Answered: x K/ft 10k 3 2' 4' 1-5 Figure 4

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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El is constant for the beam shown in Figure 4. • Compute the rotation of the beam at B. • Compute the vertical deflection at B. Use the method of virtual work e.g visual integration, the principle of superposition. Handwritten work only and pls ensure neatness.
Use the method of virtual work, for example, virtual integration, and principle of superposition , handwritten work only don’t forget FBDs and ensure neatness pls.
The cantilevered handle shown here is made from mild steel. Let Fy= 300 Ibf and Fx= Fz= 0. The part dimensions are as follows: doA = 1.5 in, dAB= 0.875 in and dBc= 1.5 in, dcD=1 in, LAB=10 in, LCD= 12 in. Determine the angle of twist in the bar OC, ignoring the fillets but including the changes in diameter between O and C. Compare the angle of twist if the bar OC is simplified to be of uniform diameter equal to dAB. Use superposition to determine the vertical deflection (along the y-axis) at D, using the simplified bar OC. 2 in A LAB doa B C -in R. 2 in daB dBc dco Lco
Part e) Rotation_at_B Use the principle of virtual work to determine the rotation at Support B. (The positive direction of a rotation is clockwise. Please present your result to 4 decimal places.) Radians
Answer 2a please
1. Determine the maximum deflection of the beam by; 11 Direction Integration Method 2 Moment-Area Method EI 12 m 80 kN 2EI 12 m E= 200 GPa 1 = 600 x 106 mmª
Problem 3 Conjugate Beam Method: For the given beam below, answer the questions. El = constant: P M=Pa B a a (a) Draw the conjugate beam (clearly show the supports of the conjugate beam and mark the important values). (b) Determine the slope angle at point B, 0B, of the real beam using the conjugate beam method. Determine the deflection at point B, Ag, of the real beam using the conjugate beam method.
QUESTION 2 - BEAM For the beam shown below, determine the vertical deflection at point B by using the virtual work method. EI is constant. -5 ft A -5 ft 12 k Į -5 ft B -5 ft- 70 k-ft Fig. 2
2. Use the virtual work method to determine the horizontal deflections at joint C of the frame shown. 20 kN B B 3 kN/m olish br 10 m H C 10 m El= constant E = 200 GPa 1=400(106) mm²
Problem 5 The cantilever beam shown below is non-prismatic and is loaded with a concentrated load at free end B. Determine: a) the vertical deflection at B, b) the rotation at B (use either double integration or moment area) A is ft I₁ = 6000 in 4 10 ft = 3000 in 4 H 20 B K E=29000 ksi
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