A 20 mm diameter rod made of ductile material with a yield strength of 350 MN/m2 is subjected to a torque of 100 N.m, and a bending moment of 150 N.m. An axial tensile force is then gradually applied. What is the value of the axial force when yielding of the rod occurs using: a. The maximum-shear-stress theory b. The maximum-distortional-energy theory.

Answer: Advanced technologixal machines

Explanation: such as big cranes, multiple workers helping creat said structure, and big bull dozers

Answer:

the required time for the specimen is  1109.4 min

Explanation:

Given that;

diameter of metal alloy d₀ = 1.7 × 10² mm

Temperature of heat treatment T = 450°C = 450 + 273 = 723 K

Time period of heat treatment t = 250 min

Increased grain diameter 4.5 × 10² mm

grain diameter exponent n = 2.1

First we calculate the time independent constant K

dⁿ - d₀ⁿ = Kt

K = (dⁿ - d₀ⁿ) / t

we substitute

K = (( 4.5 × 10² )²'¹ - ( 1.7 × 10² )²'¹) / 250

K = (373032.163378 - 48299.511117) / 250

K = 1298.9306 mm²/min

Now, we calculate the time required for the specimen to achieve the given grain diameter ( 8.7 × 10² mm )

dⁿ - d₀ⁿ = Kt

t = (dⁿ - d₀ⁿ) / K

t = (( 8.7 × 10² )²'¹ - ( 1.7 × 10² )²'¹) / 1298.9306

t = ( 1489328.26061158 - 48299.511117) / 1298.9306

t = 1441028.74949458 / 1298.9306

t = 1109.4 min

Therefore, the required time for the specimen is  1109.4 min

Answer:

1040 steel will be a possible candidate for this application since : Yield strength > stress

Explanation:

The 1040 steel would  be a possible candidate for this application because the stress experienced by the load is Lesser than its Yield strength

Given that 1040 steel has the following parameter values

Modulus of elasticity ( GPa )  = 205

Yield strength ( Mpa ) =  450

Poisson's ratio = 0.27

limitation of = 1.5 x 10^-2 mm.

stress = Tensile load / area of steel

          = 18,000 N / 4.418 * 10^-5 m^2

          = 407 .424 Mpa

Answer:

a. 41

b. i. 15 mA ii. 625 mA

c. 192 Ω

Explanation:

Here is the complete question

A high-voltage discharge tube is often used to study atomic spectra. The tubes require a large voltage across their terminals to operate. To get the large voltage, a step-up transformer is connected to a line voltage (120 V rms) and is designed to provide 5000 V (rms) to the discharge tube and to dissipate 75.0 W. (a) What is the ratio of the number of turns in the secondary to the number of turns in the primary? (b) What are the rms currents in the primary and secondary coils of the transformer? (c) What is the effective resistance that the 120-V source is subjected to?

Solution

(a) What is the ratio of the number of turns in the secondary to the number of turns in the primary?

For a transformer N₂/N₁ = V₂/V₁

where N₁ = number of turns of primary coil, N₂ =number of coil of secondary, V₁ = voltage of primary coil = 120 V and V₂ = voltage of secondary coil = 5000 V

So,  N₂/N₁ = V₂/V₁

N₂/N₁ = 5000 V/120 V = 41.6 ≅ 41 (rounded down because we cannot have a decimal number of turns)

(b) What are the rms currents in the primary and secondary coils of the transformer?

i. The rms current in the secondary

We need to find the current in the secondary from

P = IV where P = power dissipated in secondary coil = 75.0 W, I =rms current in secondary coil and V = rms voltage in secondary coil = 5000 V

P = IV

I = P/V = 75.0 W/5000 V = 15 × 10⁻³ A = 15 mA

ii. The rms current in the primary

Since N₂/N₁ = V₂/V₁ = I₁/I₂

where N₁ = number of turns of primary coil, N₂ =number of coil of secondary, V₁ = voltage of primary coil = 120 V, V₂ = voltage of secondary coil = 5000 V, I₁ = current in primary coil and I₂ = current in secondary coil = 15 mA

So, V₂/V₁ = I₁/I₂

V₂I₂/V₁ = I₁

I₁ = V₂I₂/V₁

= P/V₁

= 75.0 W/120 V

= 0.625 A

= 625 mA

(c) What is the effective resistance that the 120-V source is subjected to?

