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

Maths, Physical meaning of gradient of 2 nd order tensor?

Physical meaning of gradient of 2 nd order tensor?

Determine the stresses in the shell, Determine the stresses in the shell: ...

Determine the stresses in the shell: A cylindrical boiler is 2.5 m in diameter and 20 mm in thickness and it carries steam at a pressure of 1.0 N/mm2. Determine the stresses i

Define phase, Define Phase. A phase is a quantity of matter that is hom...

Define Phase. A phase is a quantity of matter that is homogeneous during in chemical composition and physical structure. Determine if the matter is all gas, all liquid or all s

Explain working of nozzles, Q. Explain working of Nozzles? Nozzles supp...

Q. Explain working of Nozzles? Nozzles supporting agitators, pumps, or other mechanical equipment, shall be suitably reinforced to withstand the mechanical loadings, specified

What is stormwater treatment, Q. What is Stormwater Treatment? Normally...

Q. What is Stormwater Treatment? Normally, stormwater run-off from process areas needs to be collected and treated before being discharged to land or water. Often, large aerobi

Thermodynamics project , ES 347 - Thermodynamics Project Assigned: 3/28/201...

ES 347 - Thermodynamics Project Assigned: 3/28/2013 Due: 4/25/2013 Problem specification 5 kg of air is contained in a piston-cylinder device, initially at a pressure of 2MPa and a

Locomotive boiler, advantages and disadvantages of locomotive boiler

advantages and disadvantages of locomotive boiler

Thermodynamics, what is dryness fraction of dry air

what is dryness fraction of dry air

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