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A hydraulic press exerts a total load of 3.5mega Newton this load is carried by two steel rods supporting the upper head of the press if the safe stress is 85 mega Pascal And young's modulus e=210 kilo Newton /mm^2 1)find the diameter of the rod to extension of each rod I a length of 2.5 meter?
Most Upvoted Answer
A hydraulic press exerts a total load of 3.5mega Newton this load is c...
Solution:

Given:

Total load = 3.5 Mega Newton

Safe stress = 85 Mega Pascal

Young's modulus = 210 Kilo Newton / mm^2

Length of each rod = 2.5 meters


Calculation:

Let the diameter of each rod be 'd'

Cross-sectional area of each rod = (π/4) * d^2

Load carried by each rod = Total load / 2 = 1.75 Mega Newton

Stress induced in each rod = Load carried by each rod / Cross-sectional area of each rod

Stress induced in each rod = (Load carried by each rod) / ((π/4) * d^2)

Stress induced in each rod = 1.75 * 10^6 / ((π/4) * d^2)

Safe stress = 85 Mega Pascal

Hence, 1.75 * 10^6 / ((π/4) * d^2) <= 85="" *="" 10^6="">

d^2 >= (1.75 * 10^6) / ((π/4) * 85 * 10^6)

d^2 >= 0.00206

d >= √0.00206

d >= 0.0454 meters

Extension in each rod = (Load carried by each rod * Length of each rod) / (Cross-sectional area of each rod * Young's modulus)

Extension in each rod = (1.75 * 10^6 * 2.5) / ((π/4) * (0.0454)^2 * 210 * 10^3)

Extension in each rod = 0.0045 meters


Answer:

Diameter of each rod = 0.0454 meters

Extension of each rod = 0.0045 meters
Community Answer
A hydraulic press exerts a total load of 3.5mega Newton this load is c...
1- d=161mm
2- ∆l=1.012mm
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A hydraulic press exerts a total load of 3.5mega Newton this load is carried by two steel rods supporting the upper head of the press if the safe stress is 85 mega Pascal And young's modulus e=210 kilo Newton /mm^2 1)find the diameter of the rod to extension of each rod I a length of 2.5 meter?
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A hydraulic press exerts a total load of 3.5mega Newton this load is carried by two steel rods supporting the upper head of the press if the safe stress is 85 mega Pascal And young's modulus e=210 kilo Newton /mm^2 1)find the diameter of the rod to extension of each rod I a length of 2.5 meter? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A hydraulic press exerts a total load of 3.5mega Newton this load is carried by two steel rods supporting the upper head of the press if the safe stress is 85 mega Pascal And young's modulus e=210 kilo Newton /mm^2 1)find the diameter of the rod to extension of each rod I a length of 2.5 meter? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A hydraulic press exerts a total load of 3.5mega Newton this load is carried by two steel rods supporting the upper head of the press if the safe stress is 85 mega Pascal And young's modulus e=210 kilo Newton /mm^2 1)find the diameter of the rod to extension of each rod I a length of 2.5 meter?.
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