Derive the flexibility matrix of the plane beam shown in figure with respect to the degre shown. Take El = constant. 2 L

Q: There is a wooden beam AD, as shown in the figure below, the Flexural Rigidity of the beam section…

A: Figure is as shown

Q: After being rotated through an angle 0, the stress elements σx and Tx'y' can be calculated by the…

A:

Q: For certain values of w and P, the maximum positive bending moment in the beam is +7044 lb-ft, and…

A: Here,                M = 7044 lb.ft                 Iz  = 18.3990 in4 For positive bending moment,…

Q: o Given: A solid circle rod which is 3 m long with a diameter of d 30 mm. The rod has an applied…

A: Given data - L = 3 m P = 85 KN d = 30 mm E = 70 GPa Poisson ratio = 1/3 Find out - Elongation of the…

Q: A saw-tooth loading is applied as shown in the figure. The flexural stiffness (EI) of the beam is…

A: Given a propped cantilever beam carrying UVL loading. Required- To calculate support reactions.

Q: - Determine the reactions at supports A and B.

A:

Q: The rigid bar shown is pinned at A and supported by two steel rods, each having a diameter of 1 in.…

A: Given,  d = 1 in P = 2 kip  a = b = 1 ft

Q: A beam AB bears the force as follows, and the flexural stiffness of the beam section is constant EI:…

A:

Q: An axial bar is shown below. E = 200 × 10⁹ Pa, A = 0.42 × 10-3 m². The bar can be divided into two…

A:

Q: The uniform beam has a mass of 47 kg per meter of length. Determine the reactions at the supports. A…

A:

Q: A rigid beam is supported by bar DE. If the vertical displacement of point D is to be less than 0.1…

A: Vertical displacement of point D (∆D) = 0.1 in. Determine the minimum cross sectional area of bar DE…

Q: 3. Rigid member ABD is connected to elastic member CDE as shown. For the given loading, what are the…

A: Given E=70GPa A=100 mm2 To Find Vertical displacement at A and E

Q: 3. Rigid member ABD is connected to elastic member CDE as shown. Fo the given loading, what are the…

A: Given Data: E=70 GPa=70×103 N/mm2A=100 mm2CD=0.4m=0.4×1000=400 mm2DE=0.2=0.2×1000=200 mm2

Q: Obtain the forces in the plane truss shown in figure and determine the support reactions also. Use…

A:

Q: The displacement amplitude u, of an SDF system due to harmonic force is known for two excitation…

A: displacement amplitude u0 or (X0) = 15 cm and u1 or (X1)  = 0.06 cmAt frequency at w = wn and w =…

Unit Conversion

Standard units are also called SI units. SI units are used for measuring a physical quantity satisfying certain conditions. There are two types of units: fundamental units and derived units. Fundamental units are physical quantities that are independent, that is, they do not depend on other quantities like mass, length, or time. There are plenty of quantities in our lives which need to be measured and compared. Measuring is the comparison of a particular physical quantity with its reference value. A unit is a measure of a fixed physical quantity. A physical quantity is the product of a unit and the numerical value we need to compare with.