Knowing that the machine component shown has a trapezoidal cross section with a = 2.5 in. and b = 3.5 in., determine the stress at point A and at point B. Take M = 75 kip-in. B b B A 6 in. 4 in. * 4 The stress at point A is The stress at point Bis M ksi. ksi.
Knowing that the machine component shown has a trapezoidal cross section with a = 2.5 in. and b = 3.5 in., determine the stress at point A and at point B. Take M = 75 kip-in. B b B A 6 in. 4 in. * 4 The stress at point A is The stress at point Bis M ksi. ksi.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The diagram shows a machine component with a section marked \( A \) to \( B \). It has a trapezoidal cross section. The larger base of the trapezoid is labeled as \( b \) and equals 3.5 inches, while the smaller base, \( a \), is 2.5 inches. The height of the trapezoid is labeled \( h \) and is shown perpendicular to the bases. The length from point \( A \) to point \( C \) is 6 inches, and the length from point \( C \) to point \( B \) is 4 inches, making the total length from \( A \) to \( B \) 10 inches. A moment \( M \) is applied at the end of the component.
The stress at point \( A \) is [blank] ksi.
The stress at point \( B \) is [blank] ksi.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2e99635-9351-4a90-90be-f1d1f0c280c7%2F4f92d93f-a1d3-4b88-b2aa-bf2fa1be1342%2Fgvh65du_processed.png&w=3840&q=75)
Transcribed Image Text:Knowing that the machine component shown has a trapezoidal cross section with \( a = 2.5 \, \text{in.} \) and \( b = 3.5 \, \text{in.} \), determine the stress at point \( A \) and at point \( B \). Take \( M = 75 \, \text{kip-in.} \)
The diagram shows a machine component with a section marked \( A \) to \( B \). It has a trapezoidal cross section. The larger base of the trapezoid is labeled as \( b \) and equals 3.5 inches, while the smaller base, \( a \), is 2.5 inches. The height of the trapezoid is labeled \( h \) and is shown perpendicular to the bases. The length from point \( A \) to point \( C \) is 6 inches, and the length from point \( C \) to point \( B \) is 4 inches, making the total length from \( A \) to \( B \) 10 inches. A moment \( M \) is applied at the end of the component.
The stress at point \( A \) is [blank] ksi.
The stress at point \( B \) is [blank] ksi.
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