8.1 Calculate the modulus of rupture as follows: R. 5 3. PL. 2. bd. 2 (2) where: R = modulus of rupture, MPa [psi], P = maximum applied load indicated by the testing machine, N [lbf], L = span length, mm [in.], b = average width of specimen, at the fracture, mm [in.], and. d = average depth of specimen, at the fracture, mm [in.]. N. OTE
Concrete pavement design is based on the modulus of subgrade reaction or "k". The k value is determined directly by full-scale plate load tests. However, due to time and expense, plate load tests are rarely performed and the values used in design are based on correlations to other soil parameters.
· Thus, the average Young''s modulus was 26,099 MPa with maximum deviation of 5.60%. Young''s modulus is also influenced by moisture content of concrete. Hence the latter was determined at the MPA Bau Hannover.
· In Ameny et al.''s tests [45], the average ratio of concrete blockwork modulus to concrete blockwork strength was 0.70, whereas in Brooks and Amjad''s tests [36], the average concrete blockwork modulus of elasticity (GPa) was numerically equal to the average concrete blockwork strength (MPa); like clay and calcium silicate brickwork, both modulus ...
Modulus of Subgrade Reaction - Which One Should be Used? By Wayne W. Walker, P.E., F.ACI and Jerry A. Holland, P.E., F.ACI The modulus of subgrade reaction is an often misunderstood and misused concept for the thickness design of slabs-on-ground. Terzaghi in 1955 (Ref. 1, P. 300) attributed this confusion to the initial work by Hayashi in
These numbers represent average values for an Interstate highway design situation: 90% reliability concrete modulus of rupture (MR) = 700 psi concrete modulus of elasticity (E) = 4.73 million psi load transfer coefficient (J) = 2.70 ...
The standard deviation (s) for central-mix concrete is from 5 to 12 percent of the average strength. Generally, records of the standard deviation from past plant operations are available. The following example demonstrates the above procedure to account for the average, in-field 28-day flexural strength.
NOTATION: A avg = average cross-sectional area of masonry, in.² (mm²). A n = net cross-sectional area of masonry, in.² (mm²). I avg = moment of inertia of average cross-sectional area of masonry, in. 4 (mm 4). I n = moment of inertia of net cross-sectional area of masonry, in. 4 (mm 4). r avg = radius of gyration of the average cross-sectional area of masonry, in. (mm).
Typical Values of Young''s Elastic Modulus and Poisson''s Ratio for Pavement Materials Young''s Elastic Modulus Poisson''s Ratio Material (E or Mr), psi (μ or ν) Asphalt concrete 32 F 2,000,000 – 5,000,000 0.25 – 0.30 (uncracked) 70 F 300,000 – 500,000 0.30 – 0.35 140 F 20,000 – 50,000 0.35 – 0.40 Portland cement concrete 3,000,000 – 5,000,000 0.15 (uncracked) Similar to ...
AND CONCRETE SLAB SYSTEMS 1-1 CONCRETE Concrete, the most commonly used construction mate-rial worldwide, is a composite material that consists primarily of a mixture of cement and fine and coarse aggregates (sand, gravel, crushed rock, and/or other materials) to which water has been added as a …
· How do you calculate the modulus of elasticity of concrete? ACI 318–08, (Normal weight concrete) the modulus of elasticity of concrete is, Ec =4700 √f''c Mpa and. IS:456 the modulus of elasticity of concrete is 5000√f''c, MPa.
Modulus of Elasticity Approximations from ACI 318 Building Code The modulus of elasticity of concrete is a function of the modulus of each constituent (cementitious matrix, lightweight and normal-density aggregates) and their relative proportions in the mixture. The elastic modulus of normalweight
Ranges and average modulus reduction curves for all lightweight cellular concrete specimens tested at a consolidation pressure of 100 kPa As presented in Figs. 13 and 14, the damping ratio decreased with the shear strain up to certain values of shear strain, and then increased with shear strain.
· Ec = Modulus of elasticity of concrete. f''c = Compressive strength of concrete. According to. ACI 318–08, (Normal weight concrete) the modulus of elasticity of concrete is, Ec =4700 √f''c Mpa and. IS:456 the modulus of elasticity of concrete is 5000√f''c, MPa. The main factors which may affect the values determination of modulus of ...
· Flexural strength is one measure of the tensile strength of concrete. It is a measure of an un-reinforced concrete beam or slab to resist failure in bending. It is measured by loading 6 x 6 inch (150 x 150-mm) concrete beams with a span length at least three times the depth. The flexural strength is expressed as Modulus of Rupture (MR) in psi (MPa) and is determined
Density Concrete 2242 kg/m^3. While conventional concrete has a density of about 2300 kg/m 3, lightweight concrete has a density between 160 and 1920 kg/m 3. The concrete must be of a lightweight nature, with a mass of not greater than 1.5 kg/100 mm cube or a density of 1500 kg/m3. Density (kg/m3) 1450–1850. Typically, concrete has a density ...
Concrete Yield Strength, fc'' (psi) Modulus of Elasticity, Ec (ksi) Modulus of Rupture, fr (psi) Class C 4000 3645 480 Class A 3500 3410 450 Class B 3000 3155 415 Notes: 1. Thermal coefficient of expansion = 6.0 x 10-6/°F 2. Shrinkage coefficient = 0.0002 after 28 days = 0.0005 after 1 year 3.
