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Problem 1:

Using force method, determine the reactions at supports A and C in the shown beam and draw the bending moment diagram. Point B is an intermediate hinge. EI is constant.

2187_bending moment.jpg

Problem 2:

Using force method, determine the reactions at supports A, B, and C in the shown beam and draw the bending moment diagram due to:

• Settlement of support B equal to 0.25 in.
• Temperature increase of 200 °F at the soffit of beam AB. (ΔT = 200 °F)
• Settlement of support B of 0.25 in. and settlement of support C of 0.625 in.

Take E = 29 × 103ksi, I = 500 in.4, Coefficient of thermal expansion α = 6 × 10-6 /°F
(Solve each case separately)

957_thermal expresion.jpg

 Problem 3:
Using force method, determine the reactions at supports A, B, C, and D for the shown continuous beam. Draw the final bending moment diagram due to the applied loads.

166_final bending moment.jpg

Problem 4:
The Cantilevered beam is supported at one end by a 0.5-in.-diameter suspended rod BC and fixed at the other end A. Determine the force in the rod due to a uniform loading of 4 kip/ft.
E = 29 × 103ksi for both the beam and the rod. IAB = 350 in.4

1232_Cantilevered beam.jpg

Problem 5:

Using stiffness method for truss analysis, determine the forces in the truss members shown in the figure. The support at A is a hinged support, while the support at B is a roller support. EA is constant for all truss members.

877_truss members.jpg

Civil Engineering, Engineering

  • Category:- Civil Engineering
  • Reference No.:- M91300

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