Determine the global stiffness matrix of the beam shown in Fig. 3. Assume supports at 1 and 3 are rollers and the support at 2 is a pinned support.  Indicate the degrees of freedom in all the stiffness matrices. EI is constant, w=60kN/m, L1=1.25m and L2=3.45m   please explain how the code numbers for global matrix are determined in detail

Thermodynamics: Mass and Energy Analysis Of Control Volumes  A 50-L electrical radiator containing heating oil is placed in a 50-m3 room. Both the room and the oil in theradiator are initially at 5◦C. The radiator with a rating of 3 kW is now turned on. At the same time, heatis lost from the room at an average rate of 0.3 kJ/s. After some time, the average temperature is measuredto be 20◦C for the air in the room, and 60◦C for the oil in the radiator. Taking the density and the specificheat of the oil to be 950 kg/m3 and 2.2 kJ/(kg◦C), respectively, determine how long the heater is kept on.Assume the room is well-sealed so that there are no air leaks.

= 20 kips = 20 kips B w₁ = 2 kips/ft 20" 12'- 7760 12" 6"

= 20 kips = 20 kips B w₁ = 2 kips/ft 20" 12'- 7760 12" 6"

Calculate ALL nodal displacements and ALL the member forces in the truss. Please use the ID's noted in the truss diagram and draw relevant FBD's

Problem 3 For the beam and loading shown, consider section n-n and determine (a) the largest shearing stress in that section, (b) the shearing stress at point a. 1ft 15 kips 20 kips 15 kips AITT in 1 0.6 in. -10 in. 1 in. 0.375 in.- 2 ft 2ft 2 ft 2ft 10 in. 1 0.6 in.

4. An edge e can be (x) always full, (y) sometimes full,(z) never full; it can be (x') always crossing, (y') sometimes crossing, (z') never crossing. So there are nine possible combinations: (xx') always full and always crossing, (xy) always full and sometimes crossing, and so on. Or are there? Maybe some possibilities are impossible. Let's draw a table: The edge e is: always full sometimes full never full Possible Possible always crossing f:2 or or S e: 1 impossible? impossible? Possible Possible sometimes crossing f:1 or or 8 e: 1 impossible? impossible? Possible Possible Possible never crossing or or or impossible? impossible? impossible? Take a piece of paper, complete the 3 × 3 table below by either finding an example illustrating that the combination is possible or by concluding that it is impossible. To do so, you will need the Max Flow Min Cut Theorem plus a bit of your own thinking. Once you have completed the table, select which of the following statements are true: There is…

Structural analysis q

In the figure, all loads are factored, and the uniform load includes self-weight. Use #3stirrups. fc′ = 4 ksi, and fy = 75 ksi.(a) What stirrup spacing is required at section A?(b) How will this spacing change at section B?(c) Indicate the region of the beam where stirrups are not required.