Prob.3. With Fig. 3 and the data below, (a) determine the axial stresses in support rods (1) and (2) after load P is applied, and (b) solve for the corresponding rotation, 0, of the beam AD. Assume that angle is very small. A₁ = 1.0 in²., A₂ = 0.5 in²., L₁ = 40 in., L₂ = 60 in. E₁ = 30 × 10³ ksi, E₂ = 20 × 10³ ksi, P = 10 kips a = 20 in., b = 60 in. 12 A (1) 10 a B CO a Fig. 3 b - "Rigid" D

Prob.3. With Fig. 3 and the data below, (a) determine the axial stresses in support rods (1) and (2) after load P is applied, and (b) solve for the corresponding rotation, 0, of the beam AD. Assume that angle is very small. A₁ = 1.0 in²., A₂ = 0.5 in²., L₁ = 40 in., L₂ = 60 in. E₁ = 30 × 10³ ksi, E₂ = 20 × 10³ ksi, P = 10 kips a = 20 in., b = 60 in. 12 A (1) 10 a B CO a Fig. 3 b - "Rigid" D

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Using the virtual work method, detemine the vertical displacement of joint Cof the steel truss shown in Figure Q3. Assume E= 200 GPa and A = 500 mm for all members. 4 m 300 kN Im 120 kN 4m 4m Figure Q3
Before the load P was applied, a gap, ?0 existed between the cantilever beam AC andthe support at B. Knowing that E=200 GPa, determine the magnitude of P for which thedeflection at C is δ and the reaction at B (Hint: Use the method of superposition and beam deflections in Appendix A) ?0 (mm)=2.75 δ (mm)=5.5
Determine the following unknowns on the beam shown below using Conjugate-Beam Method. Consider 250 mm x 250 mm section and E = 200 GPa. Show complete and organized solution. a. Vertical Reaction at C in kN.b. Moment Reaction at C in kN-m.c. Deflection at point B in mm.d. Maximum deflection on the beam in m Valuea = 4.8b = 28c = 11 Thank you very much!
Specifications of the steel rod at B. L=2 meters diameter= 25 mm E= 200 GPa Show complete solution 1. Draw the shear force and bending moment diagrams. 2. Determine the deflection at A
%3D The truss structure (all members have the same area) carry the loading shown (P = 150 kN) Determine the minimum thickness t (in mm) of the steel member considering allowable vertical displacement of C to be 12mm. Use E=200 GPa. Use Virtual Work Method to solve the problem. t E D = 200mm 3m C PV 4m 4m B
(2) 1.250mm Rिgुचि bcam 600mm 300 mm 1,000mm Figure No. 4
The T-shaped beam shown above is supporting a concentrated load P at its free end. The beam has an allowable bending stress of ?????? = 250 MPa and an allowable shear stress of ?????? = 100 MPa. a) Determine the distance to the neutral axis (?̅), second moment of area (?), and the section modulus (?) of the cross-section.b) Draw the shear force diagram (SFD) and bending moment diagram (BMD) of the beam. On your diagrams, express the values of shear and moment in terms of the applied load P.c) Determine the maximum value of P such that bending failure will not occur.d) Determine the maximum value of P such that shear failure will not occur.e) Based on your answers to (c) and (d), what is the maximum load P that can be applied to the beam? Is this beam bending or shear governed?
Analyze the loaded beam as shown. Be guided as follows: Solve for the reactions at supports Draw Shear and Moment Diagrams Compute for deflection at A (AA) and slope at C (0c) using Conjugate Beam Method a. b. С. 50 kN 90 kN D A C 6 m 9 m 9 m El = constant E = 70 GPa %3D I = 95 (106) mm4
Question: Determine the internal loading in the hook shown below at the point R, 8. A free body diagram of the hook's end is provided. The hook may be analysed as a 2 dimensional body. Given: R = 0.2 m 0 = 30 deg F-3 KN 1) Find the normal force N. 2) Find the shear force V. 3) Find the bending moment M. N
The beam ABC is subjected to a point load at the middle of segment AB and a uniformly distributed load at the segment BC, as shown in the figure. A 20 N Set Wo B 1.5W, N/m H Figure 1: Overhang beam L C Find the maximum absolute value of the deflection between the supports A and B - 3 N/m, L = 2 m, EI = 25000 Nm². Use the method of superposition for all parts. Hint: for x > L/2 in segment AB, the solution can be obtained from the table by replacing x by L-x.
Question 3 Determine the deflections in horizontal and vertical directions at point C and the reactions at supports A and B of the truss shown in Figure (3) using the stiffness method. Take E = 210 GPa and A = 170 mm² for all members. 24 KN 3.00 m 4.00 m Figure (3) C B 18 KN
3. Find the value of El midway between the supports for the beam shown. Use the Super Position method. -5 m- 180 KN B m El = constant E = 70 GPa I = 2,340 (106) mm4 15 kN/m m-