Evaluate secure axial load, Mechanical Engineering

Assignment Help:

Evaluate secure axial load:

A small piece of ISA (200 × 100 × 15) angle carries a compressive load, the line of action of which coincides along the intersection of the middle planes of the legs. If the maximum compressive stress is not to exceed 112 N/mm2, what is the secure axial load P? Given A = 4278 mm2, rxx = 64 mm, ryy = 26.4 mm.

2311_Evaluate secure axial load.png

Figure

Solution

Area of cross-section A = 4278 mm2

Eccentricity of load with respect of xx-axis = (71.8 - 7.5) = 64.3 mm

Eccentricity of load with respect to yy-axis = 22.2 - 7.5 = 14.7 mm

Maximum compressive stress at any section will be

= (P/ A) + (M xx/ I xx)  × y + (M yy/ I yy)  × x

or        

1783_Evaluate secure axial load1.png

Here,   rxx = 64 mm  and   ryy = 26.4 mm fmax = 112 N/mm2

∴          112 = (P/A) (1 + ((64.3 × 71.8 )/(64)2)+ 14.7 × 22.2 /((26.4)2)       

=          (P/4278) [1 + 1.127 + 0.4684]

∴          P = 184.6 kN.


Related Discussions:- Evaluate secure axial load

Tempering, TEMPERING: The hardening treatment specified to steel rais...

TEMPERING: The hardening treatment specified to steel raises the hardness but initiates internal stresses due to different cooling rates. The internal stresses are created al

Lifting machine, all information about lifting machine

all information about lifting machine

Explain about the collapsible soils and subsidence, Collapsible Soils and S...

Collapsible Soils and Subsidence There are soils which are quite stable when dry and they show large volume changes on wetting under load. Examples of  these soils are loess (w

Machien element, assumptions made in deriving a bending formula

assumptions made in deriving a bending formula

Ionization of inert gases, inert gas is ionizing in tig and mig,plasma arc ...

inert gas is ionizing in tig and mig,plasma arc welding processe.but it is impossible to react with inert gas

What is one way shear, What is one way shear? Explain with a suitable demon...

What is one way shear? Explain with a suitable demonstration. One Way Shear This worked out seen a similar case is the case of wall footings. For square footings also the cr

Determine the principal stresses and angle, A "perfect" square (shown in da...

A "perfect" square (shown in dashed lines in the sketch below) with initial dimensions of 0.5 x 0.5 inch is drawn on the surface of a thin aluminum structure (E = 10x10 6 psi, v =

Rigid bodies, A sign of uniform density weighs 270 lb and is supported by a...

A sign of uniform density weighs 270 lb and is supported by a ball-andsocket joint at A and by two cables. Determine the tension in each cable and the reaction at A.

Direct and bending stress, a masonry pier 3m*4m supports vertical load of 6...

a masonry pier 3m*4m supports vertical load of 600kn at point (1.2,1),find stresses at corner of pier

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd