Exam 2 Solution

# Exam 2 Solution - H EGM 3520 Examz Spring 2010 Section 1585...

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Unformatted text preview: H; EGM 3520 Examz Spring 2010 Section: 1585 or 1586 (circle one) properties as shown below to the right. Also, it is knovm that the support reaction at A is 18 kips and that the sopport reaction at D is 26 kips. a) Plot accurate shear force and bending moment diagrams for the loading shoWn, Use the axes provided and label key values. ’ I ' i 13) Assuming elastic behavior, ﬁnd the maximum tensile stress in the beam. c) Now: suppose that the beam material is elostoplostic and that the loading has been increased so that the maximum plastic moment has been reached. Show (with dimensions) the new location of the neutral axis. .1 L6 x 4 x 3/4 E t ‘ - 1924.5 in“ - - l" 1M2 m i 20 kips 12 kips 1.5 kipslft Controld newnswirw a - ass in. . _ , psWOzﬁ-Dﬁ... mom..." I") Gamma/E" M 1 @Di Ems/a '—"— #glwicf Mi: 3?.» 1m 2 , annals/saw a New 5 - s. c») ms area :: 4.675).; 3.25575) : 5333‘s”; aggﬂ sprite/5a .753 -:: 3.45975 , 13:04:25 ’ é—‘S‘ilpﬂg £1.375m. EGM 3520 Exam 2 Spring 2010 Section: 1585 or 1586 (circle one): Problem 2. (33 pts) The wooden I beam loaded and supported as shown below has been fabricated by joining four pieces of wood with glue joints as shown to the right. Evaluate the minimum shear strength (in kPa) required for the glue a) for the two glue joints at the top. is) for the single glue joint at the bottom. NAME (Last, First) 3kN 3kN ‘d _ nsmalﬁatls l M,___4____ 5M”; -.3-(s) n Jay-.0210 +0)e=o +5 '3 =: 5005 H) 1:: 3.5+A—3—37‘5’ A, : 2.5.5111 3 '3 In ,3 . 29636)“ .262) “TE” W I“ s 955. 997;: 25%" 01.0 To}: 3PM“: 2': 3W”): 600.10“ 955' 397a23" (was) was?“ 19*) Bailey» 350+: I 21:.— ww (annexes): ‘ 755.307115‘ng) -' EGM 3520 Exam 2 Spring 2010 NAB/[E ('Last,First) Section: 1585 or 1586 (circle one) Problem 3. (34 pts) Using the maximum shear stress theory (Tresca criterion) and knowing that the yield stress for this material is 90 ksi, use the Mohr’s circle method to ﬁnd the maximum allowable value for oz which avoids yielding if: 3) oz is compressive (1'). b) 5; is tensile (+). c) On your ﬁrst Mohr’s circle, show the approximate position of the point corresponding to the stresses on the dotted plane shown in the element below. Label the point as the x face” and draw on your circle an are showing the number of degrees and the direction rotated sWay from the I: face. if 771275552: 25mm mews ‘7: 2 45%;. l I I 'l \ Myhp—{E th‘G’ﬂ-r l as 9: 25‘: we 60" (see lie-.4» Mm: dale) ...
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Exam 2 Solution - H EGM 3520 Examz Spring 2010 Section 1585...

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