Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Chapter 9, Problem 6P
To determine
Find the maximum positive and negative shears and the maximum positive and negative bending moments at point C.
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For the beam shown in Fig. 9.5(a), determine the maximum positive and negative shears and the maximum positive and negative bending moments at point C due to a concentrated live load of 90 kN, a uniformly distributed live load of 40 kN/m, and a uniformly distributed dead load of 20 kN/m.
5.9: For the beam in Fig. P5.9, determine the extreme value
of the shearing force and bending moment at point D due to
the concentrated live load of 30 kN, a unifomly distributed
live load of 3 kN/m (of any length), and a uniformly
distributed dead load of 1 kN/m.
D
E
F
A
20 m
30 m
30 m 15 m y15 m
20 m
Figure P5.9
= 1937.5
(Max. Vp = 60.417 kN; Min. VD = -45.833 kN; Max. Mp
%3D
%3D
kN.m; Min. Mp = -1100 kN.m)
Determine the absolute maximum shear in a 15-m-long simply supported beam due to the series of three moving concentrated loads shown in Fig. P9.13.
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- Prob. 4.3-13. The solid circular shaft in Fig. P4.3-13 is sub- jected to a distributed external torque that varies linearly from intensity of to per unit of length at x = 0 to zero at x = L. The shaft has a diameter d and shear modulus G and is fixed to a rigid wall at x = 0. (a) Determine an expression for the maximum (cross-sectional) shear stress in the shaft as a function of the distance x from the left end. (b) Deter- mine an expression for the total angle twist, d. at the free end. The shear modulus of elasticity is G. C to -t(x) P4.3-13 OBarrow_forwardThe rigid frame shown in Fig.1 is pinned at A and roller supported at D. For the given loading, determine the support reactions and draw the axial force, shear force and bending moment diagrams. 112 kN- 6 m B A 17.5 kN/m 9 m с D 4.5 m 67.5 KN 4.5 m Fig.1arrow_forwardQ.2. A beam ABC with an overhang at one end supports a uniform load of intensity 12 kN/m and a concentrated load of magnitude 2.4 kN as shown in figure (2). Draw the shear-force and bending-moment diagrams for this beam. 12 kN/m -1.6 m- H B -1.6 m- Fig. (2) 2.4 kN 1.6m icarrow_forward
- The continuous beam ABC, Fig.2, is fixed at A and pinned at C with a roller support at B. The point loads of 30 KN and 20 kN act at the midpoints of AB and BC respectively. Use the method of consistent deformations to determine the reaction components and draw the shear force and bending moment diagrams for the beam. (constant EI). AH F 30 kN ↓ 12m 20 kN 12m Fig.2arrow_forwarddetermine the maximum positive and negative shears and the maximum positive and negative bending moments at point C due to a concentrated live load of 150 kN, a uniformly distributed live load of 50 kN/m, and a uniformly distributed dead load of 25 kN/marrow_forwardFor the beam shown, determine the maximum positive and negative shears and the maximum positive and negative bending moments at point C due to concentrated live load of 150 kN, a uniformly distributed live load of 50 kN/m. The weight of the beam is 25kN/m. 5 m 6 m D m 4 m-arrow_forward
- The rigid frame shown in Fig.1 is pinned at A and roller supported at D. For the given loading, determine the support reactions and draw the axial force, shear force and bending moment diagrams. 17.5 kN/m C 4.5 m 112 kN- B 67.5 kN 6 m 4.5 m Fig.1 9 marrow_forwardThe beam ABC, Fig.2, is fixed at A and roller supported at B. Use the method of consistent deformations to determine the reaction components, and draw the shear force and bending moment diagrams for the beam. (constant El) 15 kN/m MIM Fig.2 7m 7m Barrow_forward4.18. Consider the balcony-type structure shown in Fig. 4-23. The horizontal balcony is loaded by a total load of 80 kN distributed in a radially symmetric fashion. The central support is a shaft 500 mm in diameter and the balcony is welded at both the upper and lower surfaces to this shaft by welds 10 mm on a side (or leg) as shown in the enlarged view at the right. Determine the average shearing stress existing between the shaft and the weld. Ans. 2.5 MPa 94 DIRECT SHEAR STRESSES [CHAP. 4 80 kN 10 mm -500 mm 10 mm Fig. 4-23 500 mmarrow_forward
- 60 100 60 30 200 10 50 100s 2000 400 300 120 VA 12" FIG. P 2-17 6' 2-18. Determine the resultant of the parallel, coplanar force system shown in Fig. P 2-18 and locate it with respect to point A. FIG. P 2-18arrow_forwardDraw qualitative influence lines for the bending moment and shear at point A of the building frame shown in Fig. P14.19. Also, show the arrangements of a uniformly distributed downward live load wl to cause the maximum positive bending moment at A, and the maximum negative shear at Aarrow_forward(6.70 A beam with two equal overhangs carries a unitoad between supports A and B and concentrated loads at the free ends. shown in Fig. P6.70. (a) Write an expression for distributed load, shear, and moment acting in the beam. (b) Draw shear and moment diagrams. y P=-10 KN A -1 m w = 15 kN/m 2 m Figure P6.70 P=10 KN B 123 Narrow_forward
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