Find out load carried and compressive stress - steel bar, Mechanical Engineering

Find out load carried and compressive stress:

The concrete column 300mm x 300mm in section can be reinforced by 10 longitudinal 20mm diameter round steel bars. The column carries compressive load of 450 KN. Find out load carried and compressive stress produced in steel bars and concrete. Take
E
s = 200GN/m2  and

Ec  = 15GN/m2.

Sol.: The cross sectional Area of column = 300 × 300 = 90000mm2

Area of   steel bars As = 10 × ( Π /4)(20)2  = 3141.59mm2

Area of concrete = 90000 - 3141.59 = 86858.4 mm2

Each component shorten by the same amount under compressive load, and thus

Strain in concrete = strain in steel
σ c/Ec = σ s/Es

Where σc, σ s    are stress induced in the concrete and steel respectively
σs  = (Es σs)/Ec

= (200 × 109 /15 × 109) σc  = 13.33  σc

Furthermore,

Total load on column =   Load carried by steel + load carried by concrete

P = σs.As  +     σc.Ac

450 × 103 = 13.33σ c × 3141.59 +σ   c. 86858.4

= 128735.8 c

σc = 3.59 N/mm                                                                                                           .......ANS
σ
s  = 13.33 × 3.59 = 46.95 N/mm                                                         .......ANS

Load carried by the concrete Pc =   σcAc    = 3.59 × 86858.4 = 311821.656 N = 311.82KN .......ANS

Load carried by the steel Ps  = σsAs  = 46.95 × 3141.59 = 147497.65 N = 147.49 KN      .......ANS

Posted Date: 10/23/2012 2:16:24 AM | Location : United States







Related Discussions:- Find out load carried and compressive stress - steel bar, Assignment Help, Ask Question on Find out load carried and compressive stress - steel bar, Get Answer, Expert's Help, Find out load carried and compressive stress - steel bar Discussions

Write discussion on Find out load carried and compressive stress - steel bar
Your posts are moderated
Related Questions
You need to sketch shear force and bending moment diagrams and estimate maximum bending and shear stresses acting on the beam using your knowledge in beam analysis.  Please note

"Extension of screw conveyer by using spline shaft, U-joint with the help of hydraulic cylinder" For fully automatic extension of screw conveyer according to screed width we ha

draw the projection of pentagonal pyramid have 30 mm edge and axis 50 mm long having base on hp and an edge of the box parallel to vp

A 4- pole DC motor is known to have an armature resistance of 0.5 Ω, and is operated as a separately excited motor. (a)  When the motor is connected to a 250V DC supply with no

Dust Collector:             Dust collector system is to collect the blast burrs or waste particle created during the blasting process. During the blasting process, this dust co

Evaluate resultant of the system: Q: Figure given below shows two vertical forces and couple of moment 2000 Nm acts on horizontal rod, which is fixed at end A .  Determin

In a sun and planet type gear, the annular gear (D) has 100 internal teeth, the sun gear (A) has 50 external teeth and a planet gear (B) has 25 external teeth. The gear (B) meshes

Derive the mathematical expression for temperature distribution for plane wall with internal heat generation when both the surfaces are at same temperature?

Define the Application of Abrasive Jet Cutting Machines Cleaning purpose. Cutting fine lines. Machining semiconductors. Drilling and cutting thin section of har

how to design and fabricate wilson hartnell governor?