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ENGR202_Spr_08_Prelim_2_Solutions_4_1_08

# ENGR202_Spr_08_Prelim_2_Solutions_4_1_08 - Section ENGRD...

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Unformatted text preview: Section # ENGRD 202 Solid Mechanics Prelim 2 April 1, 2008 P10 Squ‘I‘iot/LS. Student name (please print) 1 hr and 45 minutes exam Academic integrity is expected of all students at all times whether in the presence or absence of members of the faculty. You should not give, use or receive unauthorized aid in this test. Problem 1. [15p] Determine the axial force in bars CD and BF. Specify if tension or compression. Pin at E, roller at F. Problem 2. [20p] Determine the support reaction at pins A and C function of P, M and R. For P=10kN and R=5m determine M such that the horizontal reaction at C is zero. Pin at A, C and B Problem 3. [15p] In the structure shown all pins used (pin at A, pin at B and pin at D) have 10mm diameter, and force P=10kN. (a) Detemiine the shear stress in pin at D (b) Determine the normal stress in bar BD Problem 4. [30p] The ﬁxed-end bar ABCD made of steel, E=200 GPa, consists of three prismatic segments, as shown in the ﬁgure. The end segments have cross-sectional area A.= 800mm and length L.=200 mm. The middle segment has cross-sectional area A2= 1600mm2 and length L2=400 mm. Loads PB and PC are equal to lOkN and 50kN, respectively. (a) Determine the reactions RA and RD at the ﬁxed supports. (b) Determine the compressive axial force in the middle segment of the bar. (c) Determine the displacement 8c of point C. Problem 5. [20p] A steel rod of diameter 15mm 15 held snugly (but without any initial stresses) between rigid walls by the arrangement shown m the ﬁgure. Calculate the temperature drop AT (degrees Celsius) at which the average shear stress in the 12-mm diameter bolt becomes SOMPa For rod material a=12x10 °l°C and E= zoo GPa. Determine the normal stress in the rod due to the temperature drop. Useful formulas: t=V/A, 8T = (1A1; 8p= PL/EA I;—-6ft—I::5ll-°I‘-Gft Top view r400 mm—oI—ISO mm-~I12 mm Ill lap) ‘1...— 12 mm diameter bolt Mp‘J‘Q‘ 01" M 1‘ ' [3060/1 Pea—r maker“? . p» (9- d? ﬁb‘ewwluu ...
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ENGR202_Spr_08_Prelim_2_Solutions_4_1_08 - Section ENGRD...

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