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

Draw the gas welding system, Draw the Gas welding System and label its part...

Draw the Gas welding System and label its parts. Illustrate the several types of flames used in gas welding along with temperature range.

Belt tension for v-belt, Belt tension for V-belt: What is V-belt. Dri...

Belt tension for V-belt: What is V-belt. Drive expression of Ratio in belt tension for V-belt Sol: The power from one shaft to the other shaft can be transmitted with t

Angle of twist is zero on the shaft, Angle of twist is zero on the shaft: ...

Angle of twist is zero on the shaft: A shaft 10 m long and 100 mm diameter during its length is fixed at the ends and is subjected to two opposite torques of 8 kN-m and 10 kN-

Electric Vehicle:, The Nissan leaf has a battery size of 24 kWh and autonom...

The Nissan leaf has a battery size of 24 kWh and autonomy of 84 miles.

Determine forces in members of cantilever truss, Determine  forces in memb...

Determine  forces in members of cantilever truss: Determine  forces  in  members   B C   and  BD   of   cantilever truss  shown  in  the figure in the figure given below.

Steels-plain carbon & c-alloy steels-titanium & its alloys, Steels ...

Steels Plain carbon & C - Mn steels : Because of low heat input, in as welded condition, the micro structures of the autogenous process welds predominantly show marten

Construct a plain scale, Construct a plain scale: The distance between...

Construct a plain scale: The distance between Indore and Bhopal is 180 kilometer. It is represented on the map via 9 centimeter. Construct a plain scale for such map, illustra

What is column and strut with example, Explain following a) Type of bea...

Explain following a) Type of beam b) What is column and strut with example. c) Type of load d) Define S.F. and B.M diagram. e) Write crippling load formula for a

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