Analysis of truss using the method of section

ele_sand2bdensity2bcones-7210836 Knowing the dry density of soil or pavement is important to evaluate the degree of compaction achieved during the construction process. A field density test is a common test used to determine the field density of the soil or pavement. The principle of field density test is the replacement of soil excavated materials by the sand, the sand density is known so we can calculate the volume of the sand required to fill the hole. By knowing the volume of the hole excavated in soil and the weight of soil, we can calculate the in-situ density. The in-situ density equals the weight of excavated materials divided by the volume of excavated material. Apparatus  Sand pouring cylinder equipment

Small sand pouring cylinder equipment: this suitable for fine and medium-grained soil. It consists of a cylinder having a diameter of 100 mm and a length of 380 mm with an inverted funnel at one end and a shutter to open and close for the entry of sand. Also, there will be a metal tray for the excavation of s…

one-wayslab-9307451Design a one-way slab for the inside of a building using the span, loads, and other data given in Figure 1. Normal-weight aggregate concrete is specified with a density of 145 pcf. (assuming cover 3/4 in) Figure 1

The minimum thickness for one-way slab simply supported=L/20 using table 1(ACI h=10/20=0.5=6in

Table 1

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now we will calculate d=(6-3/4(cover)-1/4(estimated as half diameter of reinforcement) d=5 in 
now we will calculate dead load concrete density=145pcf, Usually 5 pcf is added to account for the weight of reinforcement, so 150 pcf is used in calculating the weight of a normal-weight concrete member. dd=(6in*ft/12)*1*150/=75 lb/ft LL=200*(1)=200lb/ft Wu=1.2*75+1.6*200=410 lb/ft
maximum moment for simply supported span =(Wu*L^2)/8 =(410*10^2)/8=8/=5,125lb-ft=61,500lb-in
now we can calculate ρ

Rn=Mu/(ϕ*b*d^2) Rn=(61500)/(0.9*12*(5^2))=227.7

ρ=… Da structure can be called determinate if the equilibrium equation provides enough and sufficient condition for equilibrium. if all forces for a structure can be determined using equilibrium equations only, this structure is determinate, but if the unknown forces are more and cant be determined using equilibrium equations then this structure is general we can determine if a structure is statically determinate or indeterminate by drawing free body diagram for a structure or part of it and comparing a number of unknown forces and moment component with number of available equation of equilibrium. for coplanar structures, we have  three equilibrium equations, if n is the total number of parts and r is the number of unknown forces and moment component then:

r=3*n determinate r>3*n indeterminate 

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statically indeterminate structure cant be solved using equilibrium equations, so…

pi-1775275Pile cap used to transfer the loads from superstructure to the piling. The pile cap is thick concrete mat rests on piles. It is part of the foundation and used to distribute the loads over the piles. Piles used when the soil bearing is not enough to carry loads of the structure.

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Pile cap construction procedure Excavation around piles: After 7 days of the casting of the pile the concrete will gain approximately, 70% of it is compressive strength. The soil around piles will be removed to the required levels and dimension that allows construction of the pile cap. A step shall be made if the excavation is more than 1.5 m to prevent soil collapse. Pile head cutting: Concrete will be removed up to cut off level. If concrete under the cut off level is unsound. It shall be removed, and the pile will be repaired. Pile must be free from cracks and unsound concrete.

 Blinding concrete: after completion o…

trus2bcase2b1-9613380 In a truss system, some members are not carrying any force. This called zero-force member. This member may added to increase truss stability. Identifying these members will simplify the process of analyzing truss. the determination of zero force member can be done by inspecting of truss joints, and there are two casesif we check the joint c for truss shown in figure 1, this joint has no external load, and two members are connected to this joint at a right angle. if we sum force in y-direction Σfy=0, we get FCD=0, similarly in x-direction FCB=0. For joint A, no external load applied to this joint. If we sum forces in y-direction Σfy=0, we get FAB=0. Similarly, in x-direction FAE=0. Figure 1

