1. The document provides calculations to determine the load-bearing capacity and relative depth of the compression zone for 5 reinforced concrete elements with different dimensions, reinforcement, and material properties. For each element, the calculations involve determining the load-bearing height, moment coefficient, moment capacity, and final load-bearing capacity and relative compression depth.
Se presenta la solución de varios problemas sobre el análisis de esfuerzos en vigas, normales por flexión y cortante, aplicando los conceptos básicos de la mecánica de materiales
Se presentan problemas resueltos donde se calculan desplazamientos de estructuras estáticamente determinadas aplicando el método de la estructura conugada
Solution Manul for Structural Analysis in SI Units 10th Edition by Russell Hi...physicsbook
https://www.unihelp.xyz/solutions-manual-mechanics-of-materials-hibbeler/
Solution Manual for Mechanics of Materials in SI Units 10th Edition (Global Edition)
Author(s): Russell Charles Hibbeler
"Solution Manual for Mechanics of Materials Tenth Edition in SI Units Global Edition" have answers for "problems" and "Review Problems" in all chapters of textbook (Chapters 1 to 14).
Se presenta la solución de varios problemas sobre el análisis de esfuerzos en vigas, normales por flexión y cortante, aplicando los conceptos básicos de la mecánica de materiales
Se presentan problemas resueltos donde se calculan desplazamientos de estructuras estáticamente determinadas aplicando el método de la estructura conugada
Solution Manul for Structural Analysis in SI Units 10th Edition by Russell Hi...physicsbook
https://www.unihelp.xyz/solutions-manual-mechanics-of-materials-hibbeler/
Solution Manual for Mechanics of Materials in SI Units 10th Edition (Global Edition)
Author(s): Russell Charles Hibbeler
"Solution Manual for Mechanics of Materials Tenth Edition in SI Units Global Edition" have answers for "problems" and "Review Problems" in all chapters of textbook (Chapters 1 to 14).
A possible solution to the struct-hub second design assessment. Inspired by the civic centre building 2018 involving wide slab panels of solid slab construction
A possible solution to the struct-hub second design assessment. Inspired by the civic centre building 2018 involving wide slab panels of solid slab construction
Episode 39 : Hopper Design
Problem:
1 -experiments with shear box jenike on a particulate catalyst to give the family
yield locus as in 1. given that the bulk density is 1000 kg/m3 particulates and wall friction angle is 15
a-from design chart silo cone, do design a mass flow hopper for the material.
b-if the average size is 100 um, calculate the discharge flow rate passing through the discharge opening
2 - For the above materials using stainless steel is required to store 1000 tons of particulate in it. Coefficient of friction at the wall is given as 0.45 for each value and the formula that you use the appropriate justify the design.
a - draw the dimensions of the silo you and draw a vertical stress profile and the wall of the silo whole time say powerful particle
b- specify the maximum vertical stress and the wall of the silo you
c - if you use several different approaches in the design you provide appropriate recommendations to your employer for work before the end of the casting device fabrication started.
d - if problems such as the formation of the entrance are available after a certain time interval suggest measures - flow improvement measures to be taken to your employer
SAJJAD KHUDHUR ABBAS
Ceo , Founder & Head of SHacademy
Chemical Engineering , Al-Muthanna University, Iraq
Oil & Gas Safety and Health Professional – OSHACADEMY
Trainer of Trainers (TOT) - Canadian Center of Human
Development
Because of torsion, the beam fails in diagonal tension forming the spiral cracks around the beam. Warping of the section does not allow a plane section to remain as plane after twisting. Clause 41 of IS 456:2000 provides the provisions for
the design of torsional reinforcements. The design rules for torsion are based on the equivalent moment.
check it out: http://goo.gl/vqNk7m
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This is first or introductory lecture of Mechanics of Solids-1 as per curriculum formulated by Higher Education Commission and Pakistan Engineering Council
Welcome to WIPAC Monthly the magazine brought to you by the LinkedIn Group Water Industry Process Automation & Control.
In this month's edition, along with this month's industry news to celebrate the 13 years since the group was created we have articles including
A case study of the used of Advanced Process Control at the Wastewater Treatment works at Lleida in Spain
A look back on an article on smart wastewater networks in order to see how the industry has measured up in the interim around the adoption of Digital Transformation in the Water Industry.
