mom

1. Determine the internal normal force, shear force, and
bending moment at point C in the beam.
Determine the resultant internal normal and shear force in
the member at (a) section a–a and (b) section b–b, each of
which passes through point A. The 500-lb load is applied
along the centroidal axis of the member.
(a) Na = 500 lb Va = 0 (b) Nb = 433 lb Vb = 250 lb
The serving tray T used on an airplane is supported on each side by
an arm.The tray is pin connected to the arm at A, and at B there is a
smooth pin. (The pin can move within the slot in the arms to permit
folding the tray against the front passenger seat when not in use.)
Determine the resultant internal loadings acting on the cross section
of the arm through point C when the tray arm supports the loads
shown.
NC = - 18.2 N VC = 10.5 N MC = - 9.46 N m
Questions

2. The bolt shank is subjected to a tension of 80 lb. Determine
the resultant internal loadings acting on the cross section at
point C.
NC = -80 lb VC = 0 MC = -480 lb in
The lever is held to the fixed shaft using a tapered pin AB,
which has a mean diameter of 6 mm. If a couple is applied to
the lever, determine the average shear stress in the pin
between the pin and lever.
=29.5 MPatavg
The bar has a cross-sectional area A and is subjected to
the axial load P. Determine the average normal and
average shear stresses acting over the shaded section,
which is oriented at θ from the horizontal.
During the tension test, the wooden specimen is subjected
to an average normal stress of 15 Mpa. Determine the axial
force P applied to the specimen. Also, find the average
shear stress developed along section a–a of the specimen.

3. The average shear stress in each of the 6-mm diameter
bolts and along each of the four shaded shear planes is
not allowed to exceed 80 MPa and 500 kPa,
respectively. Determine the maximum axial force P that
can be applied
to the joint. P= 20 kN
d = 0.0135 m
The frame is subjected to the load of 4 kN which acts on
member ABD at D. Determine the required diameter of the
pins at D and C if the allowable shear stress for the material is
𝜏 𝑎𝑙𝑙𝑜𝑤 = 40 𝑀𝑃𝑎. Pin C is subjected to double shear, whereas
pin D is subjected to single shear.
dC = 11.3 mm dD = 13.9 mm

4. The triangular plate ABC is deformed into the shape shown
by the dashed lines. If at A, 𝜀 𝐴𝐵 =0.0075, 𝜀 𝐴𝐶 =
0.01, 𝑎𝑛𝑑 𝛾𝑥𝑦 = 0.005 𝑟𝑎𝑑 and rad, determine the average
normal strain along edge BC. 𝜀 𝐵𝐶 = -5.98(10e-3)
The triangular plate is fixed at its base, and its apex A is
given a horizontal displacement of 5 mm. Determine the
shear strain, 𝛾𝑥𝑦 at A.
𝛾 𝑥𝑦 =0.00880 rad