# A cylindrical specimen of Aluminium having a diameter of 12.8 mm and gauge length of 50.8 is pulled

A cylindrical specimen of Aluminium having a diameter of 12.8 mm and gauge length of 50.8 is pulled in tension. Use the data given below to:A) Plot the data as engineering stress versus engineering strain. B) Compute the modulus of elasticity. C) Determine the yield strength at a strain offset of 0.002. D) Determine the tensile strength of this alloy. E) What is the approximate ductility, in percent elongation?Load (N) Length0 50.8007330 50.85115100 50.90223100 50.95230400 51.00334400 51.05438400 51.30841300 51.81644800 52.83246200 53.84847300 54.86447500 55.88046100 56.89644800 57.65842600 58.42036400 59.182

## This Post Has 3 Comments

1. Sydewise9242 says:

a. Identify the cost hierarchy level for each cost category.

Direct materials purses  ⇒ Output unit-level cost

Direct materials backpacks ⇒  Output unit-level cost

Direct manufacturing labor purses ⇒  Output unit-level cost

Direct manufacturing labor backpacks  ⇒ Output unit-level cost

Setup ⇒  Batch-level cost

Shipping  ⇒ Batch-level cost

Design  ⇒ Product-sustaining cost

Plant utilities and administration ⇒ Facility-sustaining cost

b.

Setup $64,000 ⇒ number of batches (it's a batch level cost) Shipping$73,000   ⇒ number of batches (it's a batch level cost)

Design $169,000 ⇒ number of designs (it's logical, design costs must be allocated based on the number of designs) Plant utilities and administration$221,000  ⇒ hour of production (it involves the whole manufacturing process)

c.

Setup $64,000 / 200 batches =$320 per batch

Shipping $73,000 / 200 batches =$365 per batch

Design $169,000 / 4 designs =$42,250 per design

Plant utilities and administration $221,000 / 4,250 production hours =$52 per production hour

backpacks              purses                    total

Setup                    $38,400$25,600               $64,000 Shipping$43,800                $29,200$73,000

Design                  $84,500$84,500             $169,000 Plant U&A$86,580                 $134,420$221,000

totals                  $253,280$273,720           $527,000 d. total production costs for backpacks =$454,995 + $113,000 +$253,280 = $821,275 production costs per unit =$821,275 / 6,175 = $133 per backpack total production costs for purses =$319,155 + $99,000 +$273,720 = $691,875 production costs per unit =$691,875 / 3,075 = \$225 per purse

e. in order to reduce setup and shipping costs, the company needs to produce in larger batches so the total number of batches decreases.

2. elijahcarson9015 says:

Hello the needed data given is not properly arranged attached below is the properly arranged data

b) 62.5 * 10^3 MPa

c) ≈ 285 MPa

d)  370Mpa

e)  16%

Explanation:

Given Data:

cylindrical aluminum diameter = 12.8 mm

Gauge length = 50.8 mm

A) plot of engineering stress vs engineering strain

attached below

B ) calculate Modulus of elasticity

Modulus of elasticity = Δб / Δ ε

= ( 200 - 0 ) / (0.0032 - 0 ) = 62.5 * 10^3 MPa

C) Determine the yield strength

at strain offset = 0.002

hence yield strength ≈ 285 MPa

D) Determine tensile strength of the alloy

The tensile strength can be approximated at 370Mpa because that is where it corresponds to the maximum stress on the stress  vs strain ( complete plot )

E) Determine approximate ductility in percent elongation

ductility in percent elongation = plastic strain at fracture * 100

total strain = 0.165 , plastic strain = 0.16

therefore Ductility in percent elongation = 0.16 * 100 = 16%

$A cylindrical specimen of Aluminium having a diameter of 12.8 mm and gauge length of 50.8 is pulled$
$A cylindrical specimen of Aluminium having a diameter of 12.8 mm and gauge length of 50.8 is pulled$

3. kiaunarayne808 says:

166.4

Step-by-step explanation:

$12.8 \% \: of \: 1300 \\ \\ = \frac{12.8}{100} \times 1300 \\ \\ = 12.8 \times 13 \\ \\ = 166.4$