Numerade

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INSTANT ANSWER

Continuous cable ADB runs over a small frictionless pulley at D to support beam OABC which is part of an entrance canopy for a building (see figure 3). A downward distributed load with peak intensity q0 = 5 kN/m at O acts on the beam. Assume that canopy weight W = 8 kN and that cable cross-sectional area is 100 mm2 . a) Find cable force T and pin support reactions at O and D b) Find the normal stress in the cable in the cable ADB c) Determine the required diameter of pins A, B, D and O if the pins are in double shear and the allowable shear stress is 80 MPa? Note that OA = AB = BC = 1.5m.

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INSTANT ANSWER

A roof truss and the detail of the riveted connection at joint B, see Fig. 2. Using allowable stresses of ? = 70 MPa and ?? ? 140 ???, how many 22-mm diameter rivets are required to fasten members BC and member BE to the gusset plate. What is the largest average tensile or compressive stress in BC and BE?

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INSTANT ANSWER

A continuous cable (diameter 6 mm) with tension force T is attached to a horizontal frame member at B and C to support a sign structure, Fig. 1. The cable passes over a small pulley at D. The wire is made of a copper alloy, and the stress-strain relationship for the wire is (a) Find the axial normal strain in the cable and its elongation due to the load W = 6.8 kN (b) If the forces are removed, what is the permanent set of the cable. Hint: Start with constructing the stress-strain diagram and determine the modulus of elasticity, E and the 0.2% offset yield stress.

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ANSWERED

Shaik Dadasaheb

Numerade educator

The following data were recorded during the tensile test of a 14-mm diameter mild steel rod. The gage length was 50 mm. at fracture, the elongation between the gage marks was 4.0 mm and the minimum diameter was 11.3 mm a) Plot the conventional stress-strain curve for the mild steel b) determine the proportional limit c) Modulus of elasticity d) Yield stress at 0.2% e) Ultimate stress f) Breaking strength g) Percent elongation in 50 mm and reduction in area Load (N) Elongation (mm) 0 0 6310 0.01 12600 0.02 18800 0.03 25100 0.04 31300 0.05 37900 0.06 40100 0.163 41600 0.433 46200 1.25 52400 2.5 58500 4.5 68000 7.5 59000 12.5 67800 15.5 65000 20 61500 Fracture

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Mercy N.