Industrial Training at Shahjalal Fertilizer Company Limited (SFCL)MdTanvirMahtab2
This presentation is about the working procedure of Shahjalal Fertilizer Company Limited (SFCL). A Govt. owned Company of Bangladesh Chemical Industries Corporation under Ministry of Industries.
Hybrid optimization of pumped hydro system and solar- Engr. Abdul-Azeez.pdffxintegritypublishin
Advancements in technology unveil a myriad of electrical and electronic breakthroughs geared towards efficiently harnessing limited resources to meet human energy demands. The optimization of hybrid solar PV panels and pumped hydro energy supply systems plays a pivotal role in utilizing natural resources effectively. This initiative not only benefits humanity but also fosters environmental sustainability. The study investigated the design optimization of these hybrid systems, focusing on understanding solar radiation patterns, identifying geographical influences on solar radiation, formulating a mathematical model for system optimization, and determining the optimal configuration of PV panels and pumped hydro storage. Through a comparative analysis approach and eight weeks of data collection, the study addressed key research questions related to solar radiation patterns and optimal system design. The findings highlighted regions with heightened solar radiation levels, showcasing substantial potential for power generation and emphasizing the system's efficiency. Optimizing system design significantly boosted power generation, promoted renewable energy utilization, and enhanced energy storage capacity. The study underscored the benefits of optimizing hybrid solar PV panels and pumped hydro energy supply systems for sustainable energy usage. Optimizing the design of solar PV panels and pumped hydro energy supply systems as examined across diverse climatic conditions in a developing country, not only enhances power generation but also improves the integration of renewable energy sources and boosts energy storage capacities, particularly beneficial for less economically prosperous regions. Additionally, the study provides valuable insights for advancing energy research in economically viable areas. Recommendations included conducting site-specific assessments, utilizing advanced modeling tools, implementing regular maintenance protocols, and enhancing communication among system components.
Sachpazis:Terzaghi Bearing Capacity Estimation in simple terms with Calculati...Dr.Costas Sachpazis
Terzaghi's soil bearing capacity theory, developed by Karl Terzaghi, is a fundamental principle in geotechnical engineering used to determine the bearing capacity of shallow foundations. This theory provides a method to calculate the ultimate bearing capacity of soil, which is the maximum load per unit area that the soil can support without undergoing shear failure. The Calculation HTML Code included.
1. 1. A rectangular cross-section reinforced concrete element with dimensions b × h = 20 × 45 cm
is reinforced with 2∅12 reinforcement of class A 400 in the compression zone, and 3∅25
reinforcement of class A400 in the tension zone, Rs = Rsc = 350 MPa, 𝐴𝑠
′ = 2,26 cm2, As =