= modulus of elasticity of concrete E s = modulus of elasticity of steel f = symbol for stress ... Reinforced concrete is a composite material, and the average density is considered to be 150 lb/ft3. It has the properties that it will creep (deformation with long term load) and shrink (a result of
The modulus of elasticity increases as the strength of the concrete increases. The strength of concrete increases as it ages. Moisture content at the time of the test would not be a factor since when the concrete has cured the strength does not c...
Chapter 3 3.1 The Importance of Strength 3.2 Strength Level Required KINDS OF STRENGTH 3.3 Compressive Strength 3.4 Flexural Strength 3.5 Tensile Strength 3.6 Shear, Torsion and Combined Stresses 3.7 Relationship of Test Strength to the Structure MEASUREMENT OF STRENGTH 3.8 Job-Molded Specimens 3.9 Testing of Hardened Concrete FACTORS AFFECTING STRENGTH 3.10 …
· • In concrete the stress strain curve is non linear so average increase in stress wrt to average increase in strain is taken to find modulus of elasticity of concrete • So in concrete secant modulus of elasticity is used as modulus of elasticity. • But according to IS 456:2000 (Ec=5000√Fck) Fck=Characteristic compressive strength of ...
· Compressive strength test of cylindrical specimens should be performed in accordance with ASTM C 39 / C 39M for cylindrical specimens (casted molds and Cores) and ASTM C 873 for cast in place cylindrical molds. ASTM C 192 / 192M for making and curing concrete test specimens. ASTM C 617 "Standard practice for capping cylindrical concrete ...
· According to EN1992-1-1 §3.1.3(2) the following modifications are applicable for the value of the concrete modulus of elasticity E cm: a) for limestone aggregates the value should be reduced by 10%, b) for sandstone aggregates the value should be reduced by 30%, c) for basalt aggregates the value should be increased by 20%.; The values of concrete design compressive strength f cd are …
The compressive and tensile strengths and modulus of elasticity of concrete tend to decrease when concrete is subjected to elevated temperatures. Also, repeated thermal cycling causes an increase in the nonrecoverable maximum strain, and could affect the bond strength between the concrete …
· Knowledge of the tensile Young''s modulus of concrete at early ages is important for estimating the risk of cracking due to restrained shrinkage and thermal contraction. However, most often, the tensile modulus is considered equal to the compressive modulus and is estimated empirically based on the measurements of compressive strength. To evaluate the validity of this approach, the tensile ...
TABLE 2-Average Modulus of Rupture Clay Brick Concrete Brick Inspected Non-Inspected Inspected Non-Inspected Age ft V ft ft V ft V Days psi % psi % psi % pSI % Type M Mortar-UT Arlington 1/3 58.4 7.5 37.2 26.6 28. 7 8. 7 27.1 23.2 I 102.2 16.8 64.7 24.9 74.4 6.9 57.1 17.5
Concrete # of Cylinder Pairs Tested Average Modulus of Elasticity E (PSI) Average Strength F''c (PSI) Average Coefficient CAVG Calculated Coefficient CCALC Average Concrete Density (lbs./cf) Expected Coefficient CEXP S 26 4.05E+06 5,615 54,380 54,057 140.48 54,946 HP-3 21 3.81E+06 6,228 48,375 48,293 140.39 54,893 HP-4 25 3.89E+06 7,065 46,462 ...
2.3. P- and S-Wave Measurements for Estimating Dynamic Elastic Modulus. The S-wave velocity of concrete,, was measured using the P-wave velocity procedure described in ASTM C597/C597M-16 [] with a pair of S-wave transducers (ACS T1802) that were connected to a pulser-receiver (Ultracon 170) (see Figure 3(a)).The source transducer was driven by a 200 V square pulse, generating a transverse ...
L = length of specimen. ρ = density of concrete. If length of specimen is measured in mm and density ρ in kg/m 3 then-. Ed = 4n 2 L 2 ρ x 10 –15 GPa. The value of dynamic modulus of elasticity can also be determined from the relation-. Ed = ρv 2 [ (1 + µ) (1 – 2µ)/ (1 – µ)] where, v = pulse velocity in mm/s.
Calculation of Elastic Modulus of Concrete. The computation of modulus of elasticity of concrete using equations of various codes are presented below : 1. Modulus of Elasticity Based on ACI 318-14. According to ACI 318-14 section 19.2.2, the modulus of elasticity of concrete is evaluated as follows : For concrete, the unit weight(wc) ranges ...
ness of the concrete at the time of test (the drier the concrete at the time of the test the lower the modulus of elasticity—wet concrete is stiffer al-though often weaker); and the method of obtaining the deformations (strain gage, mechanical compressometer, transduc-ers, etc.). In view of the possible variability of experimental data on ...
mixtures, a fine grading (lower fineness modulus) is desir-able for workability. For richer mixtures, a coarse grading (higher fineness modulus) is used for greater economy. In some areas, the chemically bound chloride in aggregate may make it difficult for concrete to pass chlo-
Note that sections 26.5.3.2 and 26.12.1.1 of ACI 318-19, ACI 301-20 "Specifications for Concrete Construction", and ACI 311.6-18 "Specification for Testing Ready Mixed Concrete" require concrete strength tests for acceptance to be the average of at least three 4 x 8 in. (100 x 200 mm) cylinders as opposed to at least two 6 x 12 in. (150 ...
· Variation of Modulus of Elasticity with age. The variation of modulus of elasticity with time is estimated using the expression: E cm (t) = [f cm (t)/f cm] 0.3 E cm ——— (9) This formulas and relationships in this post are culled from: Bamforth P., Chisholm D., Gibbs J., Harrison T. (2008): Properties of concrete for use in Eurocode 2.