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A Rectangular Beam with Semicircular Notches Has Dimen- Sions h=160 mm and h1=140 mmh=160 \mathrm{~mm} \text { and } h_{1}=140 \mathrm{~mm}

Question 77

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A rectangular beam with semicircular notches has dimen- sions h=160 mm and h1=140 mmh=160 \mathrm{~mm} \text { and } h_{1}=140 \mathrm{~mm} . The maximum allowable bending
Stress in the plastic beam is σmax=6.5MPa\sigma_{\max }=6.5 \mathrm{MPa} , and the bending moment
Is M=185 NmM=185 \mathrm{~N} \cdot \mathrm{m} . The minimum permissible width of the beam is: (A) 12 mm 12 \mathrm{~mm}
(B) 20 mm 20 \mathrm{~mm}
(C) 28 mm 28 \mathrm{~mm}
(D) 32 mm 32 \mathrm{~mm}

 A rectangular beam with semicircular notches has dimen- sions  h=160 \mathrm{~mm} \text { and } h_{1}=140 \mathrm{~mm}  . The maximum allowable bending Stress in the plastic beam is  \sigma_{\max }=6.5 \mathrm{MPa}  , and the bending moment Is  M=185 \mathrm{~N} \cdot \mathrm{m}  . The minimum permissible width of the beam is: (A)   12 \mathrm{~mm}   (B)   20 \mathrm{~mm}   (C)   28 \mathrm{~mm}   (D)   32 \mathrm{~mm}      FIG. 5-50 Stress-concentration factor K for a notched beam of rectangular Cross section in pure bending (h = height of beam; b = thickness of beam, Perpendicular to the plane of the figure). The dashed line is for semicircular  \left(h=h_{1}+2 R\right)   FIG. 5-50 Stress-concentration factor K for a notched beam of rectangular
Cross section in pure bending (h = height of beam; b = thickness of beam,
Perpendicular to the plane of the figure). The dashed line is for semicircular (h=h1+2R)\left(h=h_{1}+2 R\right)

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