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timama [110]
3 years ago
7

A bolt is tightened, subjecting its shank to a tensile stress of 80 kpsi and a torsional shear stress of 50 kpsi at a critical p

oint. All of the other stresses are zero. The material is a brittle material with Sut =80 kpsi and Suc =150 kpsi. Find the factor of safety at the critical point by the more conservative failure theory and determine if the bolt will fracture.

Engineering
1 answer:
Stolb23 [73]3 years ago
5 0

Answer:

factor of safety is 0.77

fracture of bolt will occur since principle stress exceeding бmax on the bolt.

Explanation:

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Ann [662]

Answer:

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Explanation:

Solution

Given that:

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Diameter of the tube, D = 1cm =0.01 m

Electrical heat rate, q =76 W/m

Wall Temperature, Ts = 370 K

Now,

From the properties table of engine oil we can deduce as follows:

thermal conductivity, k =0.139 W/m .K

Density, ρ = 854 kg/m³

Specific heat, cp = 2120 J/kg.K

(a) Thus

The wall heat flux is given as follows:

qs = q/πD

=76/π *0.01

= 2419.16 W/m²

Now

The oil mean temperature is given as follows:

Tb =Ts -11/24 (q.R/k) (R =D/2=0.01/2 = 0.005 m)

Tb =370 - 11/24 * (2419.16 * 0.005/0.139)

Tb = 330.12 K

(b) The center line temperature is given below:

Tc =Ts - 3/4 (qs.R/k)= 370 - 3/4 * ( 2419.16 * 0.005/0.139)

Tc =304.73 K

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Now,

The The axial gradient of the mean temperature is given below:

dTb/dx = 2 *qs/ρ *V*cp * R

=2 *qs/ρ*[m/ρ (πR²) *cp * R

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dTb/dx = 2 * 2419.16/[1.81 x 10^-3/(π * 0.005)]* 2120

dTb/dx = 19.81 K/m

(d) The heat transfer coefficient is given below:

h =48/11 (k/D)

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h =60.65 W/m². K

8 0
4 years ago
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