A point load of 2.236kN is applied at point 3 of a frictionless pin- jointed structure which consists of members as shown in Fig Q2. Displacements at point 1 are fixed in x and y directions whereas only displacement in y direction is fixed at point 2. Member 1 has end points 1 and 2, member 2 has end points 2 and 3 and member 3 has end points 1 and 3. The cross sectional areas of member 1, 2 and 3 are 500 mm², 250 mm² and 1414.42 mm² respectively. Length of both member 1 and 2 is 10 m. Young's modulus (E) for all members is 200,000 N/mm². (a) N 2.236 KN 117 Fig Q2: Pin-jointed structure Write down element stiffness matrix for each member and assemble the global stiffness matrix for the whole structure.

a. Draw the Free Body Diagram (F.B.D), considering a section perpendicular to thelongitudinal axis. Please clearly show that sectional plane along with the upperportion of the body. b. Shall there be any shear and/or moment as an internal loading on the section,which you already have drawn? c. Develop the equilibrium equation. d. Write down the compatibility equation. e. Determine the average normal stress in the aluminum and the bras. PARTS D & E ONLY PLEASE

Mohr circle exercise: (values are in MPa) 30 5 ij 5 15 Draw MC for a given stress state. a. b. What is the magnitude of the maximum shear stress? ||

Question 11 of 15 -/ 10 E View Policies Current Attempt in Progress Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are S-26 MPa, S,-75 MPa, and Sy-27 MPa. (a) Draw Mohr's drde for this state of stress. (b) Determine the principal stresses and the maximum In-plane shear stress acting at the polnt () Show these stresses on an appropriate sketch (eg, see Fie 12.15 or Fie 1216). (d) Determine the absolute maxdmum shear stress at the point. S. Answer: (a) Draw Mohr's Circle for this state of stress. (b) op1- MPa MPa MPa Imax inplane" (d Show these stresses on an appropriate sketch (eg. see Fig 1215 or Fie 12.16) MPa (d) Tacs max" Attempts: 0 of 1 used Submit Answer Save for Later