Figure 2 shows a simply supported beam and the cross section at mid span. The beam...
. Deisgn a reinforced concrete cross-section with unknown dimensions Problem 1 Design the steel reinforcement for the beam shown in Figure 1 that supports its own self-weight, a uninformly distributed dead load, a uniformly distributed live load, and a live point load located at midspan. In your solution, you should select the area of reinforcement, the number and size of reinforcing bars, and the section depth in order to receive full credit. Assume J 5,000 psi, fy 60,000 psi. 16...
The simply supported beam shown spans 20 ft and, in addition to its own weight carries a uniformly distributed service dead load of 1.75 kips/ft and a uniformly distributed live load of 3.0 kips/ft. Five no. 9 bars running the full length of the beam arc used as flexural reinforcement. Assume f,-60,000 psi and fc4000 psi, No. 3 stirrups are used. a. Determine the theoretical spacing of stirrups at the critical section using the detailed expression for the shear strength...
COURSE CE 3202 - Design of Concrete Structures SUBJECT HOMEWORK 4 DATE LECTURE # HW 4-2 A simply supported beam with the cross section shown in Fig. P9-5 has a span of 25 ft and supports an unfactored dead load of 1.5 kips/ft, including its own self-weight plus an unfactored live load of 1.5 kips/ft. The concrete strength is 4500 psi. Compute (a) the immediate dead load deflection. (b) the immediate dead-plus-live-load deflection. 16 No. 8 bars Fig. P9-5
WD= 1 k/ft WL 2.0 k/ft 17in 20 in 4 # 9 - 20 ft 12 in. 21 in. The simply-supported beam shown above is comprised of class 5000 concrete and grade 60 rebar. Assume that the beam uses #3 stirrups (not shown) and has 1.5" of concrete cover (to the stirrups) on all sides (a) (20%) Determine the maximum instantaneous deflection for the unfactored (i.e. "service") dead load WD= 1 k/ft WL 2.0 k/ft 17in 20 in 4 #...
5. Determine the mid-span short-term deflection of a simply supported beam with the section shown in Figure Q5. Design data: Concrete strength: fcu 30 MPa. Area of tensile steel reinforcement: As 1500 mm Area of compressive steel reinforcement: A,-1500 mm2 Instantaneous static modulus of elasticity of concrete = 25GPa. Span -8.0 m Loading: Dead load 5.0 kN/m (uniformly distributed load); Live load 5.0 kN/m (uniformly distributed load) (Hint: the height of neutral axis of the mid-span section under the service...
The T-beam shown in Figure 1 supports the un-factored dead load of 1.4 kips/ft and live load of 1.5 kips/ft. The dead load does not include the self-weight of the beam. The material properties are as follows: fc’=3000 psi; fy=60,000 psi. Design the shear reinforcement (stirrups). Plot the stirrups distribution along the span of the beam. DL= 1.4 kips/ft ; L2=1.5 kips/Ft * 75 Sz=7 X * b=3616. hr-6in k ) انا امه hw-lain + * bw=12 in
8-7 A rectangular beam with cross section b h=24 in., and d tored load of 3.9 kips/ft, including its own dead load. The beam is simply supported with a is reinforced with five No. 7 Grade-60 bars, two of which are cutoff between midspan and the and three of which extend 10 in. past the centers of supports. f= 4000 psi. (normal weight). The beam has Grade 60 No. 3 stirrups satisfying AC Code Sections 9.7.6.2.2 and 9.6.3.3. 14 in.,...
Please refer AISC 15th edition 3. A simply supported beam (W18x97) is 50-ft long and is restrained at the supports and at midspan. It carries a uniform dead load of 0.4 kips/ft plus beam weight, and a live load of 1.0 kips/ft. The steel is A992 and the method of analysis is LRFD. Determine if this shape and length is adequate to support this load. Also determine which controls: flexural strength or deflection. The limiting maximum live load deflection is...
A 26.0 ft. simply supported beam is subjected to factored uniformly distributed load of wa equal to 6.0 kips/t. Beam properties are as follows: b-14 in, d-24 in, 4,000 psi (normal-weight concrete) and fy -60,000 psi. Design shear reinforcement for the entire beam (you can use symmetry if applicable). Use two different spacings over the beam length to come up with economical design. Perform all necessary checks and calculations. Draw final design for shear ma reinforcement indicating distribution (i.e, lengths,...
10. A beam cross-section is limited to the size shown below. Determine the required area of reinforcement for service load moments Mp-430 ft-kip and M 175 ft-ki ksi. Note that the beam self weight is already included in the dead load moment. Assume that c 0.6c for the singly-reinforced part of the section (for your initial guess). Hint: first calculate the nominal moment resisted by the concrete section without compression steel. Check the strength only p.f -4,000 psi and f,-60...