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
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


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
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
Explain concept of Reaming and boring of radial drilling machine Reaming Reaming is accurate way of sizing and finishing the pre-existing hole. Multi tooth cutting tool. A

Produce as individuals a single tab Excel spreadsheet which shows a rough initial design for a water treatment plant taking 15MLD of water with 100 mg/l SS from a lake at 750mAOD,

Determine the dead load: A 250 mm diameter sewer is placed in a 2.75 m deep rectangular trench that is 0.65 m wide. This trench is backfilled with saturated clay having a unit

Camshaft : The camshaft controls the opening and closing of the two valves. The associated parts are push rods, rocker arms and valve springs. The camshaft is driven by a camchai

Determine the final temperature in piston – cylinder: One Kg of steam at 1.5MPa and 400ºC in a piston - cylinder device is cooled at constant pressure. Determine the final te

Metals and Melting Practices - Alloy,Blowing,Carbon Monoxide Normal 0 false false false EN-IN X-NONE X-NONE Microsoft

what is the essentials of a good boiler?

Design of a Bicycle Frame : Figure  depicts a simple bicycle frame, which is to be built of hollow aluminium tubing with outside diameter of 20 mm and wall thickness of 2 mm. The f