Problem 2 20 points a piece of 50 by 250 by 10 mm steel...

Name: problem 2 20 points a piece of 50 by 250 by 10 mm steel plate is subjected to uniformly distributed stresses along its edge let e 200 gpa and v 025 a if px 100 kn and py 200 kn what is the 63292
Uploaded: 2022-05-28T07:02:24-08:00
Duration: 3 min 54 s
Channel: Sri K
Description: problem 2 20 points a piece of 50 by 250 by 10 mm steel plate is subjected to uniformly distributed stresses along its edge let e 200 gpa and v 025 a if px 100 kn and py 200 kn what is the 63292

Problem 2 [20 Points] A piece of 50 by 250 by 10 mm steel plate is subjected to uniformly distributed stresses along its edge. Let $E = 200$ GPa and $v = 0.25$. (a) If $P_x = 100$ kN and $P_y = 200$ kN, What is the change in thickness? (b) To Cause the same change in thickness by $P_x$ alone, what must be its magnitude?

A square plate of width $b$ and thickness $t$ is loaded by normal forces $P_{x}$ and $P_{y}$ and by shear forces $V,$ as shown in the figure. These forces produce uniformly distributed stresses acting on the side faces of the plate. (a) Calculate the change $\Delta V$ in the volume of the plate and the strain energy $U$ stored in the plate if the dimensions are $b=600 \mathrm{mm}$ and $t=40 \mathrm{mm} ;$ the plate is made of magnesium with $E=41$ GPa and $v=0.35$ and the forces are $P_{x}=420 \mathrm{kN}, \bar{P}_{y}=210 \mathrm{kN},$ and \[ V=96 \mathrm{kN} \] (b) Find the maximum permissible thickness of the plate when the strain energy $U$ must be at least 62 I. (Assume that all other numerical values in part (a) are unchanged.) (c) Find the minimum with $b$ of the square plate of thickness $t=40 \mathrm{mm}$ when the change in volume of the plate cannot exceed $0,018 \%$ of the original volume.

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