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Asolid rectangular rodhas a length of 90mm, made of steel material (E =207,000 MPa, Syield= 300 MPa), the cross section of the rod is shownbelow.If the boundary conditions are fixed-freeand a safety factor of 2 on loadis required, (1)Find themaximumallowable load (Pallowable)on the rod. [9points]{hint: Pallowable= Pcr/required safety factor}(2)If the same critical load (Pcr) calculated from (1)above(Pcrisalready taken into accounta safety factor of 2)is applied to a solid round rodunderthe same boundary conditions, what is the minimum required diameter of the rod against buckling? [9points]

User Niryo
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2 Answers

4 votes

Answer:

the answer is 13.6mm

Step-by-step explanation:

User Whme
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6 votes

Answer:

13.6mm

Step-by-step explanation:

We consider diameter to be a chord that runs through the center point of the circle. It is considered as the longest possible chord of any circle. The center of a circle is the midpoint of its diameter. That is, it divides it into two equal parts, each of which is a radius of the circle. The radius is half the diameter.

See attachment for the step by step solution of the problem

Asolid rectangular rodhas a length of 90mm, made of steel material (E =207,000 MPa-example-1
Asolid rectangular rodhas a length of 90mm, made of steel material (E =207,000 MPa-example-2
Asolid rectangular rodhas a length of 90mm, made of steel material (E =207,000 MPa-example-3
User Sachin Malhotra
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