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Question 3. To compute the stress increment (Aa) under the corner of a uniform rectangular surfac...
Question 2 (25 marks) A square wood platform of side-length L = 2.4 m rests on...
Question 2 (25 marks) A square wood platform of side-length L = 2.4 m rests on masonry walls. The deck of the platform is constructed of 4 cm thick planks supported on two beams which are 2.4 m long. The beams have a width of 100 mm and height of 150 mm and are supported at their ends by the walls. The structure is designed to support a uniformly distributed load, wA (kN/m2), acting over the entire top surface of...
A simple beam with span length L = 2m is subjected to a uniform load intensity...
A simple beam with span length L = 2m is subjected to a uniform load intensity of q = 60 kN/m. The beam has a rectangular cross section with width b = 50 mm and height h = 150 m Determine the normal stress at point C (Mpa) with c = 500 mm and d = 25 mm.
A square wood platform of side-length ? = 2.4 m rests on masonry walls. The deck...
A square wood platform of side-length ? = 2.4 m rests on masonry
walls. The deck of the platform is constructed of 4 cm thick planks
supported on two beams which are 2.4 m long. The beams have a width
of 100 mm and height of 150 mm and are supported at their ends by
the walls. The structure is designed to support a uniformly
distributed load, ?? (kN/m2), acting over the entire top surface of
the platform. The tensile...
QUESTION 4 A beam of rectangular cross section 200 x 400 mm, is pre-stressed with force...
QUESTION 4 A beam of rectangular cross section 200 x 400 mm, is pre-stressed with force of 1 500 kN applied at 150 mm from the bottom edge of the beam, as shown on the Figure below. Calculate the magnitude of the uniformly distributed load (UDL), so that the resultant stress at the bottom edge of the beam is zero (0). 1500 kN 1500 kN> 12 m
C5.2 The cantilever beam of length L has a rectangular cross section of constant width b. The height h of the beam varies as(h2 - h)(x/L)2. The magnitude of the uniformly distributed load is wo....
C5.2 The cantilever beam of length L has a rectangular cross section of constant width b. The height h of the beam varies as(h2 - h)(x/L)2. The magnitude of the uniformly distributed load is wo. Given L, b, hi, h2, and wo, construct an al gorithm to plot the maximum normal stress acting on the cross section as a function of x. (a) Run the algorithm with L 2 m, b 25 mm, h 30 mm, h2120 mm, and wo...
2. A rectangular beam, 400 x 600 mm gross dimension, is cast using a concrete strength...
2. A rectangular beam, 400 x 600 mm gross dimension, is cast using a concrete strength of fc 30 MPa, reinforced with 5-25 mm diameter steel bar at the effective depth of 500 mm. If is subjected to a moment, M 130 kN-m. Determine the following: Magnitude of the bending moment that cracks the singly-reinforced beam section. (10 pts) b. For the computed cracking moment, determine the maximum compressive stress in the concrete and the stress in the tension steel....
7) (Total 20 pts) The figure shows a 20 m thick layer of normally consolidated clay...
7) (Total 20 pts) The figure shows a 20 m thick layer of normally consolidated clay (Y -18.6 kN/m3) that is one-dimensionally loaded by Δσ,-50kPa. The clay layer is below a 3 m thick layer of granular fill (y = 19.6 kN/m3), and a dense, compacted glacial till (impermeable) underlies the clay. The water table is located at the top of the clay layer. A 1-D consolidation test is performed on a 2.20 cm thick, doubly drained specimen from the...
g=9.81m/s^2 When it say "preconsolidated under vertical effective stress of 130 kPa", this means that the...
g=9.81m/s^2
When it say "preconsolidated under vertical effective stress of
130 kPa", this means that the preconsolidation pressure at the
centre of the clay layer is 130 kPa, NOT that 130 kPa was applied
as a surcharge at the surface.
In the following questions, you do not need to divide the clay layer into multiple layers to calculate the consolidation settlement. Asume the clay to be only one layer q 50 kN/m2 3.0 m dry WT Sand: Ysat 1k -17...
Question 3c, how was the effective stress calculated for the depth of 2,6 and 10 m?...
Question 3c, how was the effective stress calculated for the
depth of 2,6 and 10 m? How was the Cp calculated? Is sigma 1 the
effective stress? What is sigma? Why d is 4?
1 3c In ε- Cp w-Σε disp ε. d do initial o Deformation depth d Strain (-) (m) 4 176.2 1.08 2 62 0.27 6 107 4 128.4 0.16 0.63 152 4 10 95.5 0.10 0.39 total 2.10 in 3) A 10 m wide and very...
