A rectangular bar of length L has a slot in the central half of its length. The bar has width b, thickness t, and elastic modulus E. The slot has width b/3. If L = 400 mm, b = 51 mm, t = 11 mm, and E = 64 GPa, determine the overall elongation of the bar for an axial force of P = 32 kN. b.

Determine the vertical displacement of joint C.  The length, L, of trusses AC, BC is 1,000 mm. The applied force at joint C, is 9.5 kN. The cross-sectional area of both trusses, A, is 370 mm2. The elastic modulus of truss AC, E1, is 115 GPa. The elastic modulus of truss BC, E2, is 155 GPa.

Compound axial member ABC has a uniform diameter of d = 1.2 in. Segment (1) is an aluminum [E₁ = 10,000 ksi] alloy and segment (2) is a copper [E₂ = 17,000 ksi] alloy. The lengths of segments (1) and (2) are L₁ = 80 in. and L2 = 140 in., respectively. Determine the force P required to stretch compound member ABC by a total of 0.10 in. LI L2 A d Aluminum Copper Answer: P = i B kips

Rigid bar ABCD is supported by two bars as shown in Figure P2.7. There is no strain in the vertical bars before load P is applied. After load P is applied, the normal strain in bar (2) is measured as –3,300 um/m. Use the dimensions L1 = 1,600 mm, L2 = 1,200 mm, a = 240 mm, b = 420 mm, and c = 180 mm. Determine:(a) the normal strain in bar (1).(b) the normal strain in bar (1) if there is a 1 mm gap in the connection at pin C before the load is applied.(c) the normal strain in bar (1) if there is a 1 mm gap in the connection at pin B before the load is applied.

A P = 10 kip 1.5 ft B C 2 ft The bars in the structure to the left are pinned and have circular cross-sections. The diameter of the cross- section is 1.5 inches. The bars are made of steel, which has an elastic modulus of 29,000 ksi. A point force of 10 kips is applied at point C, as shown. What is the change in length of member BC? Is the bar getting longer or shorter?

Rigid bar DB in the figure is supported at pin B by axial member ABC, which has a cross-sectional area of A1 = A2 = 85 mm², an elastic modulus of Ej = E2 = 1000 MPa, and lengths of L = 390 mm and L2 = 645 mm. Aload of Q = 555 N is applied at end Cof member (2), and a load of P = 1425 N is applied to the rigid bar at a distance of a = 85 mm from pin support D and b = 45 mm from pin B. Determine the magnitudes of the downward deflections of: (a) pin B. (b) pin C. A |(1) Rigid bar B a b. L2 (2) (a) VB = i mm (b) vc = i mm

1. A Using E = 100 GPA. IN.A. = 1,500 x 10 mm², compute the SUPPORT REACTIONS of the loaded beam shown when: a. supports are unyielding. b. support at the midspan yields 4 mm. 4m 60 KN/m B 2m www 10 KN C D 2m

The force in DB of the truss shown in below figure is W A C O VW tension 5m √3 W compression 2 W compression 5 W tension E D 2W 5m B

The fixed-end bar ABCD consists of three prismatic segments, as shown in the figure. The end segments have cross-sectional area A1 = 840 mm2 and length L1 = 200 mm. The middle segment has cross- sectional area A2= 1260 mm? and length L2 = 250 mm. Loads Pg and Pc are equal to 25.5 kN and 17.0 kN, respectively. (a) Determine the reactions RA and Rp at the fixed supports. (b) Determine the compressive axial force FBC in the middle segment of the bar. A1 - A2 A1 PB Pc A D B L -L1