Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Use the method of section to find the force in members BD, BE and CE.
The simply supported beam below has two different distributed loads acting on it. In the first section, the distributed load has a constant value of w = 20 kN/m. In the second section, the distributed load
has a constant value of v= 6 kN/m.
If the loads were to be replaced by a single load H such that the two loadings are equivalent, then what would the distance d need to be in m?
W
A
2m
1m
V
B
d
H↓↓
B
The steel box wrench (E=29,000ksi, v=0.32) is
loaded with a 40-lb horizontal force and a 25-lb
vertical force. Find the following for an element
located at point B on Section a-a:
24 in.
1. The non-vanishing resultant internal moments
on section a-a are which of the following?
4 in.
a. (160 i- 600 j+960 k)in · Ib
b. (-160 i+600 j+960 k ) in · lb
c. (-960 i+160 j+600 k)in - lb
d. (-960 i -160 ј-600 k)in-lb
a
e. none of the above
2. The normal and shear force components on
section a-a are:
a. V, = 65lb;V, = 40lb; N¸ = 25lb
b. V, = 0;V, =40lb; N, = 25lb
c. V, = 64;V, = 25lb; N, = 40lb
d. V, =0;V, =-40lb; N¸ = -25lb
e. none of the above
3. The non-vanishing stress components at point B are:
0̟ =1.60; t =-4.89ksi;
а.
0, =-4.89; 7 =3.60ksi;
0, = 2.50ksi; T,
d. o, = 4.91ksi; t =-4.89ksi;
b.
с.
=-4.89ksi;
е.
none of the above
4. The principal stresses at point B from most tensile to most compressive are:
O1,02,0; =4.16,–0.8,–5.76
b. o,,0,,0, =5.76,0,–4.16
а.
O1,02,0; =1.9,-2.45,-6.8
с.
d.…
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