A quick look at this truss. We can notice joint c and joint d with no external load. Inspecting joint C will be a bit difficult because 4 members are connected to joint c. Starting with joint D. member DF is perpendicular to member DE and CD. if we sum the forces in the y-direction. As showing in fig…

flakiness-500x500-8681782 Flaky and elongated aggregates can adversely affect concrete. Flaky and elongated aggregates are difficult to compact. Therefore using flaky and elongated aggregates will reduce concrete workability, which required more amount of water to produce a workable mix. Increasing water content will reduce concrete strength and durability. Moreover, these aggregates are not robust, which leads to lowering concrete strength. Figure 1

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The Flakiness Index of aggregates is the percentage by weight of particles whose least dimension (thickness) is less than three- fifths (0.6times) of their mean dimension. This test does not apply to sizes smaller than 6.3mm.

The Elongation index of an aggregate is the percentage by weight of particles whose greatest dimension (length) is greater than nine-fifths (1.8times) their mean dimension. Flakiness and elongation tests are not applicable to sizes smaller than 6.3…

load-calculations-2-638-4018195 Let consider a slab supported by beams and columns, to begin structural analysis for each member, we need to know the amount of load transferred to this member, the amount of load transferred to any member can be determined using tributary area(loading) concept. the geometry of a structure will determine the shape of the tributary area. figure 1

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In a one-way system, slab delivers the load to supports by one-way action. the dimension of slab shall satisfy the following equation to act as one-way slab L2/L1>2. let consider floor system in figure 3, L2/L1 for beam AB L2/L1=15/5=3, therefore slab will transfer the loads to beam in one-way action, tributary area for beam AB, E-f will be as shown in figure 3, loads of 100*2.5=250Lb/ft(linearly distributed over the whole length of the beam, for beam CD, the load will be 100*5=500Lb/ft, beam CD will share loads from both sides because it is lo…

truss-7888098 The combination of structural elements and materials called structural system. the structural system may be composed of one or more of the four basic types of structure: Truss: truss used for structure with large span where the depth is not important. a truss consists of slender elements, arranged in a triangular shape, planner truss refers to truss where all elements lie in the same plane frequently used for bridges. space truss is composed of elements extending in three dimensions. Truss converts loads that cause truss to bend into tension and compression forces. due to this advantages truss used fewer materials compared to beam, also it is composed of slender and long elements, Truss can be used to cover spans from 9m(30ft) to 122 m(400ft).

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Cable and arches: cables are used to support long span where the using of truss is not feasible and could lead to a significant increase in …

processseperate-5033074 A structure or one of the members considered in equilibrium when it maintains a balance of force and moment. this required satisfying force and moment equation in three axis.

                                     ΣFx=0,            ΣFy=0,               ΣFz=0                                      ΣMx=0,           ΣMy=0,               ΣMz=0
for a structure in a single plane and since the forces are coplanar the equation of equilibrium reduced to 

ΣFx=0 ΣFy=0 ΣMo=0

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where ΣFx is the sum of the component of the force in the x-axis, ΣFy is the sum of the component of the force in the y-axis, ΣMo is the algebraic sum of the moment of the component of the forces about an axis perpendicular to x and y-axis and passing through point o. whenever these equations are applied, free body diagram shall be drawn for the structure or it is members, if the analysis required for a member, this member should be isolate…

new2bmicrosoft2bpowerpoint2bpresentation2b252822529-3117723 The cracking moment is the moment corresponding tensile bending stress at which concrete will start to crack. reinforcing steel cross-sectional area is 2% or less of concrete beam cross-section. the area of reinforcing steel is minimal compared to concrete. therefore, it will not cause a major change to concrete beam properties as long as the beam uncracked. bending stress for concrete at distance y from a neutral axis can be calculated using elastic beam theory


where  f is the bending stress at distance y M is the moment applied to the beam y is the distance from the neutral axis   I is the moment of inertia for beam

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bridge construction:How to become a bridge engineer course concrete modulus of rupture is defined as the bending tensile strength at which concrete start to cracks. ACI provides us with the equation for calculating the modulus of rupture 

fr=7.5λ√fc’ (in psi) fr=0.7λ√fc’ (in Mpa) where λ is equal 1 for nor…

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