A rigid beam ABCD is supported by a pin at B and two cables located at...
2.5-10 A rigid bar ABCD is pinned at end A and supported by two cables at points B and C (see figure). The cable at B has nominal diameter dB - 12 mm and the cable at C has nominal diameter de 20 mm. A load P acts at end D of the bar. What is the allowable load P if the temperature rises by 60°C and each cable is required to have a factor of safety of at least...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the vertical deformation of the spring if the spring constant is 700 kN/m. (ans: 21.43 mm) 2. A steel cable with a nominal diameter of 25 mm is used in a construction yard to lift a bridge section weighing 38 kN. The cable has an...
(5 pts) Rigid bar ABCD is supported by bars BE and CF and a pin at A. There is no strain in the vertical bars before P is applied. After P is applied, the normal strain in bar BE is -1100 strains (i.e., -1100 x 10-6 mm/mm) Determine: 1425 mm 200 mm 320 mm 100 mm Rigid bar 860 mm a) the normal strain in bar CF. b) the normal strain in bar CF if there a 1-mm gap in...
The rigid bar shown is supported by axial bar (1) and by a pin connection at C. Axial bar (1) has a cross-sectional area of A1 = 250 mm2, an elastic modulus of E = 200 GPa, and a coefficient of thermal expansion of α= 11.3 × 10-6/°C. The pin at C has a diameter of 40 mm. After load P has been applied and the temperature of the entire assembly has been increased by 10°C, the total strain in...
5) Two rigid members (AE and ABCD) are connected by a pin at A. CK is another rigid bar supported by a fixed-end at K. The contact at C is frictionless and D is and the tension on the cable AH is 52 kN, a roller. If the system is in equilibrium a) draw free body diagrams of all rigid members (AE, ABCD and CK), b) determine P (kN) w (kN/m), all reaction forces (or force components) at A, C,...
The pin-connected structure shown in Fig. 5 consists of a rigid bar ABCD and two 1,500-mm-long bars. Bar (1) is steel [E=200 GPa] with a cross-sectional area of A1 = 510 mm2. Bar (2) is an aluminium alloy [E-70 GPa] with a cross-sectional area of A2 1,300 mm2. All bars are unstressed before the load P is applied. If a concentrated load of P 200 kN acts on the structure at D determine: (a) the normal stresses in both bars...
A rigid bar ABCD is supported by two bars as shown in Figure below. There is no strain in the vertical bars before load P is applied. After load P is applied, the normal strain in bar (1) is - 570 μm/m. Determine: (a) the normal strain in bar (2) (b) the normal strain in bar (2) if there is a 1 mm gap in the connection at pin C before the load is applied. (c) the normal strain in bar (2) if...
A pin-connected beam AC shown in Figure is supported by 1.6m of strut BD. The beam is subjected to uniformly distributed load of 20 kN/m at 2.5m from A and an inclined concentrated load of 30 KN with 30℃ angle at respectively. The beam has a constant cross-sectional area of Abm = 0.004 m2 and the strut has a constant cross sectional area of Ast = 0.002 m2 respectively. The diameter of all pins is 20 mm. I. Determine the resultant...
The rigid frame shown below is supported by Pin A and Roller C. [Point B is a rigid joint.] The frame supports a uniformly distributed load of 20 kN/m (downward) in Region BC, and a 250 kN point load (downward) located halfway between Pin A and rigid joint B. The modulus of elasticity of the entire frame is E = 200 GPa and the moment of inertia is I = 500 x 106 mm4. Determine the rotation (slope) at Joint...
6) 2.5-16 2.5-16 A rigid bar ABCD is pinned at end A and supported by two cables at points Band C (see figure). The cable at B has a nominal diameter dg - 12 mm and the cable at Chas a nominal diameter dc = 20 mm. A load Pacts at end D of the bar. What is the allowable load P if the temperature rises by 60°C and each cable is required to have a factor of safety of...