Question
In: Civil Engineering
Q3 (a) Figure Q3 (a) shows a cantilever beam which is carry a load P at...
Q3 (a) Figure Q3 (a) shows a cantilever beam which is carry a
load P at point C.
(i) Sketch the deflection curve of the beam.
(ii) Derive the bending moment deflection, slope deflection and
deflection equation at b-b using Double Integration Method.
(iii) Calculate the maximum deflection. Given: L= 10 m, a= 3m, P=
25 kN. EI is constant
(b) Figure Q3 (b) shows a solid steel spindle AB that has a diameter ??=38 mm. The allowable shearing stress of the spindle is 84 MPa, while sleeve CD is made of a brass with an allowable shearing stress of 50MPa. Determine the largest torque (T), that can be applied at A.
Solutions
Ally Wells answered 1 year agoRelated Solutions
Select a 12 ft cantilever beam with p = 0.012, to support a dead load of...
Select a 12 ft cantilever beam with p = 0.012, to
support a dead load of 2k/f (including self weight) and Live load
of 3 k/ft. fy= 60000 psi, fc'= 3500 psi (hint your answer should be
Width = XXXX, Effective depth= XXXXX, Area of reinforcement =
XXXXX)
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...
Derive the elastic lateral torsional buckling formula of a cantilever I-beam subject to a concentrated load...
Derive the elastic lateral torsional buckling formula of a
cantilever I-beam subject to a concentrated load at the end. The
load is applied at the top of the flange.
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.
The cantilevered beam shown in the accompanying figure is used to support a load acting on...
The cantilevered beam shown in the accompanying figure
is used to support a load acting on a balcony. The deflection on
the centerline of the beam is given by the following
equation.
Y =-wx^2/24EI(x^2-4Lx + 6L^2)
where
y = deflection at a given x location (m)
w = Distributed load (N/m)
E = modulus of elasticity (N/m^2)
I = second moment of area (m^4)
x = distant from the support as shown (x)
L = length of the beam (m)...
A 5-kN horizontal load acts on the column shown in Figure Q3 at a location of...
A 5-kN horizontal load acts on the column shown in Figure Q3 at
a location of 1.7 m above the ground level. 50 kN Elev. 0.0
GWT-Elev.-1.1 m Elev.-2.0 m_ Figure Q3 (1) Determine a suitable
footing size, using the following information: The site soil is
granular soil with an angle of friction 20°, a unit weight of
16.5kN/m (above the groundwater table) and a saturated unit weight
of 19.8 16.5kN/m3: Factor of safety FS-2.5; (2) If the horizontal
load...
1. The figure below shows a square foundation which applies a load of 63 kN/m2 at...
1. The figure below shows a square foundation which applies a
load of 63 kN/m2 at the ground surface. The soil profile consists
of 3 clay layers where the coefficient of volume compressibility
for the clay falls linearly from 0.05 m2/MN at the ground surface
to 0.025 m2/MN at the bottom of layer 3. The stress change
distribution with depth due to the foundation load is shown in the
table.
Depth (m)
Stress change (kN/m2)
0
63
4*
46.94
8...
A simply supported 7 ft long solid wooden beam is designed to carry a concentrated load...
A
simply supported 7 ft long solid wooden beam is designed to carry a
concentrated load P = 600 lbf in the center. The distance between
supports is 72 inches. The cross sectional area is 2” (inches) wide
and 6” (inches) high. Determine the moment of mass of the beam
(lbm), inertia (in4) and deflection (in). This wood has the
following material properties: Modulus of elasticity = 2.5 x 106
psi and Density = 40 lbm/ft3.
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