What's the answer to the questions above?

Thank you

Notes: (1) Label all your solutions, namely: (a), (b), (e) .... (g) individually for all items. (2) Box the final answers for each. (3) Refer to the Class Notes where a similar problem is solved. Also, refer to Class Notes for the Virtual Work procedure applied to trusses. (4) Because of the 4" thickness of the arch section, the arch must be braced to prevent premature failure by lateral buckling. (5) Calculation of the critical load that will cause buckling of the arch in its own plane must be performed. The critical load must be at least twice the service load, i.e., 60 kips in this case. This task will be done in a later assignment. Problem in 7 parts (a - g) at 100 pts each. Part (h) is optional and carries no value. A three-hinged glulam arch is to be designed to support the two concentrated unequal service loads shown in the figure below. The design calls for an anti-funicular arch to be subjected only to thrust N (and not to moments M and shears ) for the given loads. The self-weight of the arch has been included in the given loads. 20 k 10 k B B HINGE 32 ft. rc D 40 ft. 20 ft. 40 ft. 100 ft. (a) For the given loads, calculate the distance re such that Nx) > 0, but M(x) = 0 and Q(x) = 0 throughout the arch length. (b) Calculate the support reactions V and H (k). (c) Calculate the thrusts N (k) in members AB, BC and CD. (d) Calculate the initial member lengths (in.) and member axial deformations (in.). (e) Use the Virtual Work Method to calculate AB, the vertical deflection at B. Use a 4 x 12.5" glulam section (A = 50inand E = 2000 ksi) for all members of the arch. (t) Calculate the maximum compression stress in the arch. (g) After solving (b), (c), (d), (e) and (f) by hand, verify Ap result using SAP2000 program. Compare with the result for AB in (e). Upload the .sdb SAP model file along with your solutions. (h) Assume support D is a roller on a horizontal plane. Also, assume supports A and D are now tied by a horizontal steel rod (A = 1 in.?, E = 29,000 in?). Calculate Ab and compare with the results obtained in (e) and (g). Notes: (1) Label all your solutions, namely: (a), (b), (e) .... (g) individually for all items. (2) Box the final answers for each. (3) Refer to the Class Notes where a similar problem is solved. Also, refer to Class Notes for the Virtual Work procedure applied to trusses. (4) Because of the 4" thickness of the arch section, the arch must be braced to prevent premature failure by lateral buckling. (5) Calculation of the critical load that will cause buckling of the arch in its own plane must be performed. The critical load must be at least twice the service load, i.e., 60 kips in this case. This task will be done in a later assignment. Problem in 7 parts (a - g) at 100 pts each. Part (h) is optional and carries no value. A three-hinged glulam arch is to be designed to support the two concentrated unequal service loads shown in the figure below. The design calls for an anti-funicular arch to be subjected only to thrust N (and not to moments M and shears ) for the given loads. The self-weight of the arch has been included in the given loads. 20 k 10 k B B HINGE 32 ft. rc D 40 ft. 20 ft. 40 ft. 100 ft. (a) For the given loads, calculate the distance re such that Nx) > 0, but M(x) = 0 and Q(x) = 0 throughout the arch length. (b) Calculate the support reactions V and H (k). (c) Calculate the thrusts N (k) in members AB, BC and CD. (d) Calculate the initial member lengths (in.) and member axial deformations (in.). (e) Use the Virtual Work Method to calculate AB, the vertical deflection at B. Use a 4 x 12.5" glulam section (A = 50inand E = 2000 ksi) for all members of the arch. (t) Calculate the maximum compression stress in the arch. (g) After solving (b), (c), (d), (e) and (f) by hand, verify Ap result using SAP2000 program. Compare with the result for AB in (e). Upload the .sdb SAP model file along with your solutions. (h) Assume support D is a roller on a horizontal plane. Also, assume supports A and D are now tied by a horizontal steel rod (A = 1 in.?, E = 29,000 in?). Calculate Ab and compare with the results obtained in (e) and (g)