The compressive required for the shortening of 0.1 mm for in a steel rod of length 1 m and diameter 28 mm is (E = 200 GPa)

A bronze pipe (1) is to be connected to an aluminum alloy pipe (2) at flange B. When put in place, however, a gap of A = 0.25 in. exists between the two pipes. Bronze pipe (1) has an elastic modulus of E, = 16,000 ksi, a cross-sectional area of Ay = 2.99 in.7, and a length of L1 = 6.6 ft. Aluminum alloy pipe (2) has an elastic modulus of E, = 10,000 ksi, a cross-sectional area of A, = 1.00 in. 2, and a length of L2 = 10.6 ft. If bolts are inserted in the flanges and tightened so that the gap at B is closed, determine: (a) the normal stresses produced in each of the members. (b) the final position of flange B with respect to support A.

A 260 mm bar AB with a rectangular cross section of 17 x 30 mm, consists of two aluminium layers with cach being 6 mm thick and brazed to a centre steel layer of 5 mm thickness as shown in Figure Q3. An axial tensile force of P- 37 kN is applied to the assembly by means of a rigid end cap at B. Given that the assembly is fixed at end A and the Young's modulus of aluminium and steel are E.= 70 GPa, Es= 200 GPa, respectively, determine: i Whether this structural configuration is statically determinate or statically indeterminate, and clearly explain your reasoning. ii. The normal forces in the aluminium layers and the steel layer i. The normal stress in the aluminium layers and the steel layer. State whether the stresses are in tension or compression iv. Determine the deformation of the assembly Cross section of the bar 6 mm 5 mm 6 mm 30 mm 260 mun Aluminium. Steel- Aluminitum Nא 37 30 mm

In figure shown below B 960 Imm 640 N 3 280 mm 960 N a. Determine the tension in segment AC b. Determine the tensibn in segment BC

In the figure shown, the AB part of the rod is made from brass while the BC part is fabricated from aluminium, both parts are restrained at the ends. Find: 1) The normal stresses OAB and OBC + when the temperature is increased to 42°C. 2) The deflection at point B (8B) Brass: ab=20.9*10-6 1/°C, Eb=105GPA Aluminum: aa=23.9*10-6 1/°C, Eal=72GPA //// A 60 mm diameter 1.1 m B 40 mm diameter 1.3 m Aluminum Brass

A cantilever beam with a ‘T’ shaped cross-section is loaded with a distributed load as shown below.The intensity of the distributed load is 100N/mm. b = 6.25mm and c=6.25mm.Parameter Description Value UnitsL - Beam length 250 mma - Width of the flange 80 mmd - Height of the web 75 mmσ - Yield stress 250 MPaYou are tasked with ensuring the beam can withstand the applied loading. To do this you must:a) Calculate the centroid for the given cross-section. Your value of ?ത should be measured fromthe bottom of the section. Determine an expression for Q (statical moment of area) for thegiven shape. The expression(s) for Q should be in terms of the variable, y, measured from thebottom of the section. b) Create a graph of the shear and bending stresses at the fixed support (B) over the crosssection. The stresses should be plotted as a function of y, measured from the bottom of thesection.

A bronze pipe (1) is to be connected to an aluminum alloy pipe (2) at flange B. When put in place, however, a gap of A = 0.20 in. exists between the two pipes. Bronze pipe (1) has an elastic modulus of E1 = 16,000 ksi, a cross-sectional area of A1 = 2.68 in.2, and a length of L1 = 6.8 ft. Aluminum alloy pipe (2) has an elastic modulus of E2 = 10,000 ksi, a cross-sectional area of A2 = 1.08 in.2, and a length of L2 = 9.2 ft. If bolts are inserted in the flanges and tightened so that the gap at B is closed, determine: (a) the normal stresses produced in each of the members. (b) the final position of flange B with respect to support A. %3D %3D %3D L1 L2 В Cl (2) (1) Answer: (a) 01= ksi ksi 02= (b) бв/А - in.

Q19: In Figure below, what is the ratio of P to F h Waer Hinge Sec A-A

Q # 4: An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown in Figure. Axial loads are applied at the positions indicated. The value of P is limited to 20 KN in bronze, 72 KN in aluminum and 28 KN in steel Find the area of each section that will not exceed a stress in steel of 280 MPa, in aluminum of 180 MPa, or in bronze of 200 MPa. CLO -2 Steel Aluminum Bronze 2P 4P 2.5 2.0 1.5

A compressive load P is transmitted througha rigid plate to three magnesium-alloy bars that areidentical except that initially the middle bar is slightlyshorter than the other bars (see figure). The dimensionsand properties of the assembly are as follows:length L = 1.0 m, cross-sectional area of each barA = 3000mm2, modulus of elasticity E = 45 GPa,and the gap s = 1.0 mm.(a) Calculate the load P1 required to close the gap.(b) Calculate the downward displacement d of therigid plate when P = 400 kN.(c) Calculate the total strain energy U of the threebars when P = 400 kN.(d) Explain why the strain energy U is not equal toPδ / 2. Hint: Draw a load-displacement diagram.