Using Castigliano's Second Theorem. For the truss shown in the figure, Members AB, BC, CD, & AD have a cross-sectional area of 3 in2. Member BD have has a cross-sectional area of 4 in2. Modulus Elasticity for all members is 29 million pounds per square inch. If the value of P1 is 40 kips and P2 is 20 kips, determine the vertical deflection at B (in) and horizontal deflection at D (in). Put a negative sign if the reaction is downward or left direction.

Q: b) Determine the transformation matrix of all elements.

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Q: For the truss shown in Figure 3, members AC and BC have cross sectional area of 2 in.² while members…

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Q: Use the method of joints to determine the force in each member of the truss. State whether each…

A: It is required to find forces in truss members.

Q: ows an elastic be igidity EI and deflection v(x) d by an equation

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Q: Consider the truss shown in (Figure 1). Take A = 0.0015 m² and E = 200 GPa for each member, and F=…

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Q: Both portions of the rod ABC are made of an aluminum for which E = 69.2GPa. Knowing that the…

A: Determine the value of P (in N) so that the deflection at A is zero.

Q: Determine the deflection at point C of the beam shown by Castigliano’s Second Theorem

A: E=200GPa I=146*106 mm4 To find deflection at point C

Q: d) Assemble the system stiffness matrix (movable DOFs only)

A: Find: System stiffness matrix (movable DOF only)

Q: A truss carries a concentrated load at points B. E F. and G as shown in the figure below. Using unit…

A: reaction is calculated and value of P is find=20KN

Q: For the truss in figure below, the cross-sectional area of the truss members is A=500 mm² and…

A: A truss is given, we need to find out the strain energy.*Note: As per Bartleby's guidelines we are…

Q: 4. The truss shown in figure Q4.1 is constructed out of square steel bars, all of which are of 25mm…

A: Given values: Area of members, A = 25 mm * 25 mm = 625 mm2 Young's modulus, E = 200 * 103 MPa Using…

Q: Rigid bar ABC is supported by bronze rod (1) and stainless steel rod (2) as shown in the figure. A…

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Q: Can

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Determine by the method of nodes the forces at which all the…

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Q: Q2 / The cross sectional area of each member of the truss as shown in the figure below 1.75 in? and…

A: The cross-sectional area of each member(A)=1.75 in2, Modulus of elasticity(E)=29 x103 ksi, Load(P)=9…

Q: For the beam and loading shown, use discontinuity functions to compute (a) the slope of the beam at…

A: Given:- E=113000 kip-ft2wo=2.0 kips/ftLAB=15 ftLBC=8 ft To find:- Slope at B Deflection at B

Q: The truss structure shown contains 15 pin-connected elements each with a cross-sectional area of 200…

A: Given that A=200 mm2, E=210 GPa. Let us apply a virtual(dummy) load 'P' instead of 8KN at joint H to…

Q: f) Determine the axial force on each member in terms of P.

A: Find: Axial force on each member