Question

In: Civil Engineering

A rectangular beam carrying a uniform load of 26 KN/m including its own weight is limited...

A rectangular beam carrying a uniform load of 26 KN/m including its own weight is limited in cross section to 300 mm x 500 mm. The beam is simply supported in a span of 6 m. Using fc = 7 Mpa, fs = 124 Mpa, n = 12, ?? = 40 ???, ?? = 1.7 ???, ?????? ?ℎ? ????. Allow 65 mm distance from centroid of steel bars to extreme fibers.

Solutions

Expert Solution


Moment M=

reinforcement ratio =

=1.2%

size of beam = bd

d = effective depth =D-d'-dia/2

take 20mm diameter bar

d required < d provided hence safe

122.38<500mm

d=500-65-20/2 =425mm

C=T

area of steel  As =

no of bar of 20mm diameter =

VVa =40Mpa

provide 2 legged striupp of 25m diameter

shear reinforcement

Smax =d/2=422/2 =211mm

or s =300mm

provided spacing of 300mm


Related Solutions

What is the maximum tension (kN) on a cable carrying 2.5 kN/m uniform load if the...
What is the maximum tension (kN) on a cable carrying 2.5 kN/m uniform load if the lowest point of the cable is 40m and 3m away from the one of the support along the horizontal and vertical direction respectively? Round off to 3 decimal places.
A simply supported flanged beam subjected to a factored load of 60 kN/m (including dead load...
A simply supported flanged beam subjected to a factored load of 60 kN/m (including dead load and live load). The beam has an overall depth of 600 mm including slab thickness of 100 mm. The width of the beam is 230 mm, effective span of the beam is 6.25 m and effective cover to the tension reinforcement is 50 mm. Assume M25 grade concrete and Fe415 steel. Check whether the beam needs to be designed as singly reinforced or doubly...
A simply supported beam 10m long carries a uniform load of 24 kN/m. Using E =...
A simply supported beam 10m long carries a uniform load of 24 kN/m. Using E = 200 GPa, I = 240x10^6 mm4 Using CBM (conjugate beam method): A. Determine the rotation (in degrees) of the beam at a point 4m from the left support. B. Determine the deflection at a point 4m from the left support.
A cantilever beam 4m long carries a uniform load of 3.5 kN/m over a portion 1.5m...
A cantilever beam 4m long carries a uniform load of 3.5 kN/m over a portion 1.5m from the free end. E = 200 GPa and I = 30 x 10^6 mm^4 Using Area Moment Method a. Determine the rotation at the free end. b. Determine the deflection at the free end A simply supported beam of length 7m has a concentrated couple Mo of 10kNm (Counterclockwise) applied at one end. Using Double Integration Method The maximum deflection is located at...
A cantilever beam 4m long carries a uniform load of 3.5 kN/m over a portion 1.5m...
A cantilever beam 4m long carries a uniform load of 3.5 kN/m over a portion 1.5m from the free end. E = 200 GPa and I = 30 x 10^6 mm4 Using AMM (Area Moment Method): Determine the rotation at the free end. Determine the deflection at the free end.
Select a solid, rectangular, Eastern hemlock beam for a 5m simple span carrying a superimposed uniform...
Select a solid, rectangular, Eastern hemlock beam for a 5m simple span carrying a superimposed uniform load of 4132 N/m
A long footing supports a wall carrying a load of 260 kN per m. The soil...
A long footing supports a wall carrying a load of 260 kN per m. The soil at the site is saturated clay having a undrained shear strength of 117 kPa. The unit weight of the clay is 22 kN/m³ and it is suspected that occasionally the water table rises to the ground surface. What width in m (1 dp) of footing should be used if a minimum factor of safety of 2.4 is required? The footing depth is 1.2 m
square footing 4×4 m carrying a load of 400 KN and the moment of 200 KN.m...
square footing 4×4 m carrying a load of 400 KN and the moment of 200 KN.m compute the maximum and minimum bearing pressure
A 6-m span simply supported beam carries a uniformly distributed ultimate load of 70 kN/m. The...
A 6-m span simply supported beam carries a uniformly distributed ultimate load of 70 kN/m. The dimensions of the beam section are b = 300 mm, d = 700 mm. The beam is reinforced with bars of 25-mm diameter in one row. f’c = 25 MPa, and Fy = 420 MPa. Use # 10 U-shaped stirrups. Neglect the column width. The stirrup spacings (s) is equal to: a. 450 mm                    b. 350 mm c. 400 mm                    d. 500 mm                   
simply supported T-beam of 6 m clear span carries an ultimate load of 38 kN/m. The...
simply supported T-beam of 6 m clear span carries an ultimate load of 38 kN/m. The beam section dimensions, support particulars and tension reinforcement are shown in Figure Q1. Design the shear reinforcement for the beam. Data Given: The characteristic strength of the concrete is             25 N/mm2. The characteristic strength of steel reinforcement is         460N/mm2. The characteristic strength of shear reinforcement is         250N/mm2. Nominal maximum aggregate size (hagg) is             20...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT