The instantaneous (short-term) deflections and long-term deflection are being investigated for the simply supported beam shown...

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The instantaneous (short-term) deflections and long-term deflection are being investigated for the simply supported beam shown in Figure 2. This beam supports a dead load (including the beam self-weight) of 1 kip per foot and a live load of 2 kips per foot. The self-weight of the beam need not be included again in your calculations. The span of the beam is 16 feet. fe b d h A₁ a) = 4,500 psi = 60,000 psi = 10 in. = 16 in. = 20 in. = 3 #8 bars Determine the maximum service load moment at the mid-span due to the dead load of 1 kip per foot (includes self-weight and superimposed dead load). (3 Points) b) Determine the moment of inertia of the gross section, the modulus of rupture for 4,500 psi concrete, and the cracking moment (Ma) based on the uncracked gross section properties. (9 Points) c) Determine the modular ratio (n), and the depth to neutral axis factor (k) from elastic analysis, and the moment of inertia of the cracked transformed section of the beam (l) (9 Points) d) Calculate the effective moment of inertia (4) based on Parts (a) through (c) and the short-term deflection at the mid-span due to the 1 kip per foot dead load. (9 Points) e) Determine I. of the beam cross-section corresponding to the moment caused by the dead load and live load acting together and determine the short-term deflection of the beam due to live load acting alone. (10 Points) f) Determine the total long-term deflection (duration over 5 years) due to the applied dead load, which also includes the self-weight, and the live load which is transient in nature. (10 Points) 10" 16'-0" Elevation and Reinforcement Arrangement Figure 2 (Not to Scale) 10" 10° Section Patnaik 20 The instantaneous (short-term) deflections and long-term deflection are being investigated for the simply supported beam shown in Figure 2. This beam supports a dead load (including the beam self-weight) of 1 kip per foot and a live load of 2 kips per foot. The self-weight of the beam need not be included again in your calculations. The span of the beam is 16 feet. fe b d h A₁ a) = 4,500 psi = 60,000 psi = 10 in. = 16 in. = 20 in. = 3 #8 bars Determine the maximum service load moment at the mid-span due to the dead load of 1 kip per foot (includes self-weight and superimposed dead load). (3 Points) b) Determine the moment of inertia of the gross section, the modulus of rupture for 4,500 psi concrete, and the cracking moment (Ma) based on the uncracked gross section properties. (9 Points) c) Determine the modular ratio (n), and the depth to neutral axis factor (k) from elastic analysis, and the moment of inertia of the cracked transformed section of the beam (l) (9 Points) d) Calculate the effective moment of inertia (4) based on Parts (a) through (c) and the short-term deflection at the mid-span due to the 1 kip per foot dead load. (9 Points) e) Determine I. of the beam cross-section corresponding to the moment caused by the dead load and live load acting together and determine the short-term deflection of the beam due to live load acting alone. (10 Points) f) Determine the total long-term deflection (duration over 5 years) due to the applied dead load, which also includes the self-weight, and the live load which is transient in nature. (10 Points) 10" 16'-0" Elevation and Reinforcement Arrangement Figure 2 (Not to Scale) 10" 10° Section Patnaik 20

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a Maximum service load moment at midspan due to 1 kipft dead load 1 kipft16 ft2 8 16 ki... View the full answer