Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Question
Chapter 9, Problem 3P
To determine
Find the maximum negative shear at point B.
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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
OB
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)
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.
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- Q.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_forwardThe 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_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_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_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_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_forward
- 4.18. 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_forward1. Shown in Figure 1 is a beam subjected to varying loadings and a point load. 12 kN 3kN/m 6 kN/m a) Determine the magnitude and direction of the force equivalent to the forcing system. Specify its location on the beam from point B. A 5m b) Calculate for the support reactions at A and B. Fig. Iarrow_forwardDetermine 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.arrow_forward
- Prob. 1.4-15. Determine the internal resultants FG, VG, and Me on the cross section at G of the horizontal frame member in Fig. P1.4-15. The uniformly distributed load on member AC has a magnitude w, = 3.2 kN/m. (See the inset for a definition of the resultants.) 60° B 1 m G B 0.5 m 0.5 m MG VG FG G P1.4-15 and P2.2-16 WO CIT 1.2 m D-+ 0.6 marrow_forward8.28 The rectangular beam ABC, 100 mm wide by 400 mm deep, is supported by a pin at A and the cable CD. Determine the largest vertical force P that can be applied at B if the normal stress in the beam is limited to 120 MPa. D 3 400 mm B 2 m 1.0 m - FIG. P8.28arrow_forward2 Points Determine the shear force at point A for the beam shown below. 80 kN m 90 kN 100 kN - m 75 kN 4 m- -3 m 6 m -2 m--2 m- 75 kN m- Select the correct response: 40 kN 100 kN 55 kN 10 kNarrow_forward
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