Q.1. (10 Marks) The rigid bar AB is supported by the pin-connected rod BC that has...
Rigid bar is supported by a pin-connected axial bar (1) and a pin connection at C as shown in Figure Q1. Member (1) is a 20 mm wide by 9 mm thick rectangular bar made of Steel Alloys (A992). The total strain in bar (1) is measured as 925 ue (925x10°). The pin at C has an ultimate shear strength of ty = 345MPa. Determine: (a) The axial force in member (1). [9 marks] (b) The factor of safety in...
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 uniformly-distributed load wis supported by a structure consisting of rigid bar BDF and three rods. Rods (1) and (2) are 17-mm-diameter stainless steel rods that have an elastic modulus of E = 199 GPa. Rod (3) is a 23-mm-diameter bronze rod that has an elastic modulus of E = 101 GPa. Use a = 1.5 m and L = 3.1 m. For a load magnitude of w = 36 kN/m, calculate (a) the normal stress in each rod. (b)...
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...
2 The steel rod BC is attached to the rigid bar AB and to the fixed support at C. Knowing that G= 77GPa, determine. i the diameter, d of rod BC for which the critical load P., of the system is 350N. ii. the critical load P., for the system when d = 12 mm. 375mm Figure 2 500mm
A load P is supported by a structure consisting of rigid bar BDF and three identical 17-mm-diameter steel [E199 GPa] rods, as shown in the figure. Use a 3.3 m, b2.0 m, and L 51 kN, determine 3.9 m. For a load of P (a) the tension force produced in each rod. (b) the downward vertical deflection of the rigid bar at B 2) (a) Fi KN KN kN (b) vg-
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...
Member ABD is supported by a pin at A and a solid round rod BC. If the diameter of rod BC is 12 mm, determine the normal stress at the midpoint of BC 1. 300 N/m 1.5 m 2 m 2 m The clevis pin at C in the figure above, has a diameter of 5 mm and is in double shear. The pin is made of AISI 1020 hot-rolled steel. Determine the factor of safety of the pin with...
Rigid bar \(A B C\) is supported by a pin at bracket \(A\) and by tie rod (1) . Tie rod (1) has a diameter of \(9 \mathrm{~mm}\), and it is supported by double-shear pin connections at \(B\) and \(D .\) The pin at bracket \(A\) is a single-shear connection. The pin at \(B\) is \(7 \mathrm{~mm}\) in diameter. Assume \(a=520 \mathrm{~mm}, b=260 \mathrm{~mm}, h=390 \mathrm{~mm},\) and \(\theta=50^{\circ} .\) If the normal stress in tie rod (1) cannot exceed 200...
Problem 1: The rigid beam is supported by a pin at C and an A-36 steel wire AB. If the wire has a diameter of 0.2 in., determine how much it stretches when a distributed load of w= 100lb/ft acts on the beam. The material remains elastic. (E = 29(10") ksi or 200 GPa) St 5ft с 30° B w 10 ft