14.72 cm2. Concrete is B 25 and its compressive strength is Rb= 14.5 MPa. Determine the load-
bearing capacity of the section and the relative depth of the compression zone of the section.
Take as= 6 cm and 𝑎𝑠
′ = 3 cm for the tension and compression zones during the calculations.
SOLUTİON: First find the load-bearing height of the cross-section:
ℎ0 = h - 𝑎𝑠= 45-6= 39 cm
Then from the moment equation we calculate the moment coefficient:
𝑅𝑠 ⋅ 𝐴𝑠= 𝜉 ⋅ 𝑅𝑏 ⋅ 𝑏 ⋅ ℎ0 + 𝑅𝑠𝑐 ⋅ 𝐴𝑠
′
=> 𝜉=
𝑅𝑠⋅𝐴𝑠−𝑅𝑠𝑐⋅𝐴𝑠
′
𝑅𝑏⋅𝑏⋅ℎ0
Based on the given:
𝜉=
𝑅𝑠⋅𝐴𝑠−𝑅𝑠𝑐⋅𝐴𝑠
′
𝑅𝑏⋅ 𝑏 ⋅ ℎ0
=
350 ⋅ 14.72 −350 ⋅2.26
14.5 ⋅ 20 ⋅ 39
= 0.385 < 𝜉𝑅 = 0,5333
The we obtained for the moment coefficient:
𝛼𝑚 = 𝜉 ⋅ (1 −
𝜉
2
)= 0.3856 ⋅ (1-
0.3856
2
) = 0.311 < 𝛼𝑚𝑟=0,3910
Finally, for the load-bearing capacity of a double-layer reinforced section given by the moment
equation, we obtain:
𝑀𝑢𝑙𝑡 = 𝛼𝑚 ⋅ 𝑅𝑏 ⋅ 𝑏 ⋅ ℎ0
2
+ 𝑅𝑠𝑐 ⋅ 𝐴𝑠
′
⋅(ℎ0 − 𝑎𝑠
′
)= 0.3113 ⋅ 14.5 ⋅ 103
⋅ 0,2 ⋅ 0,392
+
+ 350 ∙ 103
∙ 2.26 ∙ 10−4
∙ (0.39 − 0,03) = 165,7 𝑘𝑁 ∙ 𝑚
2. 2. Rectangular cross-sectional element with dimensions b × h = 30 × 40 cm is made of B 15
concrete with compressive strength Rb = 8.5 MPa in the first group of limit states and class A400
with total area As = 19.63 cm2 in the tensile zone. Reinforced with 5∅25 reinforcement, Rs = Rsc=
350 MPa. Determine the load-bearing capacity of the section and the relative depth of the
compression zone. Take as = 5 cm during calculations
3. Rectangular cross-sectional element with dimensions b × h = 30 × 85 cm is made of B20
concrete with strength Rb= 11.5 MPa in the first group of limit cases and class A 400 with total
area As = 2.27 cm2 in the tension zone. It is reinforced with 2∅12 periodic profile reinforcement,
and in the tension zone by 4 ∅ 25 of class A400 reinforcement with total area As= 19.625 cm2,
Rs = Rsc = 350 MPa. Determine the load-bearing capacity of the section and the relative depth of
the compression zone. Take 𝑎𝑠
′ = 3 cm and as= 4 cm during the calculations.
SOLUTİON: First find the load-bearing height of the cross-section:
ℎ0 = h - 𝑎𝑠= 85-4= 81 cm
Then from the moment equation we calculate the moment coefficient:
𝑅𝑠 ⋅ 𝐴𝑠= 𝜉 ⋅ 𝑅𝑏 ⋅ 𝑏 ⋅ ℎ0 + 𝑅𝑠𝑐 ⋅ 𝐴𝑠
′
=> 𝜉=
𝑅𝑠⋅𝐴𝑠−𝑅𝑠𝑐⋅𝐴𝑠
′
𝑅𝑏⋅𝑏⋅ℎ0
Based on the given:
𝜉=
𝑅𝑠⋅𝐴𝑠−𝑅𝑠𝑐⋅𝐴𝑠
′
𝑅𝑏⋅ 𝑏 ⋅ ℎ0
=
350 ⋅ 19.625 −350 ⋅2.27
11.5 ⋅ 30 ⋅ 81
= 0.217 < 𝜉𝑅 = 0,5333
The we obtained for the moment coefficient:
𝛼𝑚 = 𝜉 ⋅ (1 −
𝜉
2
)= 0.2174 ⋅ (1-
0.2174
2
) = 0.193 < 𝛼𝑚𝑟=0,3910
3. Finally, for the load-bearing capacity of a double-layer reinforced section given by the moment
equation, we obtain:
𝑀𝑢𝑙𝑡 = 𝛼𝑚 ⋅ 𝑅𝑏 ⋅ 𝑏 ⋅ ℎ0
2
+ 𝑅𝑠𝑐 ⋅ 𝐴𝑠
′
⋅(ℎ0 − 𝑎𝑠
′
)= 0.1938 ⋅ 11.5 ⋅ 103
⋅ 0,3 ⋅ 0,812
+
+ 350 ∙ 103
∙ 2.27 ∙ 10−4
∙ (0.81 − 0,03) = 500,7 𝑘𝑁 ∙ 𝑚
4. Rectangular cross-sectional element with dimensions sm
h
b 80
40
, is reinforced in the
compression zone by 12
3 MPa
Rsc 350
reinforcement with area 2
39
,
3 sm
As
of A400 class
(𝑅𝑠𝑐 = 350 𝑀𝑃𝑎), but in the tension zone by 40
3 reinforcement ( MPa
Rs 350
) with area
2
68
,
37 sm
As of class A 400 . The strength of concrete for calculations in the case of class
50
B and the limit-state of the first group is MPa
Rb 5
,
27
. Determine the load-bearing capacity
of the section. During calculations, take 𝑎𝑠
′ = 3cm and as = 6 cm.
