2. 200 7 100 ► 12 20 100 Figure a Dimension in "mm"

Solve NA and NB, I got NB correct and NA wrong. Please show all work.

Example: Resolve the horizontal 600 N force in shown into and components acting along the u and v axes determine the magnitudes of these components. F 30° 130 600 lb

1. Use the force method to calculate the redundant reaction of the indeterminate beam. E is constant, I varies as shown below. (40 points – Suggested time 45 minutes) 4 k/ft 5 k 50 k.ft 10 ft 5 ft 5 ft 5 ft 21

Consider the frame as shown in figure. Assume A is a pin jointed support and C is a roller jointed support. The maximum bending moment occurs at a point R, the distance of R from A measured vertically from A is 40 kN/m 4 m 80 kN 2 m 2m 3 m

A structure consists of two thin rectangular plates having the same dimensions (shown in figure) and same mass, m = 8 kg esch. The two plates are welded together to form a rigid body that may rotate in the plane. Determine, for this rigid body, the moment of inertia ly about the fixed point P. P is frised

In the beam depicted above, ?A is a fixed support. The magnitude of ?=365?/?W=365N/m, ?=60?P=60N and all lengths denoted by ?=1.5?a=1.5m. The system is in equilibrium. Using the given sign convention, answer the following questions. a) Calculate the vertical component of the external reaction at ?A in ???????Newtons. b) Calculate the horizontal component of the external reaction at ?A in ???????Newtons. c) Calculate the moment component of the external reaction at ?A in ??????Newton ??????metres. d) Calculate the shear force at point ?B in ???????Newtons.  e) Calculate the bending moment at ?B in ??????Newton ??????metres. f) Calculate the shear force at point ?D in ???????Newtons. g) Calculate the bending moment (absolute value) at ?D in ??????Newton ??????metres. h) Calculate the shear force at point ?E in ???????Newtons. i) Calculate the bending moment at ?E in ??????Newton ??????metres. j) Calculate the shear force at point ?H in…

150 mm 60 mn 300 nm 000 m 50 mm 5 m B 25 kNm 5 m 10 KN A beam is created by nailing 3 planks together with 2 rows of nails as shown above. The beam exhibits a pin support at A and is suspended by a cable at B. A concentrated load of 10 kN is applied at the free end while a moment of 25 kNm is applied at location B. a) Determine the second moment of area (I) of the cross-section b) Draw the free body diagram, shear force diagram, and bending moment diagram of the beam c) For the maximum shear force on your SFD, determine the maximum and minimum shear stresses at the interface between the horizontal and vertical planks d) For the maximum shear force on your SFD, Determine the shear stress at the neutral axis

Shown below are 4 different rigid bodies, supported in different ways. For each of the rigid bodies, with proper free body diagrams, please determine all the support reactions. Value of the applied forces is F = 100 N, P = 200 N and L = 3 m. a. In figure a, support is a pin at A and a roller at D. Pin at A resists translation in the horizontal and vertical direction, and roller at D only resists translation in the vertical direction. b. In figure b, support at A is a pin it similar to part a of the problem), and support at D is a roller on an incline: note that here, the roller support reaction will be normal to the incline. c. In figure c, support at A is a roller, and support at D prevents translation in the horizontal direction, and also prevents rotation. So, there will be two support reactions at D. Think of what they may be? d. In figure d, support at A is a cantilevered end. B 30° (a) (b) |F | F |P (c) (d) /3

A beam supported by three identical springs at points A,B,C (see figure). Given that flexural of rigidity of the beam, EI= 2.029X1011 N.mm2 ; spring constant,k = 1471.5N/mm, w=116N/mm All dimensions are in mm. 1. What is the reaction for at point A,B and C? 2. What is the deflection at point B? 3. Please draw shear-force and bending moment diagram.