CIVIL ENGINEERING STATICS - CIVL1004 1 of 2 MATS-1016 ASSIGNMENT #1 Due in FOL DropBox February 4, 2021 @ 12pm Name: ___________________________________ Your Mark: /30 Show all your work on grid paper...

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CIVIL ENGINEERING STATICS - CIVL1004 1 of 2 MATS-1016 ASSIGNMENT #1 Due in FOL DropBox February 4, 2021 @ 12pm Name: ___________________________________ Your Mark: /30 Show all your work on grid paper (provided on FOL) and write your final answers with appropriate decimal places, correct sign/units …etc. in the spaces below. Scan all your pages (including these cover pages) to a single pdf file and submit to FOL …marks maybe deducted for neatness and/or not following instructions. 1. Calculate the internal reactions in sections M-M and N-N for the member shown. (6 marks) FMM = ________________ FNN = _________________ VMM = ________________ VNN = _________________ MMM = ________________ MNN = ________________ 2. A 1/8 inch steel wire is 450 feet long and weighs 0.042 lb/ft. If the wire is suspended vertically from its upper end, calculate the maximum tensile stress due to its weight. Also, find maximum weight W which it can safely support at its lower end if the maximum stress in the wire is not to exceed 24,000 psi. (4 marks) σ = __________________ W = __________________ 3. The knuckle joint shown carries a load P = 62 kN and is assembled using a pin with an ultimate shear strength of 42.5 MPa. Find the minimum pin diameter if it must have a factor of safety of 1.5. (3 marks) d = __________________ 4. A steel rod 20 mm in diameter is subjected to an axial pull of 20 kN. Given E = 200 GPa and G = 79.3 GPa, determine the axial and transverse strains in the rod. (5 marks) ε = __________________ εt = __________________ MATS-1016 ASSIGNMENT #1 Winter 2021 2 of 2 5. An aluminum plate with E = 70 GPa and G = 26.3 GPa is subjected to a compressive axial force of 22 kN as shown. The plate has a length L = 100 mm, width B = 20 mm and thickness T = 5 mm. Determine the deformation δ in the Length L, in the width B and in the thickness T. (6 marks) δL = __________________ δB = __________________ δT = __________________ 6. A 900 mm high concrete pier has a 250 by 250 mm cross-section and is reinforced by five 25 mm diameter steel reinforcing bars. If the pier has an axial compressive load of 900 kN applied through rigid end plates, calculate the axial stresses in the concrete and the steel as well as the total deformation of the pier. Es = 200 GPa and Ec = 21 GPa. (6 marks) σc = __________________ σs = __________________ δT = __________________