SOLUTİON: First find the load-bearing height of the cross-section:
ℎ0 = h - 𝑎𝑠= 80-6= 74 cm
Then from the moment equation we calculate the moment coefficient:
𝑅𝑠 ⋅ 𝐴𝑠= 𝜉 ⋅ 𝑅𝑏 ⋅ 𝑏 ⋅ ℎ0 + 𝑅𝑠𝑐 ⋅ 𝐴𝑠
′
=> 𝜉=
𝑅𝑠⋅𝐴𝑠−𝑅𝑠𝑐⋅𝐴𝑠
′
𝑅𝑏⋅𝑏⋅ℎ0
Based on the given:
𝜉=
𝑅𝑠⋅𝐴𝑠−𝑅𝑠𝑐⋅𝐴𝑠
′
𝑅𝑏⋅ 𝑏 ⋅ ℎ0
=
350 ⋅ 37.68 −350 ⋅3.39
27.65 ⋅ 40 ⋅ 74
= 0.146 < 𝜉𝑅 = 0,5333
The we obtained for the moment coefficient:
4. 𝛼𝑚 = 𝜉 ⋅ (1 −
𝜉
2
)= 0.1466⋅ (1-
0.1466
2
) = 0.135 < 𝛼𝑚𝑟=0,3910
Finally, for the load-bearing capacity of a double-layer reinforced section given by the moment
equation, we obtain:
𝑀𝑢𝑙𝑡 = 𝛼𝑚 ⋅ 𝑅𝑏 ⋅ 𝑏 ⋅ ℎ0
2
+ 𝑅𝑠𝑐 ⋅ 𝐴𝑠
′
⋅(ℎ0 − 𝑎𝑠
′
)= 0.1359 ⋅ 27.65 ⋅ 103
⋅ 0,4 ⋅ 0,742
+
+ 350 ∙ 103
∙ 3.39 ∙ 10−4
∙ (0.74 − 0,03) = 907.3 𝑘𝑁 ∙ 𝑚
5. Rectangular cross-sectional element with dimensions b × h = 30 × 60 cm, is reinforced in the
compression zone by 4∅10 reinforcement with area 𝐴𝑠
′ = 3,14 cm2 of A400 class
(𝑅𝑠𝑐 = 350 𝑀𝑃𝑎), but in the tension zone by 4∅28 reinforcement (𝑅𝑠 = 350 𝑀𝑃𝑎) with area
𝐴𝑠 = 24,63 𝑐𝑚2 of class A 400 . The strength of concrete for calculations in the case of class B
60 and the limit-state of the first group is 𝑅𝑏 = 33.0 𝑀𝑃𝑎. Determine the load-bearing capacity of
the section. During calculations, take 𝑎𝑠
′ = 3cm and as = 4.5 cm.
SOLUTİON: First find the load-bearing height of the cross-section:
ℎ0 = h - 𝑎𝑠= 60-4.5= 55.5 cm
Then from the moment equation we calculate the moment coefficient:
𝑅𝑠 ⋅ 𝐴𝑠= 𝜉 ⋅ 𝑅𝑏 ⋅ 𝑏 ⋅ ℎ0 + 𝑅𝑠𝑐 ⋅ 𝐴𝑠
′
=> 𝜉=
𝑅𝑠⋅𝐴𝑠−𝑅𝑠𝑐⋅𝐴𝑠
′
𝑅𝑏⋅𝑏⋅ℎ0
Based on the given:
𝜉=
𝑅𝑠⋅𝐴𝑠−𝑅𝑠𝑐⋅𝐴𝑠
′
𝑅𝑏⋅ 𝑏 ⋅ ℎ0
=
350 ⋅ 24.63 −350 ⋅3.14
33 ⋅ 30 ⋅ 55.5
= 0.136 < 𝜉𝑅 = 0,5333
5. The we obtained for the moment coefficient:
𝛼𝑚 = 𝜉 ⋅ (1 −
𝜉
2
)= 0.1369⋅ (1-
0.1369
2
) = 0.127 < 𝛼𝑚𝑟=0,3910
Finally, for the load-bearing capacity of a double-layer reinforced section given by the moment
equation, we obtain:
𝑀𝑢𝑙𝑡 = 𝛼𝑚 ⋅ 𝑅𝑏 ⋅ 𝑏 ⋅ ℎ0
2
+ 𝑅𝑠𝑐 ⋅ 𝐴𝑠
′
⋅(ℎ0 − 𝑎𝑠
′
)= 0.1275 ⋅ 33 ⋅ 103
⋅ 0,3 ⋅ 0,5552
+
+ 350 ∙ 103
∙ 3.14 ∙ 10−4
∙ (0.555 − 0,03) = 446,5 𝑘𝑁 ∙ 𝑚