Question

Figure A shows the High Level Twin Balanced Cantilever Bridge over river Narmada in Mandala, Madhya Pradesh in India. The total span of the bridge is 120 meters, with the following arrangement (from left to right span): 25 meters (span AB), 30 meters (span BC), 40 meters span (CD), and 25 meters (span DE). Assuming that the left end of the bridge is supported with a fixed support and its right end is placed just above the surface of the finished ground of the right terrain, complete the following tasks:

1. Draw the idealized structure as a single beam system, based on the figure and on the given conditions above.

SPAN	EI	APPLIED LOAD
AB	4EI	Rectangular load, w
BC	3EI	Rectangular load, 2w
CD	3EI	Triangular load, zero at C and w at D
DE	4EI	Point load at the free end, 4w

2. Determine the magnitude w after 4 cycles of MDM, if a) the shear stress do not exceed 45 MPa at any point on the bridge; and b) the bending stress at any point on the bridge is not greater than 250 MPa. Assume the values on the table below.

FIGURE A Souro: bttp://spsingla.com Figure A shows the High Level Twin Balanced Cantilever Bridge over nver Namada in Mandala, Madhya Pradesh in India. The total span of the bถdge is 120 meters, with the follow ng arrangement (from left to nght span): 25 meters (span AB), 30 meters (span BC), 40 meters span (CD), and 25 meters (span DE). Assuming that the left end of the bridge is supported with a £xed support and its right end is placed just above the surface of the finished ground of the right terrain, complete the following tasks: 1. Draw the idealized structure as a single beam system, based on the figure and on the given conditions above 2 Determine the magnitude watter4 cycles of ADA, if a) the shear stress do not exceed 45 MPa at any point on the bridge, and b) the bending stress at any greater than 250 MPa table below. point on the baidge is not Assume the values on the SPAN EI APPLIED LOAD AB 4EI Rectangular load, w Rectangular load, 2w BC JEI CD EITiangular load, zero at C and w at D 4EI DE 4w

Answer 1

0 w member enel momenB oo pos ve, ixed End Momentk- 1 2 12 1 2 fcの

DC 2 2 o oints Members Ke let со 1.0千EE o 615 AGEL) o.385 3 0 30 0.429 A o O. ET C.385 40 OE 25 25

Moment is buhon Tsble oihs 53 33, 0 FEm 5 08352-o83o-150. 5ocs e lea52 :0 -5201422 60 22 bal Gel 8.49- R al -33132 4256 1O

32.4Pu 9.68 1223

Maximum tan at- supports = 132Mw Chogging) Maximum M shem wp 8 eshet Sechon modulus Celcshc modulus and Sechen be (clo)kto、hen (e (an