Question

A simply supported composite beam (L = 4.5 m) is subjected to a positive bending moment (680 N-m) at both ends. The beam is made of two materials in a square cross-section. Material 1 is 50x50 mm and is surrounded by a 25 mm shell of material 2. Solve for the maximum stress in each material. E1 = 100 GPa, E2 = 200 GPa.

Answer #1

A simply supported composite beam (L = 4.5 m) is subjected to a
positive bending moment (680 N- m) at both ends. The beam is made
of two materials in a square cross-section. Material 1 is 50x50 mm
and is surrounded by a 25 mm shell of material 2. Solve for the
maximum stress in each material. E1 = 100 GPa, E2 = 200 GPa.

A simply supported composite beam (L = 4.5 m) is subjected to a
positive bending moment (680 N- m) at both ends. The beam is made
of two materials in a square cross-section. Material 1 is 50x50 mm
and is surrounded by a 25 mm shell of material 2. Solve for the
maximum stress in each material. E1 = 100 GPa, E2 = 200 GPa.

A simply supported laminated composite beam of length 0.075 m
and width 5 mm made of glass/epoxy has the following layup of
[30/-30]4. Assume that each ply is 0.125 mm and material
properties are E1 = 38.6 GPa, E2 = 8.27 GPa,
G12 = 4.14 GPa, ν12 = 0.26. A uniform load of
q=0.6 KN/m is applied on the beam. What is the maximum deflection
of the beam?

a simply supported beam having a span length equivalent to
2008(mm). the beam is carrying uniform distributed load having
intensity of 08(N/mm) that span from the origin to two third of the
entire span, together with concentrated load of 50N at the mid=span
of the beam.
the beam cross-section details are;
-beam type = inverted tee flange beam
- flange lenght = 008mm
flange thickness= 20mm
web height = 171mm
web thickness= 20mm
Answer the following question
a) sketch the...

Plot the shear force and bending moment digrams for an
8m long beam simply supported at 0m and 6m. There is a distributed
load of 10 KN/m between the two supports and there is a point load
of 20kN located at the end of the beam.

True false:
1) When subjected to bending, a beam only develops normal stress
in tension and compression
2)the shear flow is defined as an average force per unit length
for each cross-section.
3)due to bending shear flow develops only along the beam
length.
4)) shear center is defined as the point through which force can
be applied without causing torsion
Fill in the blank:
the shear stress induced by bending in a beam is
............
Solve the question problem:
A...

A simply supported reinforced-concrete beam has to resist a
maximum factored moment of M* = 210 KN-m. Given that f’c = 32 MPa,
fy = 500 MPa and that the maximum possible width for the beam is
240 mm: a. Establish an appropriate structural depth ‘d’ for the
beam b. Determine the total depth ‘D’ of the beam for a FRL of 90
minutes c. Find the area of steel Ast required to resist the moment
and select the rebars....

A beam of square cross section, 10 x 10 cm and length 5 m has a
Young’s modulus of 200 GPa and density 7800 kg/m3. For a
case of simply supported ends determine the first three natural
frequencies and correspondent modes shapes.

Determine the largest allowable bending moment for a rectangular
reinforced concrete beam having the width b = 200 mm, total height
h = 375 mm and the distance from the bottom surface of the beam to
the centre line of steel bars = 75 mm. Use the total area of steel
As = 1360 mm2, modulus of elasticity of concrete = 30 GPa, modulus
of elasticity of steel = 210 GPa, allowable compressive stress for
concrete = 15 MPa and...

Q3: Bending moment and shear force diagrams were
plotted for a cantilever beam of span 10 m when subjected to a
uniformly distributed load of magnitude ‘w’ kN/m over the entire
span, two concentrated loads ‘2w’ kN at a distance 3 m from the
free end and ‘3.5w’ kN at a distance 4.5 m from the free end
respectively. It was observed that the value for maximum bending
moment acting on the beam is equal to (-175 kNm). Suggest a...

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