Determine the maximum stress intensities, Mechanical Engineering

Determine the maximum stress intensities:

A rolled steel I-section, flanges 150 mm wide & 25 mm thick, web 200 mm long & 10 mm thick  is utilized to carry & axial load of 800 kN. The load line is eccentric, 50 mm above XX & 30 mm to the left of yy. Determine the maximum & minimum stress intensities in the section.

2349_Determine the maximum stress intensities.png

Figure

 

Solution

Area of the cross-section, A = 2 × (150 × 25) + (200 × 10) = 9500 mm2

Moment of inertia about XX-axis,

 I xx     = 150 × 250/12 - 140 (20)3/12

= 8565 × 104  mm4

Moment of inertia about YY-axis,

I yy =2 × (25 × 1503 )/ 12       -200 (10)3/12 = 1407 × 104  mm4

Eccentricity,

ex  = 50 mm

ey  =- 30 mm

Vertical load, W = 800 kN

Direct stress at any point, f0  = P/A    =800 × 103/9500

            = 84.2 N/mm2

Maximum bending compressive stress shall take place at edge 4 of the section in Figure

 = ( fb )4  = ((P × ex /Ixx) × y )+(( P × ey/ I yy )× x)

= (800 × 103 × 50/ 8565 × 104) × (- 125) +( 800 × 103 × (- 30) /1407 × 104) × 75

= 186.4 N/mm2

Maximum bending tensile stress shall take place at edge 2 at the section.

 ( f b )2  =( 800 × 10 3 × 50)/( 800 × 104 ))× (- 125)

                    +( 8565 × 103 (- 30)/ (1407 × 104 ))× 75

              = - 18.64 N/mm2

In the section Resultant stress would be as follows:

Maximum at corner 4 = 84.2 + 186.4 = 270.6 N/mm2

Minimum at corner 5 = 84.2 - 186.4 = - 102.2 N/mm2          (tensile)

Posted Date: 1/21/2013 7:18:28 AM | Location : United States







Related Discussions:- Determine the maximum stress intensities, Assignment Help, Ask Question on Determine the maximum stress intensities, Get Answer, Expert's Help, Determine the maximum stress intensities Discussions

Write discussion on Determine the maximum stress intensities
Your posts are moderated
Related Questions

The rigidly jointed frame shown in Figure has bending stiffnesses such that EI AB = 1000kNm 2 and EI BC = EICD = 1600kNm 2 . (i) Determine the joint rotations at B and C.

Continuous Furnace: Parts to be treated are situated on several sort of conveyor that move into the furnaces as per to programmed heating cooling cycle. The time for unloadin

I have homework needs to be solved anyone able to help there ?

The four masses m1, m2, m3 and m4 having their radii of rotation as 200mm, 250mm, 150mm, 250mm and 300mm are 200kg, 300kg,240kg and 260kg in magnitude respectively. The angles betw

(a) Illustrate self-locking and self-energizing brakes. (b) The diameter of the drum is 250mm and the angle of contact is 90 o , If the operating force of 700 N is applied at th

what are the forces acting on workpiece during turning process. how workpiece should be clamp

Resistor: The wire that opposes (resists) the flow of current through it by virtue of its property is called resistor. This property is known as resistance. The resistance is

Q. Explain the working of Die Casting? In the die casting process the, mould used for a casting is permanent called a die casting. it is shown in figure. It is thus quite diffe

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