### Problem DescriptionA cantilever beam is supported by a column at its end, depicted in Figure (a) below. Figure (b) shows the cross-sectional view of the beam and the column. According to the applied moment at its end, three No. 10 bars are required at the top of the beam with an effective depth of 21 inches. Given material properties include:- For the beam, \( f'_{c} = 3000 \) psi (lightweight)- For the column, \( f'_{c} = 5000 \) psi (normal weight)- \( f_{y} = 60,000 \) psiAll bars are not epoxy-coated.### Tasks**(a)** Using ACI 318-19’s simplified equation, calculate the required development length in the beam for straight bars. Analyze whether the space in the beam is adequate to develop straight bars.**(b)** Considering that No. 3 U-stirrups with a constant spacing of 10.5 inches are used as shear reinforcement in the beam, and the concrete clear cover thickness is 1.5 inches, use Section 25.4.2.3 to recalculate the required development length of straight No. 11 bars. Determine if the space is adequate for straight bars in the beam. If not, provide recommendations for bar development in the beam. Sketch the bar layout according to ACI 318-19.### Diagram Explanation**Figure (a):** - Shows a side view of the cantilever beam and column.- The beam is 96 inches long.- The column is connected to one end of the beam, which has a width of 20 inches.**Figure (b):**- Displays the cross-sectional view of the beam.- The beam is 11 inches wide and 18 inches deep.- Three No. 10 bars are placed at the top of the beam with an effective depth of 21 inches. This problem assesses the ability to apply structural engineering principles to design beam reinforcement according to specific construction codes.

a) ACI 318 simplified equation.given db=1.41fy=60Ksifc'=5000Psi

A cantilever beam is supported by a column at its end as shown in Figure (a) below. Figure (b) below shows the cross sectional view of the beam and the column. Per the applied moment at its end, 3 No. 10 bars are required at the top of the beam with an effective depth = 21 in. Given: for the beam, fe' = 3000 psi (light weight), and fy = 60,000 psi; for the column, fe=5000 psi (normal weight). All the bars are not epoxy-coated. Per ACI 318-19's simplified equation, calculate the required development length in the beam for straight bars. Is the space in the beam adequate to develop straight bars? Knowing that the No. 3 U-stirrups with a constant spacing of 10.5 inches are used as the shear reinforcement in the beam and the concrete clear cover thickness is 1.5 inches, use Sec 25.4.2.3 to recalculate the required development length of straight No. 11 bars. Is the space adequate to develop straight bars in the beam? If not, provide your recommendation on how to develop the bars in the beam. Sketch the layout of the bars per AC1318-19.

A cantilever beam is supported by a column at its end as shown in Figure (a) below. Figure (b) below shows the cross sectional view of the beam and the column. Per the applied moment at its end, 3 No. 10 bars are required at the top of the beam with an effective depth = 21 in. Given: for the beam, fe' = 3000 psi (light weight), and fy = 60,000 psi; for the column, fe=5000 psi (normal weight). All the bars are not epoxy-coated. Per ACI 318-19's simplified equation, calculate the required development length in the beam for straight bars. Is the space in the beam adequate to develop straight bars? Knowing that the No. 3 U-stirrups with a constant spacing of 10.5 inches are used as the shear reinforcement in the beam and the concrete clear cover thickness is 1.5 inches, use Sec 25.4.2.3 to recalculate the required development length of straight No. 11 bars. Is the space adequate to develop straight bars in the beam? If not, provide your recommendation on how to develop the bars in the beam. Sketch the layout of the bars per AC1318-19.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: 1) A straight hollow shaft is fixed at one end and free at the other end. The shaft is made of…

Q: For beam shown, assume a is 2 ft and b is 1 ft. 300 lb w=-120 lb/ft 12 ft H 500 lb The Ix value for…

A: Given Data A cantilever beam with following data. Point load (P) = 300 lb UDL (w) = -120 lb/ft a = 2…

Q: Determine the max torque that can be applied to a bicycle crank arm . A fillet exists on the wall…

Q: Question The electric motor exerts 600 Nm torque on the aluminum shaft ABCD when it is rotating at a…

A: T = 600 Nm GBC = 16 GPa or 16000 MPa GCD = 12 GPa or 12000 MPa dBC = 30 mm

Q: b) With the vertical spring, determine the overall stiffness of the system with both the force and…

Q: Given the following beam details and loading, determine the following: b=2.13 inches h=4.35 inches…

A: As math type not available, providing handwritten solution

Q: The 10.5-kg uniform rod is pinned at end A. It is also subjected to a couple moment of 50 Nm. The…

A: Stiffness, k = 60 N/ m Mass of rod = 10.5 Kg

Q: 2. a) Draw a FBD and solve the support reactions of the pictured T-frame AED. b) Solve the internal…

