Calculate the greatest stress - plate, Mechanical Engineering

Assignment Help:

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).


Related Discussions:- Calculate the greatest stress - plate

CAPP, Applications of capp

Applications of capp

Low alloy creep resisting and electrodes for cryogenic , LOW ALLOY CREEP RE...

LOW ALLOY CREEP RESISTING ELECTRODES AND ELECTRODES FOR CRYOGENIC APPLICATIONS The flux coating contains small amount of alloying elements like Cr, Mo and sometimes V for creep r

Door strap pull force, A pull up door is stuck in the closed position. A st...

A pull up door is stuck in the closed position. A strap, fastened on the inside bottom and located at the center of the door is pulled outward at an angle of 45 deg above horizonta

Valve clearance and tappet adjustment, Valve Clearance and Tappet Adjustmen...

Valve Clearance and Tappet Adjustment: Like all metal components the valve expands on heating. Hence the valve clearance is set so that on expansion there is room for the valve to

Determine the resultant of the system of forces, Determine the resultant of...

Determine the resultant of the system of forces: Four forces act on a body as illustrated in Figure. Determine the resultant of the system of forces. Figure Sol

Calculate the period of vibration, (a) Show energy method and Rayleigh's me...

(a) Show energy method and Rayleigh's method for single degree of freedom system. Also discuss its application. (b) A sphere of diameter D floats half submerged in water. If the

Evaluate the shaft diameter on strength basis, The layout of a transmission...

The layout of a transmission shaft carrying two pulley C and B and supported on bearings A and D is shown in figure. Power is supplied to the shaft by means of vertical belt on pul

Necessity of electrical system , Necessity of Electrical System Li...

Necessity of Electrical System Lights and horn for safe riding of vehicle even at night. Electricity for ignition of fuel in the engine. Battery Charging.

Instantaneous center method, Linear velocity of links using Instantaneous c...

Linear velocity of links using Instantaneous center method

RC helicopter, how to make ? what are the components needed ?

how to make ? what are the components needed ?

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