Rigid bar ABC is supported by bronze rod (1) and stainless steel rod (2) as shown in the figure. A concentrated load of P = 24 kips is applied to the free end of bronze rod (3). Determine the magnitude of the deflection of rod end D after the temperature of all rods has increased by 115 Fo. Use the following dimensions and properties: a = 3.5 ft, b = 7.5 ft. Rod (1): d 1= 1.10 in.,L 1= 12 ft , E 1= 15,200 ksi , a 1= 12.20 × 10 - 6 /Fo. Rod (2): d 2 = 0.65 in. , L 2 = 10 ft , E 2 = 28,000 ksi, a 2 = 9.60 x 10 - 6/Fo. Rod (3): d 3 = 1.15 in. , L 3 = 6 ft, E3 = 15,200 ksi , a 3 = 12.20 x 10 - 6/Fo. (1) L (2) b L2 a Rigid bar A (3) L3 P vD = i in.

The three equally spaced vertical rods in Fig. (a) are securely attached to a rigid horizontal bar. The two outer rods are made of an aluminum alloy, and the middle rod is steel. The cross- sectional areas of the rods are shown in the figure. Determine the residual stresses in the rods after the load P has been increased from zero to the limit load and then removed. The material properties are E = 70 GPa, Oyp = 330 M Pafor aluminum, and E = 200 GPa, Typ 290 MPa for steel. Neglect the weight of the bar. Aluminum 600 mm² Steel (a) շատ (06 Aluminum 600 mm² 250 mm 100 mm

= 29,000 For the structure and loading shown below, find the lateral deflection at the top. Use E ksi and I = 250 in4 for all members. Note that in frames, we neglect axial deformation, so you can calculate the deflection at either of the upper corners; the answer will be the same. t. 201 8K 10! 1. What is the deflection at the top in inches (two decimal places) ot

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Non uniform beam Flexural Rigidity that is _y(x) = fixed support on left Simple support 07 right P 2.26 meters long 141702000 6441 + 100x Find the deflection of the bean if it is uniform distributed load of under a 92 N/m TPE Nm²

Double U anti-vibration shear mount No. 2. The 16 mm by 22 mm by 25 mm rubber blocks shown in Figure No. 2 are used in a 22 double-U shear mount to isolate the vibration of a machine from its supports. An applied load of P = 285 N causes the upper frame to be deflected downward by 5 mm. Determine Rubber block dimensions Shear deformation of blocks the shear modulus G of the rubber blocks. FIGURE No 2.

For the beam shown in Figure 3, a) Determine the maximum compressive bending stress in the beam. State exactly what location on the beam and where on the cross-section this maximum compressive bending stress occurs. b) Use the double integration method to calculate the deflection at point A, located at the end of the cantilever Given: E = 200 GPa A 5 kN/m 2 m BA 3 m 44 2 kN.m 75 mm 150 mm

Subject: structural theory Have complete solution per figure

Calculate the maximum deflection of a uniformly loaded simple beam having a span length L=2m, the intensity of uniform load q=2KN/m and the maximum bending stress is 60mpa.The cross section of beam is square,and the material is aluminum having modulus of elasticity E=70Gpa

Q2: The simply supported beam shown as Figure 5. below is subjected to Loading as shown on the Figure. Using integration method. Find the maximum Lenght (L) so that the max. deflection is not greater than 30mm for the Beam.. The flexural rigidity (El) of Beam section El = 50*10% KN.m? “4m e | Sm