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Exam 2 Summer 09 - EGM 3520 Exam 2 Summer 2009 NAME(Last...

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Unformatted text preview: EGM 3520 Exam 2 Summer 2009 NAME (Last, First) 1. (34 points) Shear force and bending moment diagrams have been made for the inverted T-beam shown below (loading not shown). If the beam remains fully elastic, use these values to find a) The maximum tensile stress and its x position (in feet, measured from the left end) and its y position (look at the cross section to see “y” definition). ’ b) The maximum compressive stress and its x and y positi . c) If the beam becomes full :lastz'c at x = ’. after inc ' - asing the loading, will the neutral axis ; 27L 1) move up 0.75 in. -‘Q 3) main in the same place ? (CIRCLE ONE) d) Using your knowledge 0 e re ationship n loads and V and M diagrams, sketch on the/ original figure the loading required to cause the V and M diagrams shown. Give values. 3 ab c) Iffllebeambecomesfid ng- Halliflackldingwiflfllemduis 1) move up 0.75 in. 2) move down 0.755 3) ’- uam inthe same place ? (CIRCLE ONE) ' e re atlonship n loads and V and M diagrams, sketch on the/ original figure the loading required to cause the V and M diagrams shown. Give values. 3171’ a) I; “2:231(mans)?fizfiyiwmfi = 8 .mw : fl : -(52020§éz.§5) w 1: W “1475/“ won Q, ,JMX 3'63‘17K0>(‘h25) ’ WW 1 25. +147 by I : 85- LfiéVMfiL L/Camfré/ffbn 'M -(szozo)(4.zs) \ “TM“: 1 2 85.41.47 =~Z.5°HSL " ‘ M itk / EGM 3520 Exam 2 Summer 2009 NAME (Last, First) am mo 0k W sorting no: @ Problem 2 (33 pts) The cantilevered wooden I beam which is loaded as shown below has been fabricated from three boards glued together as shown to the right. If the allowable shear stress in the glue joints is 1875 psi and the allowable shear stress in the wood is 2000 psi, determine the maximum value for the distributed load w (in lb/in) such that the allowable shear stresses are not exceeded. lg/ ‘ W . (Lav memj PW ”Chg, w» anvil]? \/ LtO WEE? / ., \/ Ltmmw 18w «3 w: 22 3570/“ t r ‘ \ (,3: w» 2000= MO #35 M: W000!” tfl‘me = 1875033; {Wang : Z000 ff; w (lb/in.) 12 ”1 _MC ,MOAN-«a ‘1' \ q, 1 ———a 2000— 54 M’ZflOOO‘W’ 7’ ‘__,____v _- um "v1 L‘m'm ‘1‘,“ I l.“ “M0 ' Lmiiw sorting :0: C57) 3. (33 points) An eccentric force of 2500 lb. is applied as shown to a steel bar. The strain gages at A and B measure normal strains in the x direction. Knowing that E = 30 x 106 psi for a) Calculate the normal stresses in the x direction at A and B. b) Calculate the strains which would be measured at A and B. 03$ 2500 lb. ...
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