Question
In: Civil Engineering
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 what distance from the applied load?
- Calculate the maximum deflection assuming E = 200 GPa and I = 60x10^6 mm4
Solutions
Ally Wells answered 3 months agoRelated Solutions
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.
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 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...
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.
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 beam of 10m span carries a uniformly distributed load of 50kN/m spread over...
A simply supported beam of 10m span carries a uniformly
distributed load of 50kN/m spread over 5m from the left support and
a 5kN concentrated load on its center . Its base is 250mm while
deep is 500mm. Calculate the maximum deflection in mm. E = 2.0x10^5
N/mm2. Use the area moment method
Q6: A cantilever beam having span ‘L’ m was subjected to a uniformly distributed load of...
Q6: A
cantilever beam having span ‘L’ m was subjected to a uniformly
distributed load of
magnitude 8 kN/m for a distance of ‘0.6 L’ from the free end and
two concentrated loads one of
magnitude 15 kN at a distance ‘0.25 L’ m from the free end while
the other of magnitude ‘22’ kN at
a distance ‘0.6 L’ m from the free end respectively. It was
observed that the maximum bending
moment acting on the beam is equal...
Q1: A cantilever beam having span ‘L’ m was subjected to a uniformly distributed load of...
Q1: A cantilever beam having span ‘L’ m was subjected
to a uniformly distributed load of
magnitude 8 kN/m for a distance of ‘0.6 L’ from the free end and
two concentrated loads one of
magnitude 15 kN at a distance ‘0.25 L’ m from the free end while
the other of magnitude ‘22’ kN at
a distance ‘0.6 L’ m from the free end respectively. It was
observed that the maximum bending
moment acting on the beam is equal...
A beam extends over a span of 7.3 m and an overhang (cantilever) to the right...
A beam extends over a span of 7.3 m and an overhang (cantilever)
to the right of the right support of 3 m (that is, the total length
of the beam is 10.3 m.) The beam supports a service dead load of 18
t/m that does not include self-weight, and a service live load of
10 t/m. Assume the connection between the beam and the support is a
simple pin or roller.
. If self-weight is 1.512 , the height(h)...
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