To solve for forces in statically indeterminate bars r th axial loads Part A- Force with a known deflection When the number of reaction forces is greater than the number ot equibrium equations, the system is statically indeterminate Solving for the reactions requires some additional equations. These acditonal equations come from considering compatibility relationships (ie continuity of displacements and relalionships beten displacments and kss) The square bar shown (Figure 1) is 65 mm thick and 54 m long end is fixed supported at soth ends. A loac directed lewerd is applied al point C, s shuwn, L2= 4 m kori le lell ernd The modulus of ehasiiy is E= 100 GPa poinl C muves 5= 9x10 mm lo ihe lell, whs s he appled lace? Express your answer with appropriate units to three significant figures. View Available Hint(s) For an axially loaded member, the cnmpatihility relationship for the deflections can be written by setting the total relative anal displacement between the ends of the member to a known value The load- HA • O B ? NL givos another AE dispiacomont rolatonship 8 =E equation for the defiections. Once the internal normal forco ot cach sogmont is writton in torms of the ond reactions and applied loads, there is erough information to solve for the reactions F= 98.4 kN Previoua Answes Submit X Incorrect; Try Again: 3 attempts remaining Figure 1 of 2 > Part B- Reacton with a known oad Consider a new structure, where the thickness of the bar is recaced te 33 mm from C to Btis stil square) (Figure 2) and z-4m if the applied load is F= 350 EN, then what is the reaction at A? Lat a pesitive reaction ect to the rgat The total length is stil 54 m C B Express your answer with appropriate units to three significant figures. > View Available Hint(s) Part B- Reaction with a knovn load Learning Goal: lo solve tor torces in statically indetermınate tars wth Consicer a new structure, where the hickness of the bar s reduced to 33 mm trom C Bas sl square) (Figure 2) and 2= 4m if the app iod load sF= 350 kN ncn what s the rcaction at A? Let a positive rcacion act to tre rght The total length is stil 54 m axial loads When the number of reaction forces is greater than the number of equilibrium equations, the system is statically indeterminate. Solving for the reactions requires some additional equations These additional equations come from considering compatibility relationships (e continuity of displacements and relationships between displacements and loacs). Express your answer with appropriate units to three significant figures. •View Available Hints) For an axially loaded member, the compatibility relationship for the deflections can be written by setting the total relative axial displacement between the ends of the member to a known value. The load- F= Value Units dispiacement reistionship 8 =E NL gives another Submit cquation for the defioctions. Once the intemal normal force of each segment is written in tems of the end reactions and applied loads, there is enough information to solve for the reactions Part C- Load point for equal forces Consicer the structure from Part E (Figure 2) What value of z will lead to equal reacion forces at A and B? Express your answer in feet to three significant figures. Figure 2 of2 > View Available Hintsi B O AE I vec+ Submit