Using V = IR where V =  voltage = 120 V, I = current in primary = 0.625 A and R = resistance of primary coil

R = V/I

= 120 V/0.625 A

= 192 V/A

= 192 Ω

Answer:

≈ 53 seconds

Explanation:

calculate Time required for the product to begin the falling-rate drying period

Initial moisture content =  0.77 kg water /kg of product

                                               = 3.35 kg water /kg solids

Critical moisture content = 0.3 kg water / kg product

                                         = 0.43 kg water / kg solids

∴ amount of water to be removed = 3.35 - 0.43 = 2.95kg water /kg solids

next: calculate surface are a of product during drying

= (0.05 * 0.05 ) * 6

= 0.015 m^3

Drying rate = 0.1 kg water m^2.s^-1 * 0.015 m^3 = 1.5 * 10^-3 kg water s^-1

applying product density

initial product mass = 0.11875 * 0.23 = 0.0273kg solid

hence total amount of water to removed = 2.92 * 0.0273 = 0.07972 kg

therefore : Time required for the product to begin the falling-rate drying period

= 0.07972 / 1.5 * 10^-3

= 53 seconds

Answer:

surface temp of fuel rod = 678.85 K

Explanation:

Given data :

D1 = 25 mm

D2 = 50 mm

T2 = 335 k

T∞ = 300 k

hconv = 0.15 w/m^2.k

ε2 = 0.05

ε1 = 1

Determine energy at Q23

Q23 = Qconv + Qrad

attached below is the detailed solution

Insert given values into equation 1 attached below to obtain the surface temperature of the fuel rod ( T1 )

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Answer:

A

Explanation:

Actually I don't know anything about American history, I chose it because South Africa is not in the least

Answer:

[tex]\mathbf{C_{10} = 137.611 \ kN}[/tex]

Explanation:

From the information given:

Life requirement = 40 kh = 40 [tex]40 \times 10^{3} \ h[/tex]

Speed (N) = 520 rev/min

Reliability goal [tex](R_D)[/tex] = 0.9

Radial load [tex](F_D)[/tex] = 2600 lbf

To find C10 value by using the formula:

[tex]C_{10}=F_D\times \pmatrix \dfrac{x_D}{x_o +(\theta-x_o) \bigg(In(\dfrac{1}{R_o}) \bigg)^{\dfrac{1}{b}}} \end {pmatrix} ^{^{^{\dfrac{1}{a}}[/tex]

where;

[tex]x_D = \text{bearing life in million revolution} \\ \\ x_D = \dfrac{60 \times L_h \times N}{10^6} \\ \\ x_D = \dfrac{60 \times 40 \times 10^3 \times 520}{10^6}\\ \\ x_D = 1248 \text{ million revolutions}[/tex]

[tex]\text{The cyclindrical roller bearing (a)}= \dfrac{10}{3}[/tex]

The Weibull parameters include:

[tex]x_o = 0.02[/tex]

[tex](\theta - x_o) = 4.439[/tex]

[tex]b= 1.483[/tex]

∴

Using the above formula:

[tex]C_{10}=1.4\times 2600 \times \pmatrix \dfrac{1248}{0.02+(4.439) \bigg(In(\dfrac{1}{0.9}) \bigg)^{\dfrac{1}{1.483}}} \end {pmatrix} ^{^{^{\dfrac{1}{\dfrac{10}{3}}}[/tex]

[tex]C_{10}=3640 \times \pmatrix \dfrac{1248}{0.02+(4.439) \bigg(In(\dfrac{1}{0.9}) \bigg)^{\dfrac{1}{1.483}}} \end {pmatrix} ^{^{^{\dfrac{3}{10}}[/tex]

[tex]C_{10} = 3640 \times \bigg[\dfrac{1248}{0.9933481582}\bigg]^{\dfrac{3}{10}}[/tex]

[tex]C_{10} = 30962.449 \ lbf[/tex]

Recall that:

1 kN = 225 lbf

∴

[tex]C_{10} = \dfrac{30962.449}{225}[/tex]

[tex]\mathbf{C_{10} = 137.611 \ kN}[/tex]