 2% of that of the reinforced concrete. Considering the column as a structural member made of a composite material and subjected to load parallel to the steel rebars, calculate the following:

a. the modulus of elasticity of the reinforced concrete

b. the load carried by each of the steel and plain concrete

c. the minimum required cross-sectional area of the column given that the allowable compressive stress of plain concrete is 20 MPa and that the allowable compressive stress of plain concrete will be reached before that of steel.

d. Plot the stress-strain behavior for the steel fiber, concrete and composite on the same plot.

Solutions

Expert Solution


Related Solutions

A short reinforced concrete column is subjected to a 1000 kN axial compressive load. The moduli...
A short reinforced concrete column is subjected to a 1000 kN axial compressive load. The moduli of elasticity of plain concrete and steel are 25 GPa and 207 GPa, respectively, and the cross-sectional area of steel is 2% of that of the reinforced concrete. Considering the column as a structural member made of a composite material and subjected to load parallel to the steel rebars, calculate the following: a. the modulus of elasticity of the reinforced concrete b. the load...
Question1) A motor shaft is subjected to 4 kN axial load and 2 kN radial load....
Question1) A motor shaft is subjected to 4 kN axial load and 2 kN radial load. shaft rotates 800 rpm and its roller bearing has lh=10000 hours working life.Choose the single row roller bearing .(define the diameter of shaft)(Can you assign it to the table pictures.)
The column of a ten-story concrete structure is considered short column and is under axial loading...
The column of a ten-story concrete structure is considered short column and is under axial loading of 900 kips dead and 400 kips live load. Design a square column using f'c=5000 psf and fy=60000 psi. Determine vertical reinforcement and ties and draw a sketch. Follow all requirements of ACI.
A 450 mm × 650 mm column supports factored axial load of 2500 kN centered in...
A 450 mm × 650 mm column supports factored axial load of 2500 kN centered in single footing. After assuming the depth and density of soil above footing, assume the required depth of footing [10 marks]. a) Check depth due to two-way shear b) Check depth due to one-way shear action c) Calculate the bending moment and steel reinforcement e) Determine development length of dowels d) Check bearing stress e) Determine development length of dowels
A simply supported reinforced concrete beam with uniformly distributed load of 10 kN/m has a span...
A simply supported reinforced concrete beam with uniformly distributed load of 10 kN/m has a span of 6.0 metres. The beam cross-section is 225 mm breadth by 300 mm depth. Sketch and design the beam. Make necessary and realistic assumptions where applicable
Determine the allowable axial compressive load for a 25-foot long A992 W8X40 structural steel column using...
Determine the allowable axial compressive load for a 25-foot long A992 W8X40 structural steel column using the AISC procedure as indicated in your textbook. The bottom of the column is fixed, an the top is pinned. Use the material properties and dimensions as indicated in the appendices of your textbook. 250.3k 131.4k 215.8k 283.4k
A 6 meter tall concrete column 40 cm square is supporting a 4 MN compressive load....
A 6 meter tall concrete column 40 cm square is supporting a 4 MN compressive load. The concrete has an elastic modulus of 30 GPa, compressive strength of 28 MPa, tensile strength of 3.5 MPa and Poisson’s Ratio 0.3. The concrete is reinforced by 16 #8 W40 axial rebar (200 GPa elastic modulus, 275 MPa compressive strength), spaced 8 cm apart on each side, 8 cm from the surface of the column. What is the compressive stress on the column?...
Q1 / An axial load of 75 kN was applied to a steel rod of 3...
Q1 / An axial load of 75 kN was applied to a steel rod of 3 m in length and 0.025 m in diameter. Calculate the change in length (∆L), Poisson’s ratio, percent elongation and percent reduction in   area. Take change in diameter (∆d) = 5.73 x10 mm and E = 200 kN / mm . subject :- strength of material
a member in a braced frame supports an axial compressive load and end moments that cause...
a member in a braced frame supports an axial compressive load and end moments that cause bending about both axes of member. A second order analysis was performed with factored loads and and reduced members stiffnesses to obtain the moments and axial forces. USE LRFD and selet the lightest W shape of A992 steel? Axial=140 k. Mux= 150 ft-kips. Muy=150 ft-kips. Mux=75 ft-kips. Muy=75 ft-kips.
Design a square concrete column footing to support a 500-mm x 500-mm reinforced concrete column. The...
Design a square concrete column footing to support a 500-mm x 500-mm reinforced concrete column. The center of the column and footing must coincide. Loads: ???=350 ??, ???=480 ??, ???=100 ??−?, ???=130 ??−? Column Design Criteria: ??′=28 ???, ??=400??? Footing Design Criteria: ??′=28 ???, ??=400???, ??=175 ???,??=1.50 ?, ??=16 ??/?3,??=24 ??/?3, ??=20 ??, assume a thickness of the footing of 500 mm.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT