Following data correspond to an orthogonal turning of a 100 {mm} diameter rod on a lathe. Rake angle: +15^{\circ}; Uncut chip thickness: 0.5 {mm}; nominal chip thickness after the cut: 1.25 {mm}. The shear angle (in degrees) for this process is __________(correct to two decimal places).

GATE Mechanical Engineering (ME) 2018 Shift 2 Solved Paper

Question : 55 of 65

Marks: +1, -0

Following data correspond to an orthogonal turning of a

100 {mm}

diameter rod on a lathe. Rake angle:

+15^{∘}

; Uncut chip thickness:

0.5 {mm}

; nominal chip thickness after the cut:

1.25 {mm}

. The shear angle (in degrees) for this process is __________(correct to two decimal places).

Solution:

r = chip thickness ratio

{t_{c}}/{t}=\;{0.5}/{1.25}=0.4

\tan \ϕ=\;{r \cos α}/{1-r \sin α}=0.43

\ϕ=23.26^{∘}

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