The method of joints is one of the simplest methods for determining the force acting on the individual members of a truss because it only involves two force equilibrium equations. â· Since only two equations are involved, only two unknowns can be so
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Idea Transcript
6.6 COMPOSITE BEAMS •
Transformed homogeneous beam obtained through a transformation factor: Transformed-section method
EXAMPLE 6.17 A composite beam is made of wood and reinforced with a steel strap located on its bottom side. It has the cross-sectional area shown in Fig. 6–38a. If the beam is subjected to a bending moment of 2 kN•m, determine the normal stress at points B and C. Take Ew = 12 GPa and Est = 200 GPa.
h' y 0 :bh nAst (d h' ) 0 2 b i2 h nAst h' nAst d 0 2 '
EXAMPLE 6.18 The reinforced concrete beam has the cross-sectional area as shown. If it is subjected to a bending moment of M=60 kN•m, determine the normal stress in each of the steel reinforcing rods and the maximum normal stress in the concrete. Take Est =200 GPa and Econc = 25 GPa.
EXAMPLE 6.20 The transition in the cross-sectional area of the steel bar is achieved using shoulder fillets. If the bar is subjected to a bending moment of 5 kNㆍm, determine the maximum normal stress developed in the steel. The yield stress is σY = 500 MPa.