A sign ABCD is constructed from 5 mm thick plate steel (density p =8000 kg/m³) with the geometry shown in the figure. The sign is connected to the wall by a pin at A and also supported by member BE. Support member BE is also constructed from 5 mm thick plate steel and is connected by pins at B and E respectively. Determine the reaction forces at A and E. Enter your answers in Cartesian components. The weights of both the sign ABCD and member BE should be accounted for in the calculation. Assume the pins cm away from the ends at each are located a distance พ connection. = E CC BY NC SA 2016 Eric Davishahl -a- 2 B X C D W -b- h Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 2.4 m b 2.88 m с 1.2 m h 1.152 m 3 7 cm The reaction at A is A -394 The reaction at E is E 199 0 ☑i+ N. = 0 × N. ☑i+

A sign ABCD is constructed from 7 mm thick plate steel (density p=8000 kg/m³) with the geometry shown in the figure. The sign is connected to the wall by a pin at A and also supported by member BE. Support member BE is also constructed from 7 mm thick plate steel and is connected by pins at B and E respectively. Determine the reaction forces at A and E. Enter your answers in Cartesian components. The weights of both the sign ABCD and member BE should be accounted for in the calculation. Assume the W pins are located a distance cm away from the ends at each connection. W C W Cci❀O BY NC SA 2016 Eric Davishahl A E -a- W→ B X C D W h Values for dimensions on the figure are given in the following table. Note the figure may not be to scale.

Answer FOUR questions ONLY selecting TWO questions from SECTION A. 1. (a) The vertical structure ABCD shown in Figure 1(a) is subjected to a system of coplanar forces and a moment. The structure is simply supported at D with a frictionless pin and is roller-supported at A. i Sketch the free body diagram (FBD). Take moments about D and hence find the reaction force at support A. ii. 35 AN 23m 60 100 km Osm Figure 1(a) (b) An assembly of a steel bar enclosed within an aluminium alloy tube is shown in Figure 1(b). The tube and the bar are of the same initial length. The combination is compressed between two rigid parallel plates by a force of 500 kN. The diameter of the steel bar is 40 mm, and the inside and outside diameters of the alloy tube are 60 mm and 100 mm respectively. The Young's moduli for steel and aluminium alloy respectively are Est = 200 GNM2, EA = 70 GNm?. Find the stresses generated in the steel bar and the aluminium alloy tube. Sael he -Rid pl Figure 1(b)

2. Auniform bar 3.00 m long is held by ropes at the ends making angle 60.0° and 30.0°, respectively, with the horizontal. A weight of 200 N is hung 0.500 m from the left end where the 60.0° rope is attached. Find the tension in the ropes (T1 & T2) and the weight (W) of the bar. (Hint: Formulate three equations for the three unknowns, 2 equations for the 1st condition and 1 equation for the 2nd condition.) 3.00m T2 7 0.500m 60.0 B 200 N

Draw the FBD. :Solve the support reactions in the equilibrium of the following as indicated in the figure.

A 400 N gas sign hangs from the end of a uniform strut BC. The strut is 4 m long and weighs 600 N. The strut is supported by a hinge at the wall at C and by a cable whose other end is tied to the wall at point A 3.0 m above the left end of the strut. Find the tension in the supporting cable and the force of the hinge on the strut. 5.0 m 3.0 m 4.0 m B GAS TAB= 1333 N TAB= 1167 N TAB= 400 N TAB= 1000 N leave the question 4 Other: Q 4 4 points Rc= 980 N O Rc= 360 N Rc= 890 N Rc= 1085 N O O O O O O O

5. A 5m-long bar AB is supported by a ball-in-socket support at A, the cable CD and a smooth floor at B. A force F = -10 i (N) is applied at G. Here, D is at the midpoint of the bar AB, G is the midpoint of AD, and C is the midpoint of OE. Here, the line BE is parallel to x-axis. Neglect the weight of bar AB. Use the scalar method to determine the tension in cable CD and the reactions at A and B. (Hint: you can break the tension force by cable DC to its components.) (F-9.015N, FB=3.75N, 4, 5N, A, ON, A==3.75N). x 3m

2:35 ll Solution and proble... 5/101 Determine the reactions at A and B for the beam subjected to the uniform load distribution. 4 kN/m B 300 mm -500 mm Problem 5/101 5/102 Calculate the support reactions at A and B for the loaded beam. 100 lb/ft 80 lb Problem 5/102 5/106 Determine the reactions at the supports of the beam which is loaded as shown. 800 N/m 400 N/m

Perpendicular to the plane of the figure whose width b = 2 mthe planar AB cover is articulated at point B.F = 7620 Newton force from point Ais implemented. Weight of cover W = 5600 Nfor the state of equilibrium, hFind.Note: Specific mass of water ρsu = 1000 kg / m3Is.

Please be clear with your solution. Write an explanation for the formula and solution you used.