Calculate the greatest stress - plate, Mechanical Engineering

Calculate the greatest stress - plate:

A rectangular plate 10 mm thick within a hole of 50 mm diameter drilled on this is as shown in Figure 10. This is subjected to axial pull of 45 kN. Calculate the greatest and the least intensities of stress at the critical cross-section of the plate.

1539_Calculate the greatest stress.png

Critical Section along K - K

Figure

Solution

Area of section at the weakest point, A = (10 × 10) + (40 × 10) = 500 mm2 .

To situate the centroidal axes, taking moments around AB,

y1  = ((10 × 10) + (40 × 10 × 80)) /((10 × 10) + 40 × 10))= 65 mm bottom

Therefore,   y2  = 100 - 65 = 35 mm

Moment of inertia around xx-axis,

I xx       = (10 × 403 /12) + 40 × 10 × (35 - 20)2  + (10 × 103 )/ 12+ 10 × 10 × (65 - 5)2

= 50.42 × 104  mm4

Axial load, P = 45 kN = 45 × 103 N  (tensile)

Direct stress, f0  = P    =45 × 103/500 = 90 N/mm2 (tensile)

Eccentricity, e = 65 - 50 = 15 mm

Bending stress along edge, AB = (P × e/ I xx) × y

=(45 × 103 × 15) / (50.42 × 104) × (- 65)

=- 87 N/mm2 (compressive)

Bending stress along edge, CD = ( 45 × 103 × 15)/ (50.42 × 104)  × (35)

                                                 = 46.8 N/mm2 (compressive)

Maximum stress along edge, AB =- (90 + 87) = - 177 N/mm2 (tensile)

Minimum stress along edge, CD =- 90 + 46.8 = - 43.2 N/mm2(tensile).

Posted Date: 1/21/2013 7:11:06 AM | Location : United States







Related Discussions:- Calculate the greatest stress - plate, Assignment Help, Ask Question on Calculate the greatest stress - plate, Get Answer, Expert's Help, Calculate the greatest stress - plate Discussions

Write discussion on Calculate the greatest stress - plate
Your posts are moderated
Related Questions
A semi circular frame of flexural rigidity EI is built at A and caries a vertical load W at B. calculate the magnitude of the vertical and horizontal deflection at B and hence the

Piston and Piston Rings - Part of combustion engine: Piston: The piston reciprocates within cylinder and transmits force exerted by expanding gases to crank by means of conn

(a) What is the function of a spark plug? (b) What are the types of spark plugs? Point out the differences between them. (c) Describe the construction of a spark plug with th

Find the maximum shear stress at free end: A stepped shaft ABCD, with A is fixed end and D is free end. AB = 1 m, BC = 2 m, CD = 1 m. AB is a hollow shaft of 100 mm outer diam

What do you known by Investment casting ? What are main materials used for building the investment pattern ?

Find out the magnitude of the force to keep equilibrium: Th e lever ABC of a component of machine is hinged at point B , and is subjected to a system of coplanar forces.

how bike''s hydraulic shock absorbers work?

Q. Explain about Corrosion Rates? Corrosion rates of Corrosion data presented in these standards are in graphical form. The corrosion curves for the majority of the metals

Question 1: A good display of the merchandise is the result of planning, cooperation and coordinating. A good schedule of work is important for a good design with the use of me

explain working and construction of locomotive boilers