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Semicircular grooves of radius r must be milled as shown
Chapter 4, Problem 4.63(choose chapter or problem)
Semicircular grooves of radius r must be milled as shown in the sides of a steel member. Using an allowable stress of 8 ksi, determine the largest bending moment that can be applied to the member when \(\text { (a) } r=\frac{3}{8} \text { in, (b) } r=\frac{3}{4} \text { in. }\)
Questions & Answers
QUESTION:
Semicircular grooves of radius r must be milled as shown in the sides of a steel member. Using an allowable stress of 8 ksi, determine the largest bending moment that can be applied to the member when \(\text { (a) } r=\frac{3}{8} \text { in, (b) } r=\frac{3}{4} \text { in. }\)
ANSWER:
Step 1 of 5
According to the task, it is necessary to determine the maximum magnitude of the moment . Observing the cross-sectional shape, the required stress concentration is read from Fig.4.25
The ratio is required to read the value for
Step 2 of 5
For a)
And
We find out as ,