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updated MEE342 HW1 again
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mee342_hw1_2026.md

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Images for Problems 2 and 3 are taken from Shigley's.
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### Problem 1 (10 Points)
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### Problem 1
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For the plane stress $\sigma_x = -8MPa$, $\sigma_y = 7MPa$, $\tau_{xy} = 6MPa$ cw,
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draw a Mohr's circle diagram properly labeled,
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Draw stress elements as in Fig. 3-11c and d (Shigley's) and label all details.
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### Problem 2 (30 Points)
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### Problem 2
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A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives power from a
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motor through a belt with the belt tensions shown. The power is transmitted through the shaft and
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<img src="/_images/mechdesign/hw1_3.png" alt="Drawing" style="height: 400px;"/>
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### Problem 3 (20 Points)
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### Problem 3
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The cantilevered bar in the figure is made from a ductile material and is statically loaded with
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$F_y = 200lbf$ and
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<img src="/_images/mechdesign/hw1_4.png" alt="Drawing" style="height: 400px;"/>
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### Problem 4 (20 Points for Part 1 and 2)
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### Problem 4
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Consider a cantilever beam as shown in the figure with length
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$l$ and the left end fixed to a wall.

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