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If 70 psi is the correct conversion, it is an extremely low 7-day strength.
Even mortar mixes (3 parts sand to 1 part mortar cement) designed to yield only 1200 psi 28-day breaks will have strengths of several hundred psi at 7 days.
Something is very wrong unless you are performing tests on CLSM (Controlled Low Strength Materials) type mixes. Most likely the measurement itself is to blame. Strengths for cubes are very sensitive to manufacturing defects. Did you break the cube directly on the steel platen or did you break it with sulfur caps?
Did you use air entrainment? Overdosing coupled with extended mixing times can whip too much air into the sample. Does the sample density indicate more than 8% air entrainment?
Did you use a water/cement ratio greater than .45? This can cause the air content to go crazy with air entrainers and will cause laitance. If you had a weak layer due to laitance, it could initiate cracks at low strength that fool you to think that the specimen had failed. Was the sample tested to ultimate failure? Did the failed specimen have the characteristic hourglass shape for a proper break? Did the break fail any of the aggregate or is aggregate intact along the break? If aggregate is broken, it is very likely that the measurement methodology is to blame. If aggregate is intact, it is likely a manufacturing issue.
Were pozzolans used? Some pozzolans (silica fume, fly ash, bagasse ash, incinerator ash) can kill the strength of samples if they are used at a cement replacement levels greater than 25% to 30%.
What was the strain rate of the press? Strain rate can affect the measured strength of samples but not this much! Shock loading usually gives high strength values.
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