Q: Determine the maximum bending moment magnitude for the beam shown below. Use a = 18 ft, b = 6 ft,…

A: Solution:- Bending moments at various sections: BMC=0BMB=-6×6×62 =-108 kip.ftBMA=-6×24×242+96×18 =0…

Q: X is L/2 For the frame shown above is constructed out of circular tubes for both the beam and…

Q: 04. The bars AB, AC, and AD are pinned together as shown in the figure. Horizontal movement of the…

A: Calculate axial force in the strut caused by 10kip load

Q: ٤/٣ Q6. In the structure, shown diagrammatically in the figure, all the rods are of steel, having…

A: The Truss StructureGiven:A truss structure with three steel rods (AB, BC, and AC).All rods have…

Q: Given the following. Determine the reactions of the beam. Please show all work and explain.

A: Please like if you are satisfied with the solution

Question

### Problem Description

A cantilever beam is supported by a column at its end, depicted in Figure (a) below. Figure (b) shows the cross-sectional view of the beam and the column. According to the applied moment at its end, three No. 10 bars are required at the top of the beam with an effective depth of 21 inches. Given material properties include:

- For the beam, \( f'_{c} = 3000 \) psi (lightweight)
- For the column, \( f'_{c} = 5000 \) psi (normal weight)
- \( f_{y} = 60,000 \) psi

All bars are not epoxy-coated.

### Tasks

**(a)** Using ACI 318-19’s simplified equation, calculate the required development length in the beam for straight bars. Analyze whether the space in the beam is adequate to develop straight bars.

**(b)** Considering that No. 3 U-stirrups with a constant spacing of 10.5 inches are used as shear reinforcement in the beam, and the concrete clear cover thickness is 1.5 inches, use Section 25.4.2.3 to recalculate the required development length of straight No. 11 bars. Determine if the space is adequate for straight bars in the beam. If not, provide recommendations for bar development in the beam. Sketch the bar layout according to ACI 318-19.

### Diagram Explanation

**Figure (a):**
- Shows a side view of the cantilever beam and column.
- The beam is 96 inches long.
- The column is connected to one end of the beam, which has a width of 20 inches.

**Figure (b):**
- Displays the cross-sectional view of the beam.
- The beam is 11 inches wide and 18 inches deep.
- Three No. 10 bars are placed at the top of the beam with an effective depth of 21 inches.

This problem assesses the ability to apply structural engineering principles to design beam reinforcement according to specific construction codes.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Cantilever beam

VIEW

Step 2: Development length

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

A uniform bar AB weighing 424 kN, is fastened by a frictionless pin to a block weighing 200 kN as shown in figure below. At the vertical wall, f = 0.268 while under the block f = 0.20. Determine the force P needed to start the motion to the right.
Please help me, the previous answer is wrong. ASAP. Thank you, I will like your answer if it is correct.
05 A steel shaft ABC of 50 mm diameter as shown in figure is driven at A by a motor that transmits 50 kW to the shaft at 10 Hz. The gears at B and C remove 30 kW and 20 kW respectively. Compute the maximum shear stress in the shaft and the angle of twist between the ends A and C. (Take G= 80 GPa) Motor A 1.0 m-1.2 m 50 mm B C
A portal frame shown in figure (not drawn to scale) has a hinge support at joint P and a roller support at joint R. A point load of 50 kN is acting at joint R in the horizontal direction. The flexural rigidity. El, of each member is 106 kNm². Under the applied load, the horizontal displacement (in mm, round off to 1 decimal place) of joint R would be Q P FIAT 5 m EI pole El 10 m R 50 kN
please solve it using FORCE METHOD. Thank you. only HANDWRITTEN answer needed ( NOT TYPED)
SHOW FBD DIAGARM
Find the maximum moment of the given load train at point n on the beam given in the figure? (Single load and distributed load train move on the beam. (a=9 m between n-A, b=3 m between n-B)
A simply supported steel beam is loaded with a uniformly distributed load and a torque. The beam has a U-shaped cross section, as shown. Determine the maximum normal compressive and tensile stresses caused by the acting loads. Express your answer in kgf/cm2 and in MPa.
Find the maximum moment of the given load train at point n on the beam given in the figure?
Give me right solution according to the question
the bell crank as shown in the figure is in equilibrium determine the shearing force in the pin D. Please include Free body diagram and show complete solution
Figure 6 demonstrates a cantilever shaft is fixed at A and free to rotate at its right end at F. The shaft is made from steel and consists of variable diameters. for segment CF, consists of a hollow shaft and has an inner diameter of 10mm. A torque of 150 Nm, 335 Nm, and 80 Nm is applied at B, D, and E respectively. The modulus of rigidity of shafts is 95GPa. i) determine the torsion for each segment ii) show the torsion diagram for shaft iii) determine the largest shear stress developed in the shaft iv) calculate the twist of the angle at points D and F for the shaft.