Documents

Assignment for IPE

Description
this is an assignment for solid mechanics
Categories
Published
of 4
All materials on our website are shared by users. If you have any questions about copyright issues, please report us to resolve them. We are always happy to assist you.
Related Documents
Share
Transcript
  ASSIGNMENT -1 ON ME 243 (IPE)Group- 1 : Roll 1108001~1108011 1. An angle bracket having thickness t = 0.5 in. is attached to the flange of a column by two 5/8-inch diameter  bolts see figure 1!. A uniformly distributed load acts on the to face of the bracket with a ressure  p = #00  si. $he to face of the bracket has length  L = % in. and width b = &.5 in. 'etermine the average bearing  ressure σ  b    between the angle bracket and the bolts and the average shear stress σ  aver   in the bolts. 'isregardfriction between the bracket and the column.!&. $he connection shown in the figure & consists of five steel lates( each #/1% in. thick( )oined by a single 1/*- in. diameter bolt. $he total load transferred between the lates is 1&00 lb( distributed among the lates asshown. a! +alculate the largest shear stress in the bolt( disregarding friction between the lates.b! +alculate the largest bearing stress acting against the bolt.   ,ig. for ue. o. 1 ,ig. for ue. o. & 3.   A cylindrical ressure vessel of length 1.& m and inner radius *00 mm is sub)ected to an internal ressure of 5 a. nowing that the thickness of the ressure vessel is at the ma2imum limit for a thin walled cylinder is to be considered( com ute the hoo stress and the elongation of the cylinder in its longitudinal direction due to the a lied ressure. $he material of the cylinder is steel. 4.   $he shaft shown in fig. * is securely fi2ed at A and is sub)ected to a tor3ue of 8 k.m. 4f ortion A is asolid shaft of 100 mm diameter and ortion + is hollow( with e2ternal diameter 100 mm and internaldiameter 65 mm( find the ma2imum shear stress develo ed in the shaft. Also find the values of ma2imumangle of twist. $ake 7 = 80 k/m & . ,ig. for ue. o. *,ig. for ue. o. 55.   A rigid bar of negligible weight is su orted as shown in ,ig. 5. 4f  = 80 k( and the rods are sub)ected to tem erature change of #0 0 +( determine the stress in and energy absorbed by the steel rod. Assume the coefficients of linear e2 ansion are 11.6 9m/m:;+! for steel and 18.< 9m / m:;+! for brone.%. 'raw the shear force and bending moment diagram for the beam loaded as shown in the fig. %.   ,ig. for ue. o. % ASSIGNMENT -1 ON ME 243 (IPE)Group- 1 : Roll 1108012~1108022 1. A uniform bar  AB of weight W = &5  is su orted by two s rings( as shown in the figure 1. $he s ring on the left has stiffness k  1 = #00 /m and natural length  L 1  = &50 mm. $he corres onding 3uantities for the s ring on the right are k  &  = *00 /m and  L &  =&00 mm. $he distance between the s rings is  L = #50 mm( and the s ring on the right is sus ended from a su ort that isdistance h = 80 mm below the oint of su ort for the s ring on the left. At what distance  x from the left-hand s ring should aload  P = 18  be laced in order to bring the bar to a horiontal osition>&. 4n the steel structure shown &( a 8 mm diameter in is used at A and 1&-mm-diameter ins are used at  and '. $he ultimate shearing stress is 100 a at all connections and the ultimate normal stress is &50 a in ?ach of the two links )oining  and '( determine the allowable load ( if an overall factor of safety of #.0 is desired.  ,ig. for ue. o. 1 ,ig. for ue. o. & #.   A cylindrical ressure vessel is fabricated from steel lating that has a thickness of &0 mm. $he diameter of the  ressure vessel is *50 mm and its length is &.0 m. 'etermine the ma2imum internal ressure that can be a lied if the longitudinal stress is limited to 1*0 a( and the circumferential stress is limited to %0 a.*.   A stiff bar of negligible weight transmits a load  to a combination of three s rings as shown in fig. $he s rings aremade u of the same material and out of wire of e3ual diameter. $hey are of the same length before loading. $henumber of coils in the three s rings are 10( 1&( and 15 res ectively( hile the mean radii are in the ratio of 1@ 1.& @1.* res ectively. ,ind the distance 2 such that the bar remains horiontal after a lying the load.  ,ig. for ue. o. *,ig. for ue. o. 5 5. A steel bar( 1 m in length and #5 2 #5 mm in cross-section( is rigidly attached to a wall at its right ends. 4ts other endis 0.5 mm from another rigid wall. 4f a 1&0-k a2ial force is attached to the bar at its mid oint and its tem erature isincreased %0 0 +( a! what will be the unit stress in each ortion of the bar> b! hat will be the unit stress in each  ortion of the bar if the wall A is removed other condition remains the same!> ? = &06 7/m & (  = 0.0000116/ 0 +.%. 'raw the shear force and bending moment diagram for the beam loaded as shown in the figure %. eglect the weightof the beam.   ,ig. for ue. o. % ASSIGNMENT -1 ON ME 243 (IPE)Group- 3 : Roll 1108023~1108031, 1008030, 0808030 1. +om ute the energy re3uired by the driver for the system shown in fig 1. $he load  a lied by the driver is 100 lb. A+ is a rigid bar and + is a wire whose total length is *0 in( diameter 0.08 in( and its materialBs modules of elasticity is 1& 2 10 %   si.  ,ig. for ue. o. 1 ,ig. for ue. o. & &. $hree wires connect two rings as shown in the figure. $heir characteristics are as follows@ 'etermine the tensile unit stress and the final length of wire CaD after a load of  = 1.5 k is a lied at the lower ring.#. A cylindrical steel ressure vessel *00 mm in diameter with a wall thickness of &0 mm( is sub)ected to an internal  ressure of *.5 /m&. a! +alculate the tangential and longitudinal stresses in the steel. b! $o what value may theinternal ressure be increased if the stress in the steel is limited to 1&0 /m&> c! 4f the internal ressure wereincreased until the vessel burst( sketch the ty e of fracture that would occur.*. A com ound shaft consisting of a steel segment and an aluminum segment is acted u on by two tor3ues as shown in ,ig. *. 'etermine the ma2imum ermissible value of $ sub)ect to the following conditions@ E st  F 8# a( E al  F 55 a( and the angle of rotation of the free end is limited to %;. ,or steel( 7 = 8# 7a and for aluminum( 7 = &8 7a.  ,ig. for ue. o. * ,ig. for ue. o. 5 5. A com osite round bar made u of aluminum and steel is held between two su orts as shown in the fig. $he barsare stress free at a tem erature of *0 0 +. hat will be the stresses in the two bars when the tem erature is &0 0 +( if the  su orts come nearer to each other by 0.1 mm. 4t can be assumed that the change of tem erature is uniform all alongof the length of the bar@ $ake? st  = &10 7/m & ( ? al  = 6* 7/m & (  st  = 11.6 2 10 -%   er 0 +(  al  = &#.* 2 10 -%   er 0 +( %. 'raw the shear force and bending moment diagram for the beam loaded as shown in the figure. eglect the weight of  the beam.  ,ig. for ue. o. %
We Need Your Support
Thank you for visiting our website and your interest in our free products and services. We are nonprofit website to share and download documents. To the running of this website, we need your help to support us.

Thanks to everyone for your continued support.

No, Thanks