Steel Design (Activate Learning with these NEW titles from Engineering!)
Steel Design (Activate Learning with these NEW titles from Engineering!)
6th Edition
ISBN: 9781337094740
Author: Segui, William T.
Publisher: Cengage Learning
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Chapter 9, Problem 9.6.1P

Note For Problems 9.6-1 through 9.6-5, use the lower-bound moment of inertia for deflection of the composite section. Compute this as illustrated in Example 9.7.

9.6-1 Compute the following deflections for the beam in Problem 9.2-1.

a. Maximum deflection before the concrete has cured.

b. Maximum total deflection after composite behavior has been attained.

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CASE:A rectangular beam has the dimensions (see Fig.1) b = 15 in.,h = 30 in., and d = 27.37 in. and is reinforced with three No.9 bars. The concrete compressive strength fc' is 4000 psi, and the tensile strength in bending (modulus of rupture) is 475 psi. The yield point of the steel fy is 60,000 psi, the stress-strain curves of the materials being those of Fig.2. Determine the stresses caused by a bending moment M = 45 ft-kips.Question1:Check this case, would the concrete of the beam crack? Please calculate the strengths of those two materials in this beam.Question2:Suppose the beam under this case is subject to a bending moment M = 110 ft-kips (rather than45ft-kips as previously). Calculate the relevant properties and stresses.Question3:Determine the nominal moment Mn at which the beam of this case will fail. Question4:Have a comparison of the calculation results with those of three questions.
Please give the correct dolution and answer of this problem in principle of reinforced/presstressed concrete
Please show intermediate steps include free body diagrams, equations used, and problem setup so that your approach can be followed.
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