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A solid steel bar with rectangular cross-section whose dimensions are 100mm by 175 mm is


loaded in tension with a pull of 186.5Mg. After which, it is loaded in compression with a push of


170Mg. If the load P used to bend the steel bar is the average of the tensile and compressive


load and there is bending and shear in the cross-section, Calculate the following:


a. Tensile Strength


b. Shear Strength

A 150-kg sample of Steel is heated to a temperature of 143°C and elongates by 58 mm. If its


temperature before it is heated is 37°C, specific heat is 0.46 J/g-K and its length extends to


420 mm, calculate the following:


a. Heat absorbed or thermal conductivity


b. Linear expansion coefficient

A 200-kg sample of Granite is heated to a temperature of 98°C and elongates by 25mm. If its


temperature before it is heated is 25°C, specific heat is 0.80 J/g-K and its length extends to


250mm, calculate the following:


a. Heat absorbed or thermal conductivity


b. Linear expansion coefficient

A 175-kg sample of Copper is heated to a temperature of 116°C and elongates by 35mm. If


its temperature before it is heated is 20°C, specific heat is 0.38 J/g-K and its length extends to


330 mm, calculate the following:


a. Heat absorbed or thermal conductivity


b. Linear expansion coefficient

In a sample of sand, water seeps at a volume of 158 cm3 in 7.89 minutes. If the seepage area


and thickness of the specimen are 69 cm2


and 0.628 m, respectively, what is the permeability


coefficient? The water has a head of 34 cm.

A sample of concrete has a compressive strength of 21.07 MPa in dry state and in its


saturated state, its compressive strength is 14.25 MPa. Find the Softening Coefficient of the


material.

A material has a natural mass of 250 g; its density is 3.6 g/cm3; apparent density of 2.75 g/cm3 and bulk density is 3.64 g/cm3, and saturated mass is 285 g. If the dry volume is 58 cm3, calculate the following:


a. Moisture content


b. Specific absorption of Quality


c. Specific absorption of Volume

A material has a dry mass of 295 g and bulk density is 3.85 g/cm3. If the dry volume is 68 cm3, calculate the following:


a. Fill Rate


b. Voidage

A material has a dry mass of 115 g, volume in natural state is 55cm3, volume in absolute compact state is 35 cm3 and volume in oven dry state is 30 cm3. Calculate the following in kg/m3:


a. Density


b. Apparent density


c. Bulk Density


d. Solidity


e. Porosity

A concrete mixture needs 660 kg dry sand and 1240 kg dry stone. It is known that the water


content of the existing sand is 4% and that of the stone is 1%. Calculate the amount of wet


sand and wet stone respectively.

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