Problem 5 – The 16 ft long compound beam shown below is supported by a fixed connection at the left end (Point A) and a roller at the right end (Point C). There is an internal hinge halfway across the compound beam at Point B (located 8 ft to the left of Roller C). Horizontal distances are L¡ = L2 = L3 = L4 = 4 ft. The compound beam supports a point load of P = 10 kips located halfway between Point A and Hinge B, and also supports a uniformly distributed load of w = 3.75 klft between Hinge B and Roller C. All regions of the compound beam have modulus of elasticity E = 29,000 ksi and moment of inertia I = 160 in“. Use the Method of Virtual Work to determine the vertical deflection at Point D (which is located halfway between Hinge B and Roller C). FIXED A B D

Problem 5 – The 16 ft long compound beam shown below is supported by a fixed connection at the left end (Point A) and a roller at the right end (Point C). There is an internal hinge halfway across the compound beam at Point B (located 8 ft to the left of Roller C). Horizontal distances are L¡ = L2 = L3 = L4 = 4 ft. The compound beam supports a point load of P = 10 kips located halfway between Point A and Hinge B, and also supports a uniformly distributed load of w = 3.75 klft between Hinge B and Roller C. All regions of the compound beam have modulus of elasticity E = 29,000 ksi and moment of inertia I = 160 in“. Use the Method of Virtual Work to determine the vertical deflection at Point D (which is located halfway between Hinge B and Roller C). FIXED A B D

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter10: Plate Girders

Section: Chapter Questions

Problem 10.7.9P

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Question

Problem 5 – The 16 ft long compound beam shown below is supported by a fixed connection at
the left end (Point A) and a roller at the right end (Point C). There is an internal hinge halfway
across the compound beam at Point B (located 8 ft to the left of Roller C). Horizontal distances
are Li = L2 = L3 = L4 = 4 ft. The compound beam supports a point load of P = 10 kips located
halfway between Point A and Hinge B, and also supports a uniformly distributed load of w =
3.75 klft between Hinge B and Roller C. All regions of the compound beam have modulus of
elasticity E = 29,000 ksi and moment of inertia I = 160 in“. Use the Method of Virtual Work to
determine the vertical deflection at Point D (which is located halfway between Hinge B and
Roller C).
FIXED
B
k-L ーLs -Ls

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