Complete part of Question:
Assume a factor of safety of 3.0
The Maximum stress versus logarithm of the number of cycles to fatigue failure curve for 2014-T6 Aluminium bar is attached to this solution
Answer:
The maximum allowable load amplitude is 6403.33 N
Step-by-step explanation:
diameter of the bar, d = 12 mm
d = 0.012 m
Cross sectional area of the bar, A = πd²/4
A = π*0.012²/4
A = 0.000113 m²
From the Maximum stress versus logarithm of the number of cycles to fatigue failure for 2014-T6 Aluminium bar attached to this solution;
At 10⁷ cycles, Maximum stress, S = 170 MPa
S = 170 * 10⁶ Pa
Factor of safety, N = 3.0
The tensile stress is given by the formula:
The tensile stress is also given by:
F/0.000113 = 56.67 * 10⁶
F = 56.67 * 10⁶ * 0.000113
F = 6403.33 N
The maximum allowable load amplitude is 6403.33 N
Answer:
2x+8
2 is common
2(x+4)=0
Step-by-step explanation:
Answer:
Step-by-step explanation:
When the exponent is attached to the trig function like that, its essentially the same thing as taking the entire function to that power.
tan^2(x) = (tanx)^2
answer
10
step-by-step explanation
the equation given is sin(x) = cos(y) with x = 2k + 3 and y = 6k + 7
substitute in 2k+ 3 for x in sin(x) and substitute in 6k + 7 for y in cos(y)
sin(x) = cos(y)
sin(2k + 3) = cos(6k + 7)
we know that sin(x) = cos(90 -x)
sin(2k + 3)
= cos(90 - (2k + 3) )
= cos(90 - 2k - 3)
= cos(87 - 2k)
substitute this into the equation sin(2k + 3) = cos(6k + 7)
sin(2k + 3) = cos(6k + 7)
cos(87 - 2k) = cos(6k + 7)
87 - 2k = 6k +7
80 = 8k
k = 10
Answer:
60 ; - 40 ; 22 ; - 11
Step-by-step explanation:
Given that:
Number of questions = 20
Rules :
Every correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0 points.
It is possible to finish the quiz with a negative score.
a)
Maximum score : answering all questions correctly :
(3 points * 20 questions)
= 3 * 20
= 60 points
b)
Minimum score is obtainable by answering all questions incorrectly ;
(-2 points * 20)
= - 40 points
c)
10 correct answers = (3 * 10) = 30 points
(14 - 10) = 4 incorrect answers = (-2 * 4) = - 8 points
Net total = 30 + (-8) = 30 - 8 = 22 points
d) Another student answers 18 questions,
5 are correct. How many points does she score?
5 correct answers = (5 * 3) = 15 points
(18 - 5) incorrect answers = (13 * - 2) = - 26 points
Net total = 15 + (-26) = - 11 points