A 5m wide and 10m long rectangular foundation is built on a site where the soil...
A 5m wide and 10m long rectangular foundation is built on a site where the soil profile consists of 3m of gravel and 4m of clay overlying rigid impermeable rock as shown in Fiqure 8. The foundation carries a surcharge loading of q-65 kN/m2 Initially the water table is 1 m below the surface of the gravel. The water table rises to the surface of the gravel slowly over a period of time and the surface loading induces an increase...
Question 2 (25 marks) A square wood platform of side-length L = 2.4 m rests on masonry walls. The deck of the platform is constructed of 4 cm thick planks supported on two beams which are 2.4 m long. The beams have a width of 100 mm and height of 150 mm and are supported at their ends by the walls. The structure is designed to support a uniformly distributed load, wA (kN/m2), acting over the entire top surface of...
A simple beam with span length L = 2m is subjected to a uniform load intensity of q = 60 kN/m. The beam has a rectangular cross section with width b = 50 mm and height h = 150 m Determine the normal stress at point C (Mpa) with c = 500 mm and d = 25 mm.
A square wood platform of side-length ? = 2.4 m rests on masonry
walls. The deck of the platform is constructed of 4 cm thick planks
supported on two beams which are 2.4 m long. The beams have a width
of 100 mm and height of 150 mm and are supported at their ends by
the walls. The structure is designed to support a uniformly
distributed load, ?? (kN/m2), acting over the entire top surface of
the platform. The tensile...
QUESTION 4 A beam of rectangular cross section 200 x 400 mm, is pre-stressed with force of 1 500 kN applied at 150 mm from the bottom edge of the beam, as shown on the Figure below. Calculate the magnitude of the uniformly distributed load (UDL), so that the resultant stress at the bottom edge of the beam is zero (0). 1500 kN 1500 kN> 12 m
C5.2 The cantilever beam of length L has a rectangular cross section of constant width b. The height h of the beam varies as(h2 - h)(x/L)2. The magnitude of the uniformly distributed load is wo. Given L, b, hi, h2, and wo, construct an al gorithm to plot the maximum normal stress acting on the cross section as a function of x. (a) Run the algorithm with L 2 m, b 25 mm, h 30 mm, h2120 mm, and wo...
2. A rectangular beam, 400 x 600 mm gross dimension, is cast using a concrete strength of fc 30 MPa, reinforced with 5-25 mm diameter steel bar at the effective depth of 500 mm. If is subjected to a moment, M 130 kN-m. Determine the following: Magnitude of the bending moment that cracks the singly-reinforced beam section. (10 pts) b. For the computed cracking moment, determine the maximum compressive stress in the concrete and the stress in the tension steel....
7) (Total 20 pts) The figure shows a 20 m thick layer of normally consolidated clay (Y -18.6 kN/m3) that is one-dimensionally loaded by Δσ,-50kPa. The clay layer is below a 3 m thick layer of granular fill (y = 19.6 kN/m3), and a dense, compacted glacial till (impermeable) underlies the clay. The water table is located at the top of the clay layer. A 1-D consolidation test is performed on a 2.20 cm thick, doubly drained specimen from the...
g=9.81m/s^2
When it say "preconsolidated under vertical effective stress of
130 kPa", this means that the preconsolidation pressure at the
centre of the clay layer is 130 kPa, NOT that 130 kPa was applied
as a surcharge at the surface.
In the following questions, you do not need to divide the clay layer into multiple layers to calculate the consolidation settlement. Asume the clay to be only one layer q 50 kN/m2 3.0 m dry WT Sand: Ysat 1k -17...
Question 3c, how was the effective stress calculated for the
depth of 2,6 and 10 m? How was the Cp calculated? Is sigma 1 the
effective stress? What is sigma? Why d is 4?
1 3c In ε- Cp w-Σε disp ε. d do initial o Deformation depth d Strain (-) (m) 4 176.2 1.08 2 62 0.27 6 107 4 128.4 0.16 0.63 152 4 10 95.5 0.10 0.39 total 2.10 in 3) A 10 m wide and very...
A 5m wide and 10m long rectangular foundation is built on a site where the soil profile consists of 3m of gravel and 4m of clay overlying rigid impermeable rock as shown in Fiqure 8. The foundation carries a surcharge loading of q-65 kN/m2 Initially the water table is 1 m below the surface of the gravel. The water table rises to the surface of the gravel slowly over a period of time and the surface loading induces